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3 years ago

Find the solution to the system of equations.

Mathematics

2 answers:

alexira [117]3 years ago

5 0

Given that y=y=y,

→ -2x+7 = 5x-7

Let's find the value,

→ -2x+7 = 5x-7

→ 7 = 5x+2x-7

→ 7 = 7x-7

→ 7+7=7x

→ 14 = 7x

→ x = 14/7

→ [x = 2]

Then we can find 7,

→ y = 5x-7

→ y = 5(2) -7 y = 10-7

→ [y = 3]

This is required answer.

harina [27]3 years ago

4 0

Answer:

x=2

y=3

Step-by-step explanation:

y=−2x+7

y=5x−7

Set the two equations equal since they are both equal to y

−2x+7 =5x−7

Add 2x to each side

-2x+7+2x = 5x-7+2x

7 = 7x-7

Add 7 to each side

7+7 = 7x-7+7

14 =7x

Divide by 7

14/7 = 7x/7

2 =x

Now find 7

y = 5x-7

y = 5(2) -7

y = 10-7

y = 3

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Sarah making a square pillow with edges that need to measure 8 inches long. She needs a strip of fabric four times as long as on

Galina-37 [17]

Answer:

The length of the strip of fabric is 32 inches.

Step-by-step explanation:

Consider the provided information.

The length of the edges of the square pillow should be 8 inches.

She needs a strip of fabric four times as long as one of the pillow to make a border around the pillow.

The length of the strip of fabric = 4×8 inches

The length of the strip of fabric = 32 inches

Hence, the length of the strip of fabric is 32 inches.

6 0

2 years ago

Find the slope of the line that passes through the following points. Write "undefined" if the slope is undefined.

Katyanochek1 [597]

The slope of the line that passes through the following points is undefined

Solution:

Given that, We have to find the slope of line passing through two points

Given points are (-1, 5) and (-1, 6)

The slope of line is given by formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

From given,

$(x_1, y_1) = (-1, 5)\\\\(x_2, y_2) = (-1, 6)$

Substituting the values we get,

$m = \frac{6-5}{-1-(-1)}\\\\m = \frac{1}{-1+1}\\\\m = \frac{1}{0}$

Thus the slope is undefined

5 0

3 years ago

The Fergusons want to install a new tile floor in their kitchen. The kitchen is in the shape of a rectangle and is 9 feet by 12

olga_2 [115]

Answer:

27 tiles

Step-by-step explanation:

First, find the total area of the kitchen.

Use the area formula, A = lw

A = lw

A = (9)(12)

A = 108

So, the area of the kitchen is 108 sq ft

Find the area of the square tiles, using the same formula:

A = lw

A = (2)(2)

A = 4

So, the area of one square tile is 4 sq ft

Find how many tiles they will need to buy by dividing the total area by the area of one tile:

108/4

= 27

So, they will need to buy 27 tiles

3 0

2 years ago

Read 2 more answers

What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2/3x+5

swat32

Let $k:y=m_1x+b_1$ and $l:y=m_2x+b_2$

$l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

We have $y=-\dfrac{2}{3}x+5\to _1=-\dfrac{2}{3}$

Therefore

$m_2=-\dfrac{1}{-\frac{2}{3}}=\dfrac{3}{2}$

We have the equation of a line: $y=\dfrac{3}{2}x+b$ .

Put the coordinates of the point (8, 1) to the equation of a line:

$1=\dfrac{3}{2}(8)+b$

$1=(3)(4)+b$

$1=12+b$ subtract 11 from both sides

$-11=b\to b=-11$

Answer: $\boxed{y=\dfrac{3}{2}x-11}$

3 0

3 years ago

The density of a apple juice

brilliants [131]

Answer:

1.04 grams per cm^3

The density of apple juice is 1.04 grams per cm^3.

Step-by-step explanation:

Your welcome<3

7 0

3 years ago