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3 years ago

Question 9 The triangles shown are

Mathematics

1 answer:

yaroslaw [1]3 years ago

6 0

Answer:

The triangles shown are proportional

Step-by-step explanation:

Two parallel lines are cut by a tranversal so the opposite and corresponding angles are congruent.

B = N

M = M

12 x 2 = 24 , So the sides of the triangle are proportional meaning they are parallel.

Side MN would be 12

Side MP would be 16

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Alexxandr [17]

Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

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torisob [31]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Given the function h(x)=-x^2-5x+14 determine the average rate of change of the function over the interval -9

Juli2301 [7.4K]

Answer:

The average rate of change of the function over the interval is of 6.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function h(x) over an interval [a,b] is given by:

$A = \frac{h(b)-h(a)}{b-a}$

In this question:

Over the interval [-9,-2], so $a = -9, b = -2, b - a = -2 -(-9) = 7$

The function is:

$h(x) = -x^2 - 5x + 14$

$h(-9) = -9^2 -5(-9) + 14 = -81 + 45 + 14 = -22$

$h(-2) = -2^2 -5(-2) + 14 = -4 + 10 + 14 = 20$

Then

$A = \frac{h(-2)-h(-9)}{7} = \frac{20-(-22)}{7} = \frac{42}{7} = 6$

The average rate of change of the function over the interval is of 6.

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3 years ago