Please help! Somewhat confused as to how this is done.

Please Help! Somewhat Confused As To How This Is Done.
Please Help! Somewhat Confused As To How This Is Done.
Please Help! Somewhat Confused As To How This Is Done.
Please Help! Somewhat Confused As To How This Is Done.
Please Help! Somewhat Confused As To How This Is Done.

Answers

Answer 1

Answer:

The second graph

Step-by-step explanation:

Let's start with the top equation, 4y+3x=0

Isolate the y by moving the 3x to the other side. 4y=-3x

Divide both sides by 4 to fully isolate the y which will give you y=-3/4x

There's your first equation.

Then take 4y-x=16 and do the same thing

4y=16+x

y=4+x/4

y=x/4+4

Now you know that one equation is going to go left, or the negative direction, while the other will go right, or positive, meaning there will be a point where they intersect. So just basically look for the one where x/4+4 is rising while going right. Leaving you with either the 1st or 2nd graph.

Then,

Graph both using the rise/run method or just look for an answer choice where one of the equations is positive and intersects at y=4 (since the second equation is x/4+4) which makes it the second graph.

Let me know if you need any extra explanation

Answer 2

Answer:

(-4,3)

Step-by-step explanation:

To solve a system of equations by graphing, we'll need to graph both equations, and find their points of intersection.

Note that both equations are linear (no exponents, no radicals, no variables in a denominator, no variables multiplied to other variables, etc -- just numbers multiplied to a variable and added to other numbers multiplied to a variable).

To graph linear equations, often they are graphed by putting the equation in slope-intercept form.  Alternatively, since it is a line, two points can be found on the line, and then the line can be graphed.

Option 1:  Convert to slope-intercept form

Slope intercept form is [tex]y=mx+b[/tex], where "m" is the slope of the line, and "b" is the y-intercept (the place where the line crosses the y-axis).

To convert to slope intercept form, isolate "y".

First equation:

[tex]4y+3x=0[/tex]

[tex](4y+3x)-3x=(0)-3x[/tex]

[tex]4y=-3x[/tex]

[tex]\dfrac{4y}{4}=\dfrac{-3x}{4}[/tex]

[tex]y=\frac{-3}{4}x[/tex]

Second equation:

[tex]4y-x=16[/tex]

[tex](4y-x)+x=(16)+x[/tex]

[tex]4y=x+16[/tex]

[tex]\frac{1}{4}*(4y)=\frac{1}{4}*(x+16)[/tex]

[tex]y=\frac{1}{4}*x+\frac{1}{4}*16[/tex]

[tex]y=\frac{1}{4}x+4[/tex]

To graph the lines, plot their y-intercepts first, then use their slopes to determine the rest of the line.

Recall that the slope is [tex]\frac{rise}{run}[/tex].

Once the equations are graphed, find the intersection from the diagram, (-4,3).

Option 2:  Graphing from implicit form

The equations currently are in an implicit form (a form where the variables aren't isolated, so neither variable is written in terms of the other).  To graph any line, find and plot two points, then draw the line between them.

To find points on the line, recall that the equation for a line relates the x-coordinate and y-coordinate through the equation.  So, if you want to find the y-coordinate for the line when the x-coordinate is 0, substitute 0 for x, and solve for y.  Often zero is used, because multiplying by zero cancel out the term, and makes the calculations easier.

Equation 1 - finding a point where x=0

[tex]4y+3x=0[/tex]

[tex]4y+3(0)=0[/tex]

[tex]4y+0=0[/tex]

[tex]4y=0[/tex]

[tex]\dfrac{4y}{4}=\dfrac{0}{4}[/tex]

[tex]y=0[/tex]

So, if x=0, then y=0.  So, the point (0,0) is on line 1.

To find another point, we need to choose another number.  As mentioned previously, often zero is used, and we could find a point on the line where the y-coordinate is zero.  However, since we just found that the point (0,0) is on the line, x=0 when y=0, and so y=0 when x=0.  We'll need a new number.

