The area of a rectangle is 99yd^2, and the length of the rectangle is 7 wyd more than twice the width. Find the dimensions of the rectangle.

Note: this answer assumes that it can be written in point-slope form.

Answer:

Equation: [tex]y - 1 = -\frac{4}{5} (x+5)[/tex]

Graph is attached below.

Step-by-step explanation:

1) First, find the slope of the two lines using the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Use the x and y values of the two points given and solve:

[tex]\frac{(-7)-(1)}{(5)-(-5)}\\= \frac{-7-1}{5+5}\\= \frac{-8}{10}\\= \frac{-4}{5}[/tex]

Therefore, the slope is [tex]\frac{-4}{5}[/tex].

2) Next, use the point-slope formula [tex]y-y_1 = m(x-x_1)[/tex] to write the equation. The [tex]m[/tex] represents the slope of the line, so substitute [tex]\frac{-4}{5}[/tex] for

[tex]y - (1) = -\frac{4}{5}(x-(-5)\\y - 1 = -\frac{4}{5} (x+5)[/tex]

Therefore, [tex]y - 1 = -\frac{4}{5} (x+5)[/tex] is the equation of the line.

3) To graph the equation, you can just plot the points (-5,1) and (5,-7) and draw a line with arrows passing through them. After all, you only need two points to graph a line. The graph is attached below.

Equation of the line is 5y - 4x + 55 = 0 .

The equation of a line can be written if two points are known from where it passes. The equation of a line which passes through (x1, y1) and (x2, y2) can be written as:    [tex]y - y1 = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Given,

Line passes through (−5,1) and (5,−7) .

Using two point form,

                                     [tex]y - 1 = \frac{(-7) - 1}{5 - (-5)} (x - (-5))[/tex]

                                  = 10y - 10 = -8x + 80

                                  = 5y - 4x + 55 = 0

Hence, equation of the line is 5y - 4x + 55 = 0 .

To learn more about two point form visit:

https://brainly.com/question/3455295

#SPJ1

Answer:

107°

Step-by-step explanation:

By definition of a triangle, the ∑ of all angles within the triangle = 180°

It is given that two angles measurements are 44 and 29. Set the equation:

180 = 44 + 29 + x

First, simplify. Combine like terms:

180 = (44 + 29) + x

180 = x + 73

Next, isolate the variable, x. Note the equal sign, what you do to one side of the equation, you do to the other. Subtract 73 from both sides of the equation:

180 (-73) = x + 73 (-73)

x = 180 - 73

Subtract:

x = 180 - 73

x = 107

x = 107° is your answer.

~

Answer:

Step-by-step explanation:

i² = -1

[tex]\sqrt{-36}=\sqrt{i^{2}*6^{2}} \\\\ = 6i[/tex]

Answer:

Go to the nether

Step-by-step explanation:

Go to the nether and make sure you have a shield and a fire resistance potion  and make sure you have a bow to shoot them while they fly also make sure you have a good sword and armor cuz the nether is dangerous

Answer: perimeter = 302m

area = 5544m^2

Step-by-step explanation:

perimeter = 2(l + b)

= 2(63 + 88)

= 2 x 151

= 302 m

Area = l x b

= 88 x 63

= 5544 m^2

Hope it helped u,

pls mark as the brainliest

^_^

Answer:

48+84x

Step-by-step explanation:

Distribute the 14 and add

Answer:

84x+48

Step-by-step explanation:

14(2+6x)+20

28+84x+20

84x+28+20

84x+48

Answer:

This equals 58.10. The difference would be 24.90. Hope that helps :)

Step-by-step explanati

Answer:

(-5, 6)

Step-by-step explanation:

1 + 5 = 6

5 - 10 = -5

The original point is (5, 1)

Answer:

i would think its C

Step-by-step explanation:

the other options dont make sense lol

hope this is correct and helps :)

Answer:

c. (0,0)

Step-by-step explanation:

The midpoint between 9 and -9 is 0, because 9 to 0 is 9, and -9 to 0 is 9.

The midpoint between 12 and -12 is 0 as well, because 12 to 0 is 12, -12 to 0 is also 12.

Answer:

2

Step-by-step explanation:

Answer:

The line of the equation in the point-slope form of the line passing through the point (4, -2) and having slope 2 will be:

[tex]y+2=4(x-4)[/tex]

Please check the attached graph.

