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Levart [38]
2 years ago
8

This is factoring quadratics with a leading coefficient: 5p to the 2 power - 52p + 20

Mathematics
1 answer:
Mashutka [201]2 years ago
4 0

Answer:

(-5p + 2)(-p + 10)

Step-by-step explanation:

5p^{2}-52p + 20

(-5p + 2)(-p + 10)

You can double check this by using the distributive property..

-5p * -p = -5p^2

2*-p = -2p

10*-5p = -50p

10*2 = 20

-5p^2 + -2p + -50p + 20

Now we combine like terms and simplify

-5p^2 -52p + 20

So, we are correct

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2 years ago
Note that WXYZ has vertices W(-1, 2), X(-5, 7), y(-1, -2), and Z (3, -7).
svp [43]

a. Slope of WZ = -2.25; Slope of WX = 5

b. WZ = √97; WX = √41

c. WXYZ is not a <em>rectangle, rhombus, nor a square</em>. We can conclude that: <em>D. WXYZ is none of these</em>.

<h3>Slope of a Segment</h3>

Slope = change in y/change in x

Given:

W(-1, 2), X(-5, 7), Y(-1, -2), and Z (3, -7)

a. Slope of WZ and slope of WX:

Slope of WZ = (-7 - 2)/(3 -(-1)) = -2.25

Slope of WX = (7 - 2)/(-1 -(-1)) = 5

b. Use distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to find WZ and WX:

WZ = \sqrt{(3 - (-1))^2 + (-7 - 2)^2}\\\\\mathbf{WZ = \sqrt{97} }

WX = \sqrt{(-5 -(-1))^2 + (7 - 2)^2}\\\\\mathbf{WX = \sqrt{41} }

c. The quadrilateral WXYZ have adjacent sides that are not perpendicular to each other and have different slopes and different lengths, so therefore, WXYZ is not a rectangle, rhombus, nor a square. We can conclude that: <em>D. WXYZ is none of these</em>.

Learn more about slopes on:

brainly.com/question/3493733

5 0
2 years ago
What is the equivalent decimal to this fraction? 10/45 0.2 0.222222222... 0.232323232323... 0.181818181818...​
Ivan

Factorize the numerator and denominator, then simplify:

10/45 = (2×5)/(9×5) = 2/9

Now,

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1/9 = 1/10 + 1/100 + 1/1000 + …

or

1/9 = 0.111…

so that multiplying both sides by 2 gives

2/9 = 0.222…

5 0
1 year ago
Two Pounds of grapes cost six dollars complete the table showing the price of different amounts of grapes at this rate.
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Answer:

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Step-by-step explanation:

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2 years ago
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Answer:

I think it is -2

Step-by-step explanation:

I think but I do not know

6 0
3 years ago
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