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2 years ago

What is the solution to the system of equations graphed below?

Mathematics

1 answer:

sweet [91]2 years ago

5 0

Answer:

$\text{B. }(2, -3)$

Step-by-step explanation:

$\begin{cases}y=2x-7,\\y=-x-1\end$

Since $y=y$ :

$2x-7=-x-1,\\3x=6,\\x=2$

Solving for $y$ :

$y=2(2)-7=4-7=-3$

Verify that the point of intersection occurs at $\boxed{(2, -3)}\checkmark$

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Can somebody help me ?? please .

solniwko [45]

Answer: First let’s find x.

A straight line adds up to 180 degrees. So wen know that X and the 81 degree angle should add up to 180, so x+81=180 is our equation. Let’s solve.

Subtract 81 from 180

You get x=99 degrees.

Let’s now find Y.

We know because of the alternate interior angles property that x will have to equal 3y-9. We already know x is 99. Let’s set up an equation. 3y-9=99 let’s add our 9. We get 108. Divide by 3. We get y=36.

Step-by-step explanation:

PLEASE ASK ANY FURTHER QUESTIONS IF YOU STILL DONT UNDERSTAND :)

6 0

3 years ago

Read 2 more answers

The sixth grade art students are making a mosaic using tiles in shapes of right triangles. Each tiles has the leg measures of 5.

Drupady [299]

Given:

Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.

There are 150 tiles in the mosaic.

To find:

The area of the mosaic.

Solution:

We know that, the area of a triangle is:

$A=\dfrac{1}{2}\times Base\times height$

So, the area of Each right triangular tile is:

$A=\dfrac{1}{2}\times 5.2\times 6$

$A=\dfrac{1}{2}\times 31.2$

$A=15.6$

There are 150 tiles in the mosaic. So, the area of the mosaic is:

$Area=15.6\times 150$

$Area=2340$

Therefore, the total area of the mosaic is 2340 cm ².

5 0

3 years ago

Plz help me on dis math

vlabodo [156]

The first answer is B: 2 1/2

4 5/6 is put there twice except the last one is subtracting so you can put, 4 5/6 - 4 5/6 = 0 therefore the only number left is 2 1/2

the second one I really don't know sorry:(

The third answer is C because the cases come in 24. But they didn't tell you how many case she brought so the variable has to be by 24 and they took 43 which is the subtracting factor. So the answer is C.

And I also don't know the last one again sorry:(

8 0

3 years ago

Calculate the slope of a line that passes through the points (-4,7) and (-1,3)

zmey [24]

Answer:

The answer is

$- \frac{4}{3} \\$

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4,7) and (-1,3)

We have

$m = \frac{3 - 7}{ - 1 - - 4} = \frac{ - 4}{ - 1 + 4} = - \frac{4}{3} \\$

We have the final answer as

$- \frac{4}{3} \\$

Hope this helps you

4 0

3 years ago

I need help. Someone please help. The second and third picture are to the same problem. Just please help me I'm dumb.

kirill115 [55]

By listing the samples in descending order we have - Sample B, Sample E, Sample A, Sample C, and Sample D.

Step-by-step explanation:

Step 1; First, we must convert all the temperatures into a common scale. The given temperatures are in three different units i.e. °C, K, and °F. Here we convert all the units into K.

To convert °C to K, we add 273.15 with the °C , 44 °C= 44 + 273.15 = 317.15 K.

To convert °F, we have the formula (112°F − 32) × ( $\frac{5}{9}$ ) + 273.15, so

110 °F = (110 - 32) × ( $\frac{5}{9}$ ) + 273.15 = 316.483 K,

112 °F = (112 - 32) × ( $\frac{5}{9}$ ) + 273.15 = 317.594 K.

Step 2; By rewriting all the values on the same unit, we get;

Sample A = 317.15 K,

Sample B = 320 K,

Sample C = 316.483 K,

Sample D = 310 K,

Sample E = 317.594.

The descending order is as follows 320 K, 317.594K, 317.15 K, 316.483 K and 310 K which is Sample B, Sample E, Sample A, Sample C, and Sample D.

5 0

3 years ago