what is the equation of a line in slope intercept form that is perpendicular to y=2x+2 and passes through the point (8,-4)

Answers

Answer 1

Answer:

The equation of the line that is perpendicular to y = 2x + 2 is

y = -1/2x

Step-by-step explanation:

The original equation is y = 2x + 2; it's slope is 2

Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.

Example:

y = 2x + 2 so,

the perpendicular line's slope must be -1/2

Write a new equation with the new slope:

y = -1/2x + b

We know that this line passes through (8, -4)

Plug these coordinates in the equation to find b, the y-intercept

-4 = -1/2 (8) + b

-4 = -4 + b

0 = b

b = 0

We do not have to write y = -1/2x + 0

So, our final answer is "y = -1/2x  is perpendicular to y = 2x+2"


Related Questions

x/9 - 1 = 2 solve for x

Answers

Answer: x=27

Step-by-step explanation:

PLEASE ANSWER THESE 2 QUESTIONS!!!!!! THIS IS A MAJOR GRADE!!!!!!!!!!!!!!!!!

Answers

Answer:

I cant see the problems

Step-by-step explanation:

For the members of the golf club the ratio men:children = 11:2. The ratio women:children is 10:3. Find the ration men:women

Answers

132:80 or 33:20 this is the ratio of men to women

Two-thirds of the T-shirts in a T-shirt shop are blue. Three-sevenths of those T-shirts are on sale.
One-half of the blue T-shirts that are on sale are size medium. What fraction of the shop's T-shirts are
blue T-shirts that are on sale and are size medium? Explain.

Answers

Answer:

1/7

Step-by-step explanation:

Of all the shirts, 2/3 of the t-shirts are blue.

Of the blue shirts, 3/7 are on sale.  Of all the shirts, 2/7 are on sale and blue.

[tex]\frac{2}{3}*\frac{3}{7} =\frac{2}{7}[/tex]

Of the blue shirts on sale, 1/2 are size medium.  Of all the shirts, 1/7 are on sale, blue, and size medium.

[tex]\frac{2}{7} *\frac{1}{2} =\frac{1}{7}[/tex]

The figure below shows the first 3 steps in the construction of a Sierpinski Triangle.
1 equilateral 3 congruent 9 congruent
triangle
equilateral equilateral
triangles
triangles
Which property explains why each of the 9 small triangles in step 3 is similar to the large triangle in step 1?
A. The side-side property of congruent triangles can be used because all the sides of an equilateral triangle are similar.
B. The side-side property of similar triangles can be used because all the sides of an equilateral triangle are congruent.
C. The angle-angle property of congruent triangles can be used because all the angles of an equilateral triangle are similar.
D. The angle-angle property of similar triangles can be used because all the angles of an equilateral triangle are congruent.
ок

Answers

I think the answer is C

Answer:

c

Step-by-step explanation:

can anyone help me with this question?

Answers

Answer:

The answer is D, or 5/7

Answer:

The slope is 5/7

Step-by-step explanation:

From a point to get to the next point, you would need to go 5 up and 7 to the right in this graph.

Will mark Brainliest!!
Part A: An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation
() = −16^2 + 80 where t is time in seconds and f(t) is height in feet. Find how long it will take the
arrow to hit the ground using an algebraic method. Show all of your reasoning/steps used with this algebraic
method.
Part B: Using the information in Part A, find how high the arrow will go at its maximum height, and how
long it takes for this to occur using an algebraic method. Show all of your reasoning used with this
algebraic method

Answers

Answer:

64 higene

Step-by-step explanation:

16 morderate 20 9 oxygen

A man 2 m high observes the angles of elevation of the rops of house and a window on its sode are 45 and 60 respectively. If the top is at height of 12m above the ground , find the height.

Answers

Answer:

The height of the window = x + 2 = 4.23 + 2= 6.23m

Step-by-step explanation:

The angle of elevation of the top of the house and the window is 60 and 45 degree.

We can proceed as drawing a diagram as a man of height 2m and a building of total height 12m.

draw a horizontal line along the height of a man so that it touches building at height 2mtill the window height we assume its height as 'x' from the man's height.distance till the top from the window will be 'y'

we don't know the distance between man and the building let it be 'b'

[tex]\frac{x}{b}=tan 45[/tex] =1

x=b .............(1)

total height of the building is given as 12m

  x + y + 2=12

x + y = 10 .....................(2)

[tex]\frac{x+y}{b} =\frac{x+y}{x }[/tex]  = tan 60

[tex]\frac{10}{x} = \sqrt{3}[/tex]

x = [tex]\frac{10}{\sqrt{3} }[/tex]  ≈ 5.77m

y = 10 -   [tex]\frac{10}{\sqrt{3} }[/tex]

y= 10(1-[tex]\frac{1}{\sqrt{3} }[/tex] ) ≈ 4.23m

The height of the window = x + 2 = 4.23 + 2= 6.23m

PLEASE HELPP!!!! 30 POINTS!!!
In Triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.
Also, AY = 7. BZ = 8, and XZ = 18. What is the perimeter of Triangle ABC?
Make sure you explain why and show all your work.