Another number that it often an easy choice mathematically is to choose the coefficient of the other variable.  So, for instance, in equation 1, the coefficient of the y term is "4", so let's choose the x-coordinate to be 4, and find the y-coordinate that goes with it:

Equation 1 - finding a second point, where x=4

[tex]4y+3x=0[/tex]

[tex]4y+3(4)=0[/tex]

[tex]4y+12=0[/tex]

[tex](4y+12)-12=(0)-12[/tex]

[tex]4y=-12[/tex]

[tex]\dfrac{4y}{4}=\dfrac{-12}{4}[/tex]

[tex]y=-3[/tex]

So, if x=4, then y=-3.  So, the point (4,-3) is also on line 1.

Those two points can be plotted, and the line drawn.

Equation 2 - finding a point where x=0

[tex]4y-x=16[/tex]

[tex]4y-(0)=16[/tex]

[tex]4y=16[/tex]

[tex]\dfrac{4y}{4}=\dfrac{16}{4}[/tex]

[tex]y=4[/tex]

So, if x=0, then y=4.  So, the point (0,4) is on line 2.

To find another point, this time, we can choose the y-coordinate to be zero, because we don't already know the x-coordinate that is associated with it.

Equation 2 - finding a second point, where y=0

[tex]4y-x=16[/tex]

[tex]4(0)-x=16[/tex]

[tex]0-x=16[/tex]

[tex]-x=16[/tex]

[tex]-1*(-x)=-1*(16)[/tex]

[tex]x=-16[/tex]

So, if y = 0, then x = -16.  So, the point (-16,0) is also on line 2.

Those two points can be plotted and the line drawn.  Once the lines are drawn, the intersection can be found.  From the diagram, the intersection is (-4,3).

Please Help! Somewhat Confused As To How This Is Done.
Please Help! Somewhat Confused As To How This Is Done.

Related Questions

Classify the following triangle. Check all that apply.

Answers

Well, I can’t see the triangle, but I can give you the defining factors of the types of triangles.

A right triangle will have one right angle (often denoted by a small square connecting the sides of the angle) and two acute angles


An obtuse triangle will have one angle above 90° and two acute angles

An isosceles will have at least two sides of equal length and two angles of equal measure

An equilateral triangle is where all the sides are the same length and all the angles are 60°

A scalene triangle is a triangle in which all the sides are different lengths

A test started at 10:55. the teacher collected the answer scripts 1 hour and 15 minutes later . At what time did she collect them?​

Answers

Answer:

10+1=11 but the 55 so it is now 11:55+15min so it makes it 12:10

Answer:

Hello! The answer to your question is 12:10.

Step-by-step explanation:

1 hour after 10:55 is equivalent to 11:55. Now, we have 15 minutes remaining. We can add in increments of 5 to get to 15 in terms of time:

11:55 + 5 minutes

= 12:00 + 5 minutes

= 12:05 + 5 minutes

= 12:10

5 + 5 + 5 = 15, so we reached 15.

The teacher collected the answer scripts at 12:10.

Please answer with everything needed i appreciate everyones help:))

Answers

Answer:

[tex]a = (h)(2h - 5)[/tex]

Answer:

Area of the rectangle = 2h² - 5

Step-by-step explanation:

• base length l = 5 less than twice the height h

                        = 2h - 5

• height = h

Area of rectangle = base × height

                             ⇒ l × h

                             ⇒ (2h - 5)(h)

                              ⇒ 2h² - 5

Jamie has a restaurant bill of $70.70. About how much money should she leave for a 10% tip?





$7.00
$0.70
$1.00
$7.70

Answers

[70.70 x 10 ]/100 = 7.70
Answer is 7.70$
7.70 is the answerrrrrrrrr

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: y = negative 4 x squared

Answers

The values of a, b, and c are -4,0 and 0 and the parabola opens downward with y-intercept (0,0).

we have

y=-4x^2

What is the standard form of the quadratic equation?

