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3 years ago

Fully factorize the following expression: ax + ay - az

Mathematics

1 answer:

labwork [276]3 years ago

8 0

Answer:

a(x+y+z)

Step-by-step explanation:

Since there is an "A" in each term we can divide "A" in all the terms to get a(x+y+z).

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COLOR THEME

Lelu [443]

Answer:

the correct answer is A. Because it shows the equal qualifient of the answer

4 0

3 years ago

Which expression is equivalent to (81x4y16)12 for all positive values of x and y?<br> 40.5x4y16

IrinaVladis [17]

Answer:

$(81x^4y^{16})^{\frac{1}{2}} = 9 x^2 y^8$

Step-by-step explanation:

Given

$(81x^4y^{16})^{\frac{1}{2}}$

Required

Determine an equivalent expression

Express 81 as $9^2$

$(9^2x^4y^{16})^{\frac{1}{2}}$

Apply law of indices

$9^2^{\frac{1}{2}} * x^4^{\frac{1}{2}} * y^{16}^{\frac{1}{2}}$

$9^{\frac{2*1}{2}} * x^{\frac{4*1}{2}} * y^{\frac{16*1}{2}}$

$9^{\frac{2}{2}} * x^{\frac{4}{2}} * y^{\frac{16}{2}}$

$9^1 * x^2 * y^8$

$9 * x^2 * y^8$

$9 x^2 y^8$

Hence:

$(81x^4y^{16})^{\frac{1}{2}} = 9 x^2 y^8$

4 0

3 years ago

Emilia solved this inequality as shown:

xxTIMURxx [149]

Answer:

Subtractionproperty of inequality.

Step-by-step explanation:

8 0

3 years ago

Please help me!!!!!!!!

liberstina [14]

The slope of the line between the points On the line would be -1. And the y intercept would be 1.

Y = -x + 1.

3 0

3 years ago

There are 257 people at a dance performance. Orchestra seats cost $12 and balcony seats cost $8. The total receipts were $2,716.

solniwko [45]

x = # of balcony seats

y = # of orchestra seats

We have to create a system of equations to solve this problem

x + y = 256

$8x + $12y = $2,716

We will solve this system of equations by elimination.

Multiply the first equation by -8

-8x - 8y = -2048

8x + 12y = 2716

Let's add the equations together

0 + 4y = 668

Simplify the left side

4y = 668

Divide both sides by 4

y = 167

We can subtract 167 from 257 to get the number of balcony seats.

257 - 167 = 90 balcony seats

There are 167 orchestra seats and 90 balcony seats

5 0

3 years ago