May I please receive help?

Answers

Answer 1

Answer:

[tex]\frac{4}{9}[/tex]

[tex]-\frac{9}{4}[/tex]

Step-by-step explanation:

First, solve the equation for y to find the slope of the original line. When you solve for y you get [tex]y=-\frac{9}{4}x+2[/tex]. Since the coefficient of x in slope-intercept form is the slope, -9/4 is the slope of this line.

Perpendicular lines have the opposite slope, so if the slope is a/b then the perpendicular slope is -b/a. Since the slope is -9/4, the perpendicular slope is 4/9.

Parallel lines have the same slope. So, the slope is the exact same, -9/4.

Related Questions

The length of a rectangle is four times its width.
If the perimeter of the rectangle is 70 ft, find its length and width.
length: ft
Х
5 ?
width:
ft

Answers

Let width be x

length=4x

ATQ

[tex]\\ \sf\longmapsto 2(x+4x)=70[/tex]

[tex]\\ \sf\longmapsto 5x=35[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

Width=7ftLength=7(4)=28ft

[tex]\sf{length=28~ft }[/tex][tex]\sf{width=7~ft}[/tex]

Step-by-step explanation:

The length of a rectangle is four times its width.

If the perimeter of the rectangle is 70 ft,

let the width =x

length =4width=4x

According to the question,

the perimeter of the rectangle is 70 ft

2(length+width)=perimeter 2(4x+x)=702(5x)=7010x=70x=70/10x=7

Therefore:-

width =x=7ft

length =4x=4×7=28ft

for a poetry contest the minimum length of a poem is 16 lines. The maximum length is 32 lines. Write an absolute value equation that represents the minimum and maximum lengths

Answers

Answer:

lx-24l ≤ 8

Step-by-step explanation:

lx-24l ≤ 8

x ≤ 8 + 24

x ≤ 32

-----------------

-x + 24 ≤ 8

24 - 8 ≤ x

16 ≤ x

The absolute value equation that represents the minimum and maximum lengths is 8 = |x - 24|.

What is absolute value?

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.

For example, |5| is 5 because it is 5 units away from 0. Also, |-5| is also 5 because -5 is 5 units from 0.

We have been given that for a poetry contest the minimum length of a poem is 16 lines. The maximum length is 32 lines.

To determine the absolute value equation that represents the minimum and maximum lengths.

First, we need to find the difference between both solutions.

⇒ 32 - 16 = 16

Then, divide it by 2.

⇒ 16/2 = 8

⇒ 8 = |x - 32 + 8|

we could also write: 8 = |x - 32 + 8|

⇒ 8 = |x - 24|

Therefore, the absolute value equation that represents the minimum and maximum lengths is 8 = |x - 24|.

Learn more about the absolute value here:

brainly.com/question/1301718

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What number is 12 more than 1/3 of itself?

Answers

Answer:

Step-by-step explanation:

Let the number be x.

1/3 of itself is 1/3 x or x/3.

x = x/3 + 12

3x/3 - x/3 = 12

2x/3 = 12

3/2 * 2x/3 = 3/2 * 12

x = 18

Answer: 18

The equation is formed as x - x/3 = 12. Then the solution of the equation will be 18.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The number is 12 more than 1/3 of itself.

Let the number be 'x'. Then the equation is written as,

x = x/3 + 12

Simplify the equation, then the value of 'x' will be calculated as,

x - x/3 = 12

3x - x = 36

2x = 36

x = 36/2

x = 18

The equation is formed as x - x/3 = 12. Then the solution of the equation will be 18.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Can someone please help

Answers

Answer:

Step-by-step explanation:

A median bisects the side that it is drawn to, so

DM = ME4x - 10 = 3x + 5x - 10 = 5x = 15

So, FN = 4(15) + 3 = 63.

Once again, since a median bisects the side it is drawn to, NE = 63.

There are 268 lockers at Kortright Hills which are numbered from 1 to 268. All the locker doors are shut. On the first day of school, imagine that there are 268 students waiting out.

• The first student goes in and opens all the locker doors.
The second student goes in and closes every other locker door, starting with locker 2.

The third student goes in and changes every third locker, starting with locker 3 (If the do
open, it is closed. If the door is closed, it is opened.

The fourth students goes in and changes every fourth locker, starting with locker 4.

· This continues for all 268 students.

After all 268 students have entered the school, which locker doors will be open?

Answers

Airplane B travels at a speed that is constant but not 0.

from t1 to t2

Airplane A travels at a speed that is constant, but not 0

Airplane B travels at a speed that is 0.