The quadratic equation in standard form is equal to

ax^2+bx+c=0

So,In this problem

a=-4, b=0 and c=0

The y-intercept is the value of y when the value of x is equal to zero

y=-4(0)^2=0

The y-intercept is the point (0,0)

The coefficient a is negative, therefore the parabola opens down.

To learn more about the quadratic equation visit:

https://brainly.com/question/1214333

#SPJ1

Each statement describes a transformation of the graph of . Which statement correctly describes the graph of y = f(x − 7) + 3?

A.
It is the graph of f translated 3 units up and 7 units to the left.
B.
It is the graph of f translated 7 units down and 3 units to the right.
C.
It is the graph of f translated 7 units up and 3 units to the right.
D.
It is the graph of f translated 3 units up and 7 units to the right.

Answers

Answer: D. It is the graph of f translated 3 units up and 7 units to the right

Step-by-step explanation:

the +3 part of the equation makes the function translated vertical 3 units

then the x - 7 part makes it translate horizontal to the right 7 units (always the opposite of the sign)

because when

x-7=0,

x=7

Answers d would b the correct answer

Select the correct graph of −x − 2y = 6.

Answers

Answer:

x = -6-2y

Step-by-step explanation:

help me i give you brainly

Answers

Answer:

False

Step-by-step explanation:

I'm not a 100 percent though

Find the missing angles. will give brainliest if done correctly.

Answers

Answer:

x = 69 v = 103

Step-by-step explanation:

Angles in a triangle add up to 180 degrees:

34 + 77 + x = 180

x = 69

Angles on a straight line add up to 180:

77 + v = 180

v = 103

Answer:

x = 69°V = 103°

Step-by-step explanation:

the sum of the interior angles in a triangles is 180°, take away from 180 the know angles (34° and 77°) and you will have your answer

180 - 34 - 77 = 69°

Now we find angle V

The angle V and the angle of 77 ° are on a straight line, so the sum is 180°, from 180° you subtract 77 ° and you have the value of V

180 - 77 = 103 °

omg help me please!!!!

Answers

the answer is 30yd. the area of the triangle is 36 minus the area of the rectangle which is 6 which gives the answer 30

if you anwser the question i give you brainly

Answers

The graph is in a reciprocal relationship with Option C

What is a Function ?

A function is a mathematical statement used to relate a dependent and n independent variable.

The function is represented by the graph

The nature of the graph is exponential

and the equation is determined by the points on the graph

( 1,1) ( 2,4) '

The equation is

y = ( 1/4) 4ˣ

The inverse of the function will be found by replacing the y variable with x and vice versa and then solving to bring the function into the form of x.

x = ( 1/4) [tex]\rm 4^y[/tex]

Plotting this gives the answer as Option C

To know more about Function

https://brainly.com/question/12431044

#SPJ1

the tens digit of a two digit number is 5 greater than the units digit. if you subtract the reversed number from the original number you will get 1/4 of the original number
what is the original number

Answers

From the given information, the original number is 180. 02

How to determine the original number

Let the unit digit be x

The unit in tens is x+ 5

The original number = 10(x+5) + x = 11x + 50

The reversed number = 10x+ (x+5) = 11x+5

From the information given, we have that

(11x + 50) - (11x + 5) = 1/4 (11x + 50)

Expand the expression

11x + 50 - 11x - 5 = 1/ 4(11x + 50)

Collect like terms

11x - 11x + 50 - 5 = 1/ 4 (11x + 50)

45 = [tex]\frac{11x + 50}{4}[/tex]

Cross multiply

45 * 4 = 11x + 50

180 = 11x + 50

11x = 180 -50

11x = 130

x = 130/11

x = 11. 82

To find the original number, we have

Original number = 11x + 50

Substitute the value of x

Original number = 11(11.82) + 50

Original number = 130. 02 + 50

Original number = 180. 02

Therefore, the original number is 180. 02

Learn more about algebraic expressions here:

https://brainly.com/question/723406

#SPJ1

In the following diagram, PQRS is a square of sides 21 cm. PTS and QTR are two semicircles touching each other at T.

