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4 years ago

Factor 2yz + 8xy completely.

Mathematics

1 answer:

natta225 [31]4 years ago

8 0

You are able to factor out a 2y from both, so the factored form is
2y(z + 4x)

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Factor <img src="https://tex.z-dn.net/?f=15x%2B%2040" id="TexFormula1" title="15x+ 40" alt="15x+ 40" align="absmiddle" class="la

dlinn [17]

Answer:

The answer is 5(3x + 8)

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

$gcf = 5$

Factor out the GCF.

$5( \frac{15x}{5} + \frac{40}{5} )$

Simplify each term in parentheses.

$5(3x + 8)$

hence, the answer will be 5(3x + 8).

5 0

3 years ago

Read 2 more answers

At the Hip-Hop Shop each salesperson receives an 8.5% comission on sales. what would a salesperson earn if she sold $250 in good

Leokris [45]

Answer:

I believe the answer is 21.25

Step-by-step explanation:

8.5% of $250

5 0

3 years ago

Read 2 more answers

Use the substitution method to solve the system of equations. y = –4x 8x – y = 6 A.(2, –8)B. (1, –4) C.1/2-4 D.1/2-2

satela [25.4K]

y= -4x and 8x-y=6

what you do is switch the negative y to the other side and move the positive 6 to the other side thus making y=8x-6.

I don't get what those numbers are on the question but the way you solve it is by combining them and putting one y into the other

8x-6=-4x 12x=6 6/12=x .5=x

then you plug in x to find y in whichever equation:

-4x=y -4(.5)=y -2=y

so the final answer would be (.5,-2)

6 0

3 years ago

Read 2 more answers

10 POINTS

Svetradugi [14.3K]

Answer:

C, F, D

Step-by-step explanation:

For each side of each triangle, think of the side as the hypotenuse of a right triangle. Then use the Pythagorean theorem to find the length of the hypotenuse, which is the side of the triangle.

Left problem:

From point C to point A, go 2 left and 7 up.

$AC = \sqrt{2^2 + 7^2} = 7.3$

From point A to point B, go 5 right and 1 down.

$AB = \sqrt{5^2 + 1^2} = 5.1$

From point B to point C, go 6 down and 3 left.

$BC = \sqrt{6^2 + 3^2} = 6.7$

Perimeter = 7.3 + 5.1 + 6.7 = 19.1

Do the same for the other triangles.

Middle problem:

From point F to point D, go 2 left and 7 up.

$FD = \sqrt{2^2 + 7^2} = 7.3$

From point D to point E, go 7 right and 2 down.

$DE = \sqrt{7^2 + 2^2} = 7.3$

From point E to point F, go 5 down and 5 left.

$EF = \sqrt{5^2 + 5^2} = 7.1$

Perimeter = 7.3 + 7.3 + 7.1 = 21.7

Right problem:

From point L to point J, go 7 left and 1 up.

$LJ = \sqrt{7^2 + 1^2} = 7.1$

From point J to point K, go 4 up and 5 right.

$JK = \sqrt{4^2 + 5^2} = 6.4$

From point K to point L, go 2 right and 5 down.

$KL = \sqrt{2^2 + 5^2} = 5.4$

Perimeter = 7.1 + 6.4 + 5.4 = 18.9

4 0

3 years ago

Match each part of the expression with what it represents

Natasha2012 [34]

The monomial x would be the length of the sports banner.

-We know this because we typically use a basic variable for the thing that does not change. In this case, the length of the sports banner remains the same.

The second degree term in the expression would be the increase in area of the culture banner to make the sports banner.

-We can tell this because when we increase the width of the banner by 12, the resulting polynomial is 12x larger than x^2 (which was the original area of the culture banner.

The binomial expression x + 12 would be the width of the sports banner.

-Since we are increasing the width of the culture banner from x, x + 12 would represent the new width of the sports banner.

The first degree term in the expression would be the area of the culture banner.

-Because side of the culture banner is the same before the increase, multiplying x by itself will give you an area of x^2. This is the first degree term.

6 0

3 years ago