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kondor19780726 [428]
4 years ago
11

Determine the slope of the line shown.

Mathematics
1 answer:
marin [14]4 years ago
7 0
Pick 2 points off ur line...it is easier if u pick whole number points

(2,0) and (0,5)
slope formula = (y2 - y1) / (x2 - x1)
now label ur points
(2,0)...x1 = 2 and y1 = 0
(0,5)...x2 = 0 and y2 = 5
now sub and find the slope
slope(m) = (5 - 0) / (0 - 2) = -5/2 <====
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y=(x+6)^5+3

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To factor the quadratic expression x^2−8x−10 by completing the square, what value would be added? A. 64 B. 8 C. 16 D.-16
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Answer:

C

Step-by-step explanation:

When completing the square, we essentially want to create a perfect square trinomial by adding a constant.

If we have the following expression:

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Thus, the added term should be:

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The value we would add would be 16.

The answer is C.

Further notes:

To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:

(x^2-8x)-10\\=(x^2-8x+16)-10-16\\

The expression inside the parentheses is now a perfect square trinomial. Factor it:

=((x)^2-2(4)(x)+(4)^2)-26\\=(x-4)^2-26

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3 years ago
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Therefore, the volume of soup in the can is 122.5\pi cm^{3}

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4 years ago
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