Answers

Answer:

The perimeter of triangle ABC is 33.

Explanation:

AY = 7 is half of the line of XY so we would then multiply 7 by 2:

7 x 2 = 14

and we would then do this to all of our numbers:

8 x 2 = 16

18 x 2 = 36

now we make a full equation for the answer of the perimeter of triangle XYZ:

14 + 16 + 36 = 66

66 is the perimeter of triangle XYZ.

We would then divide this answer by 2 to find the perimeter of ABC because it is half of XYZ:

66 ÷ 2 = 33

The perimeter of triangle ABC is 33

Hope this helps! :)

A circle has a diameter of 26 mm. What Is Its circumference?

Use 3.14 for 1, and do not round your answer. Be sure to Include the correct unit in your answer

Answers

The circumference is 81.681


The formula for circumference is 2 x pi x radius


In order to find the radius you need to divide 26 by 2


26 divide by 2 is equal to 13


2 x 3.14 x 13= 81.681 or 26pi

The drawing of the building, shown below, has a scale of 1 inch to 30 feet. What is the actual height, in feet, of the building?

Answers

Answer:

Actual height of the building is 37.5 feet

Step-by-step explanation:

Formula to be used to get the actual length of the building,

Scale used = [tex]\frac{\text{Dimension of image (on map)}}{\text{Dimension of actual}}[/tex] = [tex]\frac{1}{30}[/tex]

By this formula,

[tex]\frac{1.25}{\text{Actual height}}=\frac{1}{30}[/tex]

Actual height of the building = 1.25 × 30

                                               = 37.5 feet

Therefore, actual height of the building will be 37.5 feet.

The product of a number and negative 7/10 is 1/2 what is the number

Answers

Answer:

5/7

Step-by-step explanation

The product of a number and negative 7/10 is 1/2 can be written as 1/2=(7/10)x, with this equation, multiply by the reciprocal, 10/7, to make the right side of the equation just x. On the left side, multiply 1/2 by 10/7 because when you do something on one side, you must do it on the other. 1/2 times 10/7 equals 5/7. Leaving you with x=5/7

the answer is 5/7 hope this helps

complete the missing value in the solutuion to the equation​

Answers

Answer:

Step-by-step explanation:

5x-2y=30

Given x=8

5×8-2y=30

-2y=30-40

y=5

A mudslide left 42 acre-feet of mud in a valley. The mud is being
removed at the rate of 5 acre-feet per day.

Answers

Answer:

8.4 days

Step-by-step explanation:

I'm not sure what the question is, but if it's how many days it would take to remove all the mud, you divide 42 by 5 and get 8.4.

Combine and simplify the following radical expression. (2^3 square root 12)(3^3 square root 2)​

Answers

Answer:

(2^3 square root 12)(3^3 square root 2)​(32 square root)

Step-by-step explanation:

i lie

Answer:

432

Step-by-step explanation:

I checked it trust me

¿Cuántos enteros divisibles por 4 y por 9 hay entre 95 y 450?

Answers

Answer:

Hay 10 enteros divisibles por 4 y por 9 entre 95 y 450.

Step-by-step explanation:

Podemos reescribir esta pregunta como sigue: ¿Cuántos números entre 95 y 450 son divisibles por 36? Entonces, existe un conjunto de números enteros [tex]A[/tex] tal que cada elemento satisface la condición que:

[tex]A = \{x= \frac{n}{36}\,\land \,95\le n \le 450, n, x\in \mathbb{Z}\}[/tex] (1)

Sabemos que el entero más pequeño divisible por 36 es:

[tex]x_{min} = \frac{108}{36}[/tex]

[tex]x_{min} = 3[/tex]

Mientras que el entero más grande divisible por 36 es:

[tex]x_{max} = \frac{432}{36}[/tex]

[tex]x_{max} = 12[/tex]

La cantidad de enteros divisibles se obtiene a través de la siguiente expresión algebraica:

[tex]a = 1+(x_{max}-x_{min})[/tex] (2)

[tex]a = 1+(12-3)[/tex]

[tex]a = 10[/tex]

Hay 10 enteros divisibles por 4 y por 9 entre 95 y 450.

Help me out here...........

Answers

Answer:

false cause if they both were added it would be 2/9ths

Step-by-step explanation:

answer:

JUST READ EXPLANATION!!!

Step-by-step explanation:

well, 1/3 divided by 3 =1/9

Which line is a linear model for the data?
Plz help ASAP

Answers

Answer:

the one you have clicked is correct just took that quiz

Step-by-step explanation:

Sum of Angles
Find the value of x and the measure of every angle.
It is Geometry

Answers

Answer:

If the sum of a triangle equals 180 degrees we’ll go off of that by doing this.