The airplane A is travelling at a faster and faster rate from 0 to t₁, and airplane B moves at a steady but not zero speed from 0 to t₁

What is a line graph?

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

We have a graph for Airplane A shows the speed at which it travels as a function of time. The graph for Airplane B shows the distance it travels as a function of time.

From the graph A and B

From 0 to [tex]\rm t_1[/tex]

Airplane A is travelling at a faster and faster rate.

Airplane B moves at a steady but not zero speed.

From [tex]\rm t_1[/tex] to [tex]\rm t_2[/tex]

Airplane A moves at a constant speed, but not at zero.

Airplane B is travelling at a speed of 0.

Thus, the airplane A is travelling at a faster and faster rate from 0 to t₁, and airplane B moves at a steady but not zero speed from 0 to t₁

There is no real number that makes the expression undefined, therefore the domain would be all real numbers.

All of the following are equivalent fractions except
8/40
3/15
6/30
5/20

Answers

your answer is 5/20 because all of the other fractions are equal. 40/8 = 5 and so on except for 20/5 which equals 4.

What values of x and y satisfy the system of equations
{8x+9y=−3
{6x+7y=1

Answers

A) 8x + 9y = -3
B) 6x + 7y=1
We multiply A) by -(6/8)
A) -6x -6.75y = 2.25 then we add this to
equation B
B) 6x + 7y=1
25y = 3.25
y = 13
and X=-15
^ 5.0
Step-by-step explanation:

Answer:

• Let's first assign identifications to the equations given:

[tex]{ \rm{8x + 9y = {}^{ - }3 \: - - - \{equation \: (a) \} }} \\ { \rm{6x + 7y = 1 - - - \{equation \: (b) \}}} \\ [/tex]

• There are various methods to solve this system of equation, namely;

Graphical methodSubstitution methodElimination methodCalculus (Calculator synthetic method)

1. Graphical method

→ You'll have to draw a graph, demacate it very well following the suitable scale.

→ Get values to plot from both equation (a) and equation (b).

→ Draw respective lines of each equation. The point of intersection of the lines is the answer of the values of x and y.

→ It'll be in coordinate format i.e; (x, y)

2. Substitution method

→ Lemme first consider equation (a)

[tex]{ \rm{8x + 9y = {}^{ - }3 }}[/tex]

• make x the subject of the equation (a):

[tex]{ \rm{8x = - 3 - 9y}} \\ \\ { \rm{x = \frac{ - 3}{8} - \frac{9}{8}y }} \: { \rm{- - - \{equation \: (c)}} \}[/tex]

→ Considering equation (b) next

[tex]{ \rm{6x + 7y = 1}}[/tex]

• substitute x in equation (b) with x in equation (c)

[tex]{ \rm{6( \frac{ - 3}{8} - \frac{9}{8}y ) + 7y = 1 }} \\ \\ { \rm{ - \frac{9}{4} - \frac{27}{4} y + 7y = 1}} \\ \\ { \rm{ \frac{1}{4} y = \frac{13}{4} }} \\ \\ { \underline{ \rm{ \: \: y = 13 \: \: }}}[/tex]

• then find x using equation (c)

[tex]{ \rm{x = \frac{ - 3}{8} - \frac{9}{8} y }} \\ \\ { \rm{x = \frac{ - 3}{8} - \frac{9}{8} (13)}} \\ \\ { \underline{ \rm{ \: \: x = - 15 \: \: }}}[/tex]

3. Elimination method:

→ Here, we have to align the equations so that if we use addition or subtraction operations we remain with one term giving us zero [ eliminated ]

→ Multiply equation (a) by 6 and multiply equation (b) by 8. In order to eliminate x

→ Then we subtract equation (a) with equation (b)

[tex]{ \underline{ \rm{ - \binom{6(8x + 9y = - 3)}{8(6x + 7y = 1)} }}} \\ { \rm{ 0x \: - 2y = - 26 }} \\ \\ { \rm{ - 2y = - 26}} \\ \\ { \underline{ \rm{ \: \: y = 13 \: \: }}}[/tex]

• find x using equation (c)

[tex]{ \rm{x = \frac{ - 3}{8} - \frac{9}{8} y}} \\ \\ { \underline{ \rm{ \: \: x = - 15 \: \: }}}[/tex]

4. Calculator synthetic method:

→ To use this method, you must have a scientific calculator.

→ If you have it, follow the steps below;

Go to mode (press it 3 times until you see "EQN" )Press 1 or any number below the "EQN". It'll display "Unknowns" with 2 and 3 below it. 2 → Two equations system. 3 → 3 equations system.According to our question, it is a two equations system, press 2It'll display a, b and c [ a is the coefficient of x, b is the coefficient of y, c is the constant]For a1 press 8 then press "equal sign", b1 press 9, then equal sign, c1 press -3 then equal sign.