Calculate the area, in cm², of the shaded region.
A 94.5 C 141.8 B 113.4 D 189.0 S​

Answers

Answer:

[tex]94.6cm^{2}[/tex]

Step-by-step explanation:

First we will find the area of Square PQRS.

Area of Square PQRS = Length x Width = 21 x 21

= [tex]441cm^{2}[/tex]

Next we will found the Area of Semicircles PS and QR.

Note: Area of Semicircle PS = Area of Semicircle QR

Area of Semicircle = [tex]\frac{1}{2} \pi r^{2}[/tex]

Total Area of Semicircles PS and QR combined = [tex]2(\frac{1}{2} \pi r^{2} )\\=\pi r^{2}[/tex]

We know that the diameter of PS = QR = 21 cm (due to the length of the square)

Radius = Half of Diameter = 0.5 x 21cm = 10.5cm

Total Area of Semicircles PS and QR = [tex]\pi (10.5)^{2} \\=110.25\pi cm^{2}[/tex]

Finally,

Area of Shaded Region = Area of Rectangle PQRS - Total Area of Semicircles PS and QR

= [tex]441 - 110.25\pi\\= 94.6cm^{2} (1dp)[/tex]

In this case , you can choose the nearest answer as there might be some rounding differences.

According to a report in USA Today, more and more parents are helping their young adult children get homes. Suppose eight persons in a random sample of 60 young adults who recently purchased a home in Kentucky received help from their parents. You have been asked to construct a 95% confidence interval for the population proportion of all young adults in Kentucky who received help from their parents. What is the margin of error for a 95% confidence interval for the population proportion

Answers

The margin of error for a 95% confidence interval for the population proportion is 0.0815.

Given sample size=60 and confidence interval of 95%.

We have to calculate margin of error for a confidence interval of 95%.

Margin of error is the difference between actual values and calculated values. Margin of error is a part of z test.

We have been given sample size=60.

8 people have received help from their parents from the sample.

p=8/60=0.13

which is sample proportion.

z=1-0.13

=0.87

To calculate standard error=[tex]\sqrt{p*z/n}[/tex]

=[tex]\sqrt{0.13*0.8/60}[/tex]

=0.0416

at 95% confidence interval

z(α/2)=1.96

therefore margin of error=1.96*0.0416

=0.081536

=0.0815

Hence the margin of error for 95% confidence interval is 0.0815

Learn more about margin of error at https://brainly.com/question/10218601

#SPJ4

find f(-1) and find one value of x for which f(x)=0

Answers

[tex]f( - 1) = - 3[/tex]

[tex]f(x) = 0 \\ for \: x = 2 \: or \: x = - 2[/tex]

20 points!!
Show that for any real numbers a and b, and any integers x and y so that x≠0, y≠0, x≠y, and x≠-y,
(y/x-x/y)((ax+by)/(x+y)-(ax-by)/(x-y))=2(a-b).

Answers

See below for the proof of the equation [tex]\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)[/tex]

How to prove the equation?

The equation is given as:

[tex]\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)[/tex]

Take the LCM

[tex]\frac{(ax + by)(x - y) -(ax - by)(x + y)}{(x + y)(x - y)}= 2(a - b)[/tex]

Expand

[tex]\frac{ax^2 - axy + bxy - by^2 -ax^2 - axy + bxy + by^2}{(x + y)(x - y)}= 2(a - b)[/tex]

Evaluate the like terms

[tex]\frac{-2axy + 2bxy }{(x + y)(x - y)}= 2(a - b)[/tex]

Rewrite as:

[tex]\frac{-2axy + 2bxy }{x^2 - y^2}= 2(a - b)[/tex]

Factorize the numerator

[tex]\frac{2(a - b)(x^2 - y^2)}{x^2 - y^2}= 2(a - b)[/tex]

Divide

2(a - b)= 2(a - b)

Both sides are equal

Hence, the equation [tex]\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)[/tex] has been proved

