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Eddi Din [679]
3 years ago
14

I need help with 2 plz help

Mathematics
1 answer:
Tatiana [17]3 years ago
7 0

Answer:

a=31.61

Step-by-step explanation:

Pythagorean theorem states that square hypotenuse side is equal to square opposite side plus  square adjacent side

Hyp²= Opp²+Adj²

the opposite is represented by a in the question, so

60²=a²+51²

3600=a²+2601

combine the like terms

3600-2601=a²

999=a²

a²=999

square root both sides to remove the square

√a²=√999 {square cancels the square root

a=√999

a=31.606

a=31.61 approximately


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Match the average rates of change of f(x) to the corresponding intervals.
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The average rates of change of f(x) and their corresponding intervals are given as:

Interval          Rate of Change

[-5, -1]                 -8

[-4, -1]                 -7

[-3, 1]                  -4

[-2, 1]                  -3.

<h3>What is the explanation for the above?
</h3>

Step 1 - See Table Attached

Step 2 - State the formula for rate of change

The formula for rate of change is given as:
= [change in f(x)] / [change in x]

a) For interval [5, -1] ⇒

Rate of Change - [ f(1) - f(-5) ] / [-1 - (-5)]  

= [-1 - 35] / [-1+5]

= -36 / 4

= - 8

b) For interval [-4, -1] ⇒

rate of change = [ f(-1) - f(-4) ] / [ -1 - (-4) ]

= [3 - 24] / [-1 + 4]

= -21/3

= - 7

c) interval [-3,1] ⇒

rate of change = [ f(1) - f(-3) ] / [ 1 - (-3) ]

= [-1 - 15] / [1 + 3]

= -16/4

= - 4

d) interval [-2,1] ⇒

rate of change = [f (1) - f(-2)] / [1 - (-2)]

= [ -1 - 8] / [1 + 2]

= -9/3

= -3

Learn more about rate of change at:
brainly.com/question/25184007
#SPJ1

Download xlsx
6 0
1 year ago
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