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2 years ago

6

Which of the following is a valid exclusion for the algebraic fraction:

1 answer:

erastova [34]2 years ago

4 0

We have the following expression:
(27a ^ 3-1) / (9a ^ 2-6a + 1)
Rewriting we have:
(27a ^ 3-1) / (9a ^ 2-6a + 1)
(27a ^ 3-1) / ((3a-1) * (3a-1))
We exclude the values that make the denominator zero:
3a-1 = 0
a = 1/3
Answer:
a valid exclusion for the algebraic fraction is:
c. a ≠ 1/3

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What is the slope of the line shown below?

Sophie [7]

Hi there!

$\large\boxed{slope = \frac{1}{5}}$

Use slope formula to solve for the slope of the line:

$slope = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Plug in points into the equation. We can use the points (0, -10) and (25, -5):

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Subtract (r - 3q + 5p) - (-4r - 3q - 8p)

Alex787 [66]

Answer: ok so Let's simplify step-by-step.

r−3q+5p−(−4r−3q−8p)

Distribute the Negative Sign:

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=r+−3q+5p+4r+3q+8p

Combine Like Terms:

=r+−3q+5p+4r+3q+8p

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Step-by-step explanation:

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Line segment YV of rectangle YVWX measures 24 units.

Anna [14]

Answer: 8√3

<u>Step-by-step explanation:</u>

ΔXVW is a 30°-60°-90° triangle. This special triangle has corresponding sides of lengths: b - b√3 - 2b. So,

VW = b

XW = b√3

XV = 2b

Since, YV = 24, then XW = 24 and we stated above that XW = b√3. So,

24 = b√3

$\frac{24}{\sqrt{3}} = \frac{b\sqrt{3}}{\sqrt{3}}$

$\frac{24}{\sqrt{3}}$ = b

$\frac{24}{\sqrt{3}}(\frac{\sqrt{3}}{\sqrt{3}})$ = b

$\frac{24\sqrt{3}}{3}$ = b

8√3 = b

We are looking for side YX which is congruent (equal) to VW and we stated above that VW = b, So, VW = 8√3

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2 years ago