Read more about equations at:

https://brainly.com/question/2972832

#SPJ1

PLEASE HELP!!!!!!!!!!!!I BEG YOU

Answers

Answer is 100
Reason - it’s a vertical angle, it is the same measurement, it is congruent
The answer is also 100 because it’s a vertical angle so it’s the same

Caraline is planting flowers in her garden she plants 7 flowers in 4 minutes after 12 minutes she has planted 21 different flowers

Answers

Answer:

A.28 minutes

B.40 minutes

C.56 minutes

D.70 minutes

Step-by-step explanation:

9 times 2/3=
SIMPIFIED

Answers

Answer:

6

Step-by-step explanation:

9 x 2/3

9/1   x 2/3 =   18 / 3  = 6

I will give Brainliest.

Answers

Answer:

m=months

clark= 10000-105m

lois= 7500-50m

10000-105m=7500-50m

+50m

10,000-55m=7500

-10000

-55m=-2500

simplify

55m=2500

divide by 55

m=45.45

so i would say b

Hope This Helps!!!

b.HELPPPP MEEEE PLSSSS AND THANK YOUU

Answers

Answer:

A. (3, 8) and [tex]2\sqrt{2}[/tex]

B. (2, 4) and [tex]2\sqrt{10}[/tex]

Step-by-step explanation:

Midpoint formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2})[/tex]

Distance formula: [tex]\sqrt{(x_{2}-x_{1}) ^2+(y_{2}-y_{1}) ^2 }[/tex]

A. plug in the points in the formulas

(4, 7) and (2, 9)

Midpoint:

[tex](\frac{4 + 2}{2} , \frac{7+9}{2} )=6/2, 16/2 = (3,8)[/tex]

Length:

[tex]\sqrt{(2-4)^2+(9-7)^2}=\sqrt{4+4} =\sqrt{8} =2\sqrt{2}[/tex]

B.

(5, 5) and (-1, 3)

Midpoint:

[tex](\frac{5-1}{2} , \frac{5+3}{2} )=4/2,8/2=(2,4)[/tex]

Length:

[tex]\sqrt{(-1-5)^2+(3-5)^2} =\sqrt{-6^2+-2^2} =\sqrt{36+4} =\sqrt{40} = 2\sqrt{10}[/tex]

Can you consider marking my answers as brainliest lol it would mean a lot. Hope this helped.

Which quadratic equation does not have a real solution? (1 point)
3x2 − 6x + 3 = 0
−4x2 − 4x − 6 = 0
−x2 − 6x − 9 = 0
2x2 − 10x − 5 = 0

Answers

Since it has a negative discriminant, the quadratic equation that does not have a real solution is given by:

−4x2 − 4x − 6 = 0.

What is the discriminant of a quadratic equation and how does it influence the solutions?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The discriminant is:

[tex]\Delta = b^2 - 4ac[/tex]

The solutions are as follows:

If [tex]\mathbf{\Delta > 0}[/tex], it has 2 rational solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has 1 rational solutions.If [tex]\mathbf{\Delta < 0}[/tex], it has 0 real solutions.

We want [tex]\Delta < 0[/tex], hence, for equation -4x² - 4x - 6, we have that a = -4, b = -4, c = -6, hence:

[tex]\Delta = (-4)^2 - 4(-4)(-6) = 16 - 96 = -80[/tex]

Negative discriminant, hence it does not have a real solution.

More can be learned about the discriminant of a quadratic function at https://brainly.com/question/19776811

#SPJ1

Answer:

The answer above is correct. The answer was confirmed by a teacher, and was marked as correct on the test

Step-by-step explanation:

math!!