(7x+8)+(5x+2)+(7x-1)=180
7x+8+5x+2+7x-1=180
19x+9=180
19x=180-9
19x=171
19x/19=171/19
x=9

With that let’s find each angle,

I’ll just label them A, B, C.

A: (7x+8)
7(9)+8
63+8=71

B: (7x-1)
7(9)-1
63-1=62

C: (5x+2)
5(9)+2
45+2=47

71+62+47=180

Select the correct answer.
What is the solution to this equation?
4(^3 sqrt x – 2) + 1 = 9
A. 10
B. 6
C. 0
D. 8

Answers

Answer:

I got B too so I sure could be right answer but if it's not then I so sorry. B. 6

The solution of the given equation [tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9 will be x = 1.08.

What is a equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given is the following equation -

[tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9

The given equation is -

[tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9

[tex](4)^{3\sqrt{x} -2}[/tex]  = 8

Assume 3[tex]\sqrt{x}[/tex] = n. Then, we can write the equation as -

(4)ⁿ ⁻ ² = 8

(4)ⁿ ÷ (4)² = 8

(4)ⁿ x 1/(4)² = 8

(4)ⁿ = 8 x 16

(2)²ⁿ = (2)³ x (2)⁴

2n = 3 + 4

2n = 7

n = 7/2

3[tex]\sqrt{x}[/tex] = 7/2

[tex]\sqrt{x}[/tex] = 7/6

x = 1.08

Therefore, the solution of the given equation [tex](4)^{3\sqrt{x} -2}[/tex] + 1 = 9 will be

x = 1.08.

To solve more questions on solving equations, visit the link below-

https://brainly.com/question/12113848

#SPJ2

10 x 10= 100
mbnv nmvbnhm
mb cvnmbnbn

Answers

Answer:

well your ans is right over there...

Step-by-step explanation:

thank you!!

Answer:

Yeah...10*10 = 100

so what?

solve: -3 |x-3| = -6 ​

Answers

Answer:

x = 5

Step-by-step explanation:

-3 * (x-3) = -6

3x+9 = -6 (divide by 3)

-x + 3 = -2 (minus 3)

-x = -5 (multiply by -1)

x = 5

Answer & Step-by-step explanation:

Find the slope of the line between the points (-2, 7) and (10, 3)

Answers

Answer:

m = -1/3

Step-by-step explanation:

share £40 in the ratio 1:3:4

Answers

Answer:

hi

Step-by-step explanation:

1x+3x+4x= £40

1. 8x=£40

2. X=40/5

3. X=£5

1×£5= £5

3×£5= £15

4×£5= £20

each will get

£5

£15

£20

Hope It Helps You

Answer the questions. All help needed.

Answers

1. Multiply all the x and y by 2

M (-6,4)

A (-4,6)

T (-2,4)

H (-4,2)

2. They stayed in the same quadrants. The x and y values shifted.

3. Scale factor of 1/2

4. .....mayhaps?

Evaluate the expression when a=4 and b=43

Answers

Evaluate the expression when a=4 and b=43

Answer:78?

Asha borrowed Rs.24000 from a moneylender at a rate of 4% per annum compounded semi annually ,what payment will she have to make after 1year and 6 months to the moneylender to clear her debt ?

Answers

Answer:

Rs. 25,468.8

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

P = principal = RS. 24,000

r = interest rate = 4%= 0.04

n = number of periods = 2

t = years = 1 year and 6 months = 1.5 years

A = p(1 + r/n)^nt

= 24,000(1 + 0.04/2)^2*1.5

= 24,000(1 + 0.02)^3

= 24,000(1.02)^3

= 24,000( 1.0612)

= 25,468.8

A = Rs. 25,468.8

. Your friend claims that it is not possible to have a glide reflection if you have one translation followed by two reflections. Is your friend correct? Explain your reasoning.

Answers

Answer:

Yes my friend  is correct

Step-by-step explanation:

You cannot have a glide reflection if you have one translation which is followed by two ( 2 ) reflections .

This is because Glide reflection is made up of one ( 1 ) reflection in line with a single translation along the same line

Glide reflection is known as  an opposite isometry of the Euclidean plane

Glide reflection is a single operation that involves a reflection over a line and followed by a translation.

Your friend's claim is correct.

From the definition, we can deduce that glide reflection consists of:

1 reflection1 translation

This means that: 1 translation and 2 reflections is not a glide reflection

Hence, your friend's claim is correct.

Read more about glide reflection at:

https://brainly.com/question/2975847


Rewrite as a unit rate

Answers

Answer:

I think its letter A

Step-by-step explanation:

hoped it helped

your answer is 6:1 !

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?

Answers

Answer:

the answer is 6x or by and ax6x 9x

Step-by-step explanation:

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