Step-by-step explanation:

Given

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

In our case:

m = 4

The point (x₁, y₁) = (4, -2)

substituting the values m = 4 and the point  (x₁, y₁) = (4, -2)  in the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - (-2) = 4(x-4)[/tex]

[tex]y+2=4(x-4)[/tex]

Thus, the line of the equation in the point-slope form of the line passing through the point (4, -2) and having slope 2 will be:

[tex]y+2=4(x-4)[/tex]

Please check the attached graph.

Answer:

x = 8

Step-by-step explanation:

Since C is the centroid, then

CP = [tex]\frac{1}{3}[/tex] JP , that is

2x + 4 = [tex]\frac{1}{3}[/tex] (8x - 4) ( multiply through by 4 to clear the fraction )

6x + 12 = 8x - 4 ( subtract 8x from both sides )

- 2x + 12 = - 4 ( subtract 12 from both sides )

- 2x = - 16 ( divide both sides by - 2 )

x = 8

Answer:

First, third, and fourth one would be the answers.

Answer:

x=2

Step-by-step explanation:

-2 + x = -x + 2

Isolate the variable

2x = 4

Simplify

x = 2

Answer:

x = 2

Step-by-step explanation:

you want to move the variables to one side, the numbers to the other side.

x = -x+4

then you move the other x

2x = 4

x = 2

Answer:

Marissa has $80

Step-by-step explanation:

are you sure its asking for Marissas money or Franks money? but its fine if its Marissa too

Christina: 100

Marissa: 20 less than her

So 100-20=80

And Marissa has $80

Just in case, heres how to find Franks money:

100-20=2x

subtract 20 from both sides

80=2x

divide by 2

40=x

And Frank has $40

First calculate (-8x-15)=120

Then multiply - 11x120

=-1320

Answer:

y=-1/4x+2

Step-by-step explanation:

y=mx+b

M=slope

B= y intercept

Answer:

C) SSS

Step-by-step explanation:

the 'tic' marks indicate which sides are congruent to each other

Answer:

4

Step-by-step explanation:

2/3 * 6

~Rewrite

2/3 * 6/1

~Multiply

12/3

~Simplify

4

Best of Luck!

Answer:

4

Step-by-step explanation:

Answer:30 and 7

Step-by-step explanation:

Answer:

The ratio is easy to find!

Ratios are:

42:54

42 to 54

42/53

Step-by-step explanation:

            May I have brainliest I'm trying to level up!

                        </3 PureBeauty

Answer:

    [tex]x=12 groups[/tex]

This will give 5 Students each in 12 different equally sized groups

    [tex]x'=5groups[/tex]

This also shows that students can grouped in equal groups of 12 in 5 places

Step-by-step explanation:

From the question we are told that

60 children in equal sized groups

Generally interpreting [tex]60\div 5[/tex] can be mathematically represented as

a)

    [tex]x=\frac{60}{5}[/tex]

    [tex]x=12 groups[/tex]

This will give 5 Students each in 12 different equally sized groups

b)

    [tex]x'=\frac{60}{12}[/tex]

    [tex]x'=5groups[/tex]

This also shows that students can grouped in equal groups of 12 in 5 places

Answer:

37/20

Step-by-step explanation:

1/1 -> 20/20

20/20 + 17/20

20 + 17 = 37

so 37/20

I'm pretty sure its 2r, because you are multiplying the number of red marbles by 2 to get how many blue marbles there are.

Answer:

14

Step-by-step explanation:

Answer:

[tex]y=9000(0.82)^{x}[/tex]

Step-by-step explanation:

General exponential growth/decline equation is given as

[tex]y=ab^{x}[/tex]

where a is initial value and b is growth/decline rate

Here a=9000 and b=18%=(1-0.18)=0.82

Answer:

984 feet

Step-by-step explanation:

From the above question

Scale =

1 cm = 24 feet

A model of the Eiffel Tower is 41 centimeters tall.

Hence, how tall the Eiffel Tower ja is calculated as:

1 cm =24 feet

41 cm = x

Cross Multiply

x × 1 cm = 41 cm × 24 feet

x = 41 cm × 24 feet/1 cm

x = 984 feet

Therefore, the Eiffel tower is 984 feet tall

Answer:

the second one

Step-by-step explanation:

the first one equals 30

the second equals 150

the third one equals 60

the fourth one equals 90

meaning that the second one is correct

Answer:

0.20 $

Step-by-step explanation:

65.62/324