PLEASE HELP!!

what is the angle indicated in the triangle below??

a) 46 degrees

b) 65°

c) 44°

d) 35°

e) 55°

f) 90°

Answers

Answer:

e) 55°

Step-by-step explanation:

use the tangente ratio

[tex]tan\alpha =\frac{10}{7} =1.42857[/tex]

[tex]angle(?)=tan^{-1} (1.42857)=55^{0}[/tex]

Hope this helps

Answer:

55 degrees (e)

Step-by-step explanation:

This is a trigonometry problem. We are given a right triangle with an unknown angle in which the opposite and adjacent sides of the angle are known (10 and 7). We also know that the tangent of any angle is the length of the opposite divided by the length of the adjacent. If we let the unknown angle be Ф, we can say that tan(Ф) = 10/7. To isolate Ф, all we have to do is take the inverse. In other words, Ф = arctan(10/7). Using a graphing calculator, we find that arctan(10/7) is approximately 55 degrees.

Pleased help asp
Please help asp
Please help asp

Answers

3 1/3 is the proper and the improper fraction is 10/3

Can someone help me with these 4 geometry questions? Pls it’s urgent, So ASAP!!!!

Answers

Question 4

1) [tex]\overline{BD}[/tex] bisects [tex]\angle ABC[/tex], [tex]\overline{EF} \perp \overline{AB}[/tex], and [tex]\overline{EG} \perp \overline{BC}[/tex] (given)

2) [tex]\angle FBE \cong \angle GBE[/tex] (an angle bisector splits an angle into two congruent parts)

3) [tex]\angle BFE[/tex] and [tex]\angle BGE[/tex] are right angles (perpendicular lines form right angles)

4) [tex]\triangle BFE[/tex] and [tex]\triangle BGE[/tex] are right triangles (a triangle with a right angle is a right triangle)

5) [tex]\overline{BE} \cong \overline{BE}[/tex] (reflexive property)

6) [tex]\triangle BFE \cong \triangle BGE[/tex] (HA)

Question 5

1) [tex]\angle AXO[/tex] and [tex]\angle BYO[/tex] are right angles, [tex]\angle A \cong \angle B[/tex], [tex]O[/tex] is the midpoint of [tex]\overline{AB}[/tex] (given)

2) [tex]\triangle AXO[/tex] and [tex]\triangle BYO[/tex] are right triangles (a triangle with a right angle is a right triangle)

3) [tex]\overline{AO} \cong \overline{OB}[/tex] (a midpoint splits a segment into two congruent parts)

4) [tex]\triangle AXO \cong \triangle BYO[/tex] (HA)

5) [tex]\overline{OX} \cong \overline{OY}[/tex] (CPCTC)

Question 6

1) [tex]\angle B[/tex] and [tex]\angle D[/tex] are right angles, [tex]\overline{AC}[/tex] bisects [tex]\angle BAD[/tex] (given)

2) [tex]\overline{AC} \cong \overline{AC}[/tex] (reflexive property)

3) [tex]\angle BAC \cong \angle CAD[/tex] (an angle bisector splits an angle into two congruent parts)

4) [tex]\triangle BAC[/tex] and [tex]\triangle CAD[/tex] are right triangles (a triangle with a right angle is a right triangle)

5) [tex]\triangle BAC \cong \triangle DCA[/tex] (HA)

6) [tex]\angle BCA \cong \angle DCA[/tex] (CPCTC)

7) [tex]\overline{CA}[/tex] bisects [tex]\angle ACD[/tex] (if a segment splits an angle into two congruent parts, it is an angle bisector)

Question 7

1) [tex]\angle B[/tex] and [tex]\angle C[/tex] are right angles, [tex]\angle 4 \cong \angle 1[/tex] (given)

2) [tex]\triangle BAD[/tex] and [tex]\triangle CAD[/tex] are right triangles (definition of a right triangle)

3) [tex]\angle 1 \cong \angle 3[/tex] (vertical angles are congruent)

4) [tex]\angle 4 \cong \angle 3[/tex] (transitive property of congruence)

5) [tex]\overline{AD} \cong \overline{AD}[/tex] (reflexive property)

6) [tex]\therefore \triangle BAD \cong \triangle CAD[/tex] (HA theorem)

7) [tex]\angle BDA \cong \angle CDA[/tex] (CPCTC)

8) [tex]\therefore \vec{DA}[/tex] bisects [tex]\angle BDC[/tex] (definition of bisector of an angle)

look at image.................

