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Anestetic [448]
3 years ago
14

Find the midpoint of the segment with the following endpoints. (8,4) and (2,7)

Mathematics
1 answer:
Fudgin [204]3 years ago
4 0

Answer:

Step-by-step explanation:

Use the midpoint formula: \frac{ChangeInX}{2} ,\frac{ChangeInY}{2}

So, the Change In X is 2-8 = -6

And the Change in Y is 7-4 = 3

Once you divide both of the changes by 2, you get

X: -3

Y:  \frac{3}{2}

So the midpoint is: (-3,\frac{3}{2})

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2 years ago
Rewrite in simplest terms: 9(-9f-2)-9(5f+10)
Deffense [45]

Answer:-126f-108

Step-by-step explanation:

9(-9f - 2)-9(5f +10)

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which give you the answer -126f - 108

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3 years ago
Help me fast times-a-ticking
d1i1m1o1n [39]

No, because it has a constant rate of change

By looking at this table

The y value changes at a constant multiple of 2

6  4

7  2 (4-2 is a difference of 2)

8  0 (2-0 is a difference of 2)

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8 0
3 years ago
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3 years ago
For the function P(x) = x3 − 9x, at the point (2, −10), find the following. (a) the slope of the tangent to the curve (b) the in
Shalnov [3]

Answer:

3, in both a), b)

Step-by-step explanation:

a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.

Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is p'(x)=3x^2-9. In particular, the value we are looking for is p'(2)=3(2^2)-9=12-9=3.

If you would like to compute the equation of the tangent line, we can use the point-slope equation to get y=3(x-2)-10=3x-16

b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to p'(2)=3.

4 0
3 years ago
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