Follow the same procedure for a2, b2 and c2Automatically, It will display the answers

Answer: x = -15, y = 13

Hi can someone answer this.

Answers

Answer:

hello again

Step-by-step explanation:

i think so,

hope it helped

1/x = 3

1/x = 3/1

cross multiply

x = 3

(ILL MARK BRAINLIEST)+ SHOW WORK PLS Jacob bought 12 chicken wings for $18. Fill out a table of equivalent ratios and plot
the points on the coordinate axes provided.

Answers

First we need to figure out the unit rate for one chicken wing . So 18 / 12 equal 1.5
So every chicken wing costs $1.50 each now it is easy to solve the blanks of this table .
2 $3.00
8 $12
12 $18
To make the graph put points on (2,3) (8,12) (12,18) I will try to attach pic of graph but it sometimes doesn’t attach

Two cyclists start from 98 miles apart and begin racing toward each other. Three hours later, they have not yet met and the distance between them is 2 miles. How fast is each of them biking if one bikes 3 mph slower than the other?

Answers

Answer:

18 and 21

..Step by step explanation..1.

let the interior angles of the given triangle be angle a b c respectively.

116+a=180 (Sum of angles on a straight line.)

a=180-116

a=64

.......

112+b=180(Sum of angles on a straight line.)

Sum of angles on a straight line.)b=180-112

b=68

....

angle a +b+c=180 (Sum of angles of a triangle)

64+68+c=180

c=180-132

c=48

.,....

angle c +X =180(Sum of angles on a straight line.)

48+X=180

X=132

Therefore the value of X is 132.

solution,

Let the remaining interior angle of the given triangle be y.

Then,

y+108=180(Sum of angles on a straight line.)

y=72

Again,

2x+X+y=180(Sum of angles of a triangle)

3x+72=180

3x=108

X=108÷3

X=36

Therefore the value of X is 36.

solution,

let the remaining interior angle of the given polygon be a and b .

Then,

100+b=180(Sum of angles on a straight line.)

b=80

......

Again,

a+b+110+90=360(Sum of interior angle of the polygon)

a+80+200=360

a+280=360

a=80

.....

a+X=180(Sum of angles on a straight line.)

80+X=180

X=100

Therefore the value of X is 100.

solution,

The given triangle is an isosceles triangle.So their base angles are equal .

43+43+X=180(Sum of angles of a triangle)

X=180-86

X=94

Therefore the value of X is 94.

solution,

Opposite angles of a parallelogram is equal

So ,

X=125

Therefore the value of X is 125.

solution,

Let the remaining interior angle of the triangle be a .

Then,

a+117=180 (Sum of angles on a straight line.)

a=63

Now,

a+X+83=180(Sum of angles of a triangle)

63+83+X=180

146+X=180

X=34

Therefore ,the value of X is 34.

Plz mark me brainest .Thank you .

a remote control car costs $60. it is reduced to $45 in the sale. by what percentage was the price reduced

Answers

Answer:

25%

Step-by-step explanation:

Answer:

27%

Step-by-step explanation:

It was reduced by 27% because you get the 60 as 100% and 45 as 75% and you’ll get your answer.

Fill in all the missing measures. Show your work.

Answers

Answer:

B= 180-63

= 117°

E= 117°

Alternating angles are equal

Determine the range of the following graph:

Answers

Answer:

The range of x is -5 to +3

Step-by-step explanation:

Answer:

range means the value the x produces.

The range is -8 to zero.

Happy Learning

Find the value of x? LESSON Measuring Angles and Arcs Explain your reason

Answers

Answer:

Step-by-step explanation:

Sum of angles in a circle is 360,

145 + 165 + x = 360

310 + x = 360

x = 360 - 310

x = 50

Given that a circle is equal to 360 degrees. To find the missing Arc Angle,

We can subtract 360 - 165 - 145

This will equate to 50

Therefore your answer is

50

Factorise
x2 - 8x + 15

Answers

Answer:

[tex] {x}^{2} - 8x + 15 \\ (x - 5)(x - 3)[/tex]

I hope I helped you^_^

Answer:

(x-5) (x-3)

Step-by-step explanation:

At first find two numbers, that if you multiply, you get +15x², and the same number, if you do addition, get -8x

Those numbers are: -5x and -3x.

Now replace the -8x with the -5x and -3x. (x² - 5x - 3x + 15)

Now factorise as normal. You should get (x-5) and (x-3)

Hope I helped!

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