Answers

Answer:

-1/3

Step-by-step explanation:

When x is 1, y is 5

When x is 4, y is 4

5-4=1

1-4=-3

1/-3=-1/3

4.Find three consecutive integers such that the difference of double the largest number and triple the smallest number is -44. Find the three numbers by setting up an equation. Make sure to define your variables

Answers

Solving a linear equation, we will see that the 3 numbers are:

48, 49, and 50.

How to find the 3 numbers?

3 consecutive integers can be written as:

x, x + 1, x + 2

Here we know that 2 times the largest number minus 3 times the smallest one is -44, then:

2*(x + 2) - 3x = -44

We can solve that linear equation for x:

2x + 4 - 3x = -44

(2 - 3)x = -44 - 4

-x = -48

x = 48

Then the 3 numbers are:

x = 48x + 1 = 49x + 2 = 50

If you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Which equation represents the line that is perpendicular to and passes through (-40,20)?

Answers

The equation of the perpendicular line to the given line is: y = -5/4x - 30.

What is the Equation of Perpendicular Lines?

The slope values of two perpendicular lines are negative reciprocal of each other.

Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.

Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.

Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:

20 = -5/4(-40) + b

20 = 50 + b

20 - 50 = b

b = -30

Substitute m = -5/4 and b = -30 into y = mx + b:

y = -5/4x - 30

The equation of the perpendicular line is: y = -5/4x - 30.

Learn more about about equation of perpendicular lines on:

https://brainly.com/question/7098341

#SPJ1

A searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb is located at the focus of the parabola in order to give the best illumination. The mirror is modeled by y^2=36(x-10), where the measurements are in cm. What is the location of the light bulb?

Answers

Answer:

the third option

Step-by-step explanation:

Our equation is

[tex] {y}^{2} = 36(x - 10)[/tex]

Equation of a vertical parabola is

[tex]( {y - k)}^{2} = 4p(x - h)[/tex]

where (h,k) is the center

The focus is

(h+p, k)

Equation of directrix is

x= h-p,

Here the center is (10,0)

Next, we factor out 4 in the original equation

[tex]4(9)[/tex]

So we have

[tex] {y}^{2} = 4(9)(x - 10)[/tex]

So our p=9,

So our focus is

(10+9,0) or (19,0)

The third option is the answer

The location of the light bulb is at point A. (10, 0).

Option A is the correct answer.

We have,

To find the location of the light bulb, we need to identify the coordinates (x, y) at which the light bulb is located.

In the given parabolic mirror equation, y² = 36(x - 10), the vertex form of the equation for a parabola with a vertical axis is (h, k), where h is the

x-coordinate of the vertex and k is the y-coordinate of the vertex.

Comparing the given equation with the standard form

(y - k)² = 4a(x - h),

we can see that h = 10 and k = 0.

So, the location of the light bulb is at the point (10, 0).

Therefore,

The location of the light bulb is at point A. (10, 0).

Learn more about parabola here:

https://brainly.com/question/21685473

#SPJ7

A searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb is located at the focus of the parabola in order to give the best illumination.

The mirror is modeled by y² = 36 (x-10), where the measurements are in cm.

What is the location of the light bulb?

A. (10, 0)

B. (14, 0)

C. (19, 0)

D. (36, 0)

pls step by step on how to do that​

Answers

wth is that wdym ???

Other Questions
18. For the following exercises, use the descriptions of each pair of lines given below to find the slopes of Line 1 and Line2. Is each pair of lines parallel, perpendicular, or neither?18. Line 1: Passes through (0, 6) and (3, -24 Line 2: Passes through (-1, 19) and (8, -71) the graph of f(x)=3x what is the value of x when f(x)=9 Which sentence from the passage uses passive voice?Leaders of the world's governments have to make life-and-death decisions on a daily basis. (paragraph 2)International espionageor spyingis a messy and complex business that has been around for as long as there have been governments (about five thousand years). (paragraph 4)A spy usually works through a person called a controller, who may offer training, provide assignments, and serve as the conduit for information. (paragraph 6)Spies, however, aren't just in make-believe; every day in the real world, spies are watching, listening, taking pictures, and reporting their findings. (paragraph 1) The negative charge established along a nerve cell membrane is due to (select all that apply) A. movement of Cl- into the cell B. movement of proteins out of the cell C. movement of Na into the cell D. higher permeability of K relative to Na E. intracellular protein anions A translation is shown on the grid below. On a coordinate plane, triangle A B C has points (negative 4, 2), (negative 4, negative 2), (negative 1, negative 2). Triangle A prime B prime C prime has points (1, 5), (1, 1), (4, 1). Which are true statements about the translation? Select 3 options. The sides of the image and pre-image are congruent. The image is turned 90. The angles in the image are different from the angles in the pre-image. The image is a slide of the pre-image. The image has a different shape than the pre-image. Each point has moved in a different direction. Each point has moved the same number of units. Which three words best describe the composition of the inner planets?solid, smooth, giantrocky, solid, densegiant, dense, gaseousgaseous, smooth, small The school cafeteria should offer food that is healthy and nutritious.What is the authors purpose?Persuadeinforminstructentertain Which investment is the lowest risk?A) Government bondsB) Real estateC) Mutual fundsD) Stocks III- Exercises1. Smith and Son's Department Store has a policy that allows customers to return merchandisefor up to 45 days for a full refund. Based on prior experience, approximately 8% ofmerchandise sold will be returned.In November, the store's total sales were $2,500,000, all for cash. The cost of themerchandise sold was $1,600,000.On November 30, the company prepared the adjusting entries for sales returns.In December, within the allowable return period, customers returned merchandise thatretailed for $100,000 and that cost $66,000 for a refund.Prepare the journal entries for these transactions. Omit explanations. Expressing negationIndefinite and negative wordsPesimista u optimista?Paso 2. Evita, la novia de Federico, es una persona positiva. Escriba las reacciones positivas de Evita ante los comentarios de Federico.1. -No quiero comer nada. La comida aqu es mala.-Pues, yo si quiero comer_______.2. - Nadie viene a atendernos.-Pero aqui viene______a atendernos.3. -Nunca cenamos en un restaurante bueno.- Yo creo que________cenamos en restaurantes buenos.4. -No hay ningn plato sabroso en el men.-Pues, aqu veo _______ platos sabrosos. What is the main reason dylan uses the word "lonesome" to describe hattie carroll's death? she was a single mother. hattie carroll was a lonely woman. no one stood up for her. she was the only person at the party who got killed. ABC Corp. received a 2-month, 8% per year, $1,500 note receivable on December 1. The adjusting entry on December 31 will include a ______. Multiple choice question. debit to Interest Revenue of $10 debit to Interest Receivable of $10 credit to Interest Receivable of $20 credit to Interest Revenue of $120 Oligopolies compete on a non-price basis byYour answer:O colluding with their competitionOkeeping their cost of production lowemphasizing new or different featuresoffer discount coupons i need help on this question for algebra Since 1966, the poverty rate among the elderly has dropped from about 30 percent to 8.9 percent. Which two social programs were most responsible for this change classify the decimal form of the given rational number into terminating and non terminating type the picture below is the problem The density of ocean water _______ when temperature increases and _________ when salinity decreases. Many farmers and gardeners compost their plant and animal waste. The living material naturally decays in compost bins, forming a dirt-like substance thats rich in nutrients. The next season, farmers use this substance as a natural fertilizer for their crops.A biology student has grown tomato plants for several years. Until now, he used an artificial fertilizer formulated for tomato plants. This fertilizer caused his plants to grow faster and taller than they grew in unfertilized soil. The student wants to know whether using natural compost will cause his tomato plants to grow faster and taller than his artificial fertilizer. Which process of the High and Late Middle Ages does the painting above illustrate most?Feudalism Manorialism Urbanization Chivalry