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3 years ago

I don't know how to do #86-#88. Any help?

Mathematics

1 answer:

SOVA2 [1]3 years ago

3 0

86 and 87 utilize the Pythagorean theorem. Where those tangent lines meet the circle forms a right angle. So you have a side length of 6 and a hypotenuse of 22. So the missing side length is 21.16. For 87, its the same thing, but you have the 2 legs but are missing the hypotenuse.

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What is a true statement about negative exponents?

Nadya [2.5K]

Answer:

Raising something to a negative exponent is just taking the reciprocal of the amount.

Step-by-step explanation:

Let's assume that you wanted to know what $x^{-2}$ is.

To find it, you would take the reciprocal of the x amount. So $x^{-2}$ becomes $\frac{1}{x^{2}}$ .

This works because of the nature of exponents. Exponents represent the number of times you are multiplying a value by itself. So $a^{3}$ would be equal to a · a · a. To increase the exponent, you increase the number of times the value is multiplied by itself: To increase $a^{3}$ to $a^{5}$ , you would have to multiply a with $a^{3}$ two more times (a · a · a · a · a). To decrease the exponent, you must divide the value by itself. So to decrease $a^{5}$ to $a^{2}$ , you would have to divide $a^{5}$ by a 3 times.

If the exponent is 0, the value is equal to 1. But you can still decrease the exponent into negative numbers. You just divide 1 by a the desired amount of times: $\frac{1}{a^{3}}$ means that you are dividing 1 by a 3 times.

Hope this helps.

3 0

3 years ago

camelback mountain has an elevation change of 1,264 feet. how many pennies would it take to make a stack that high ? show all wo

gtnhenbr [62]

Camel back Mountain = 15,168 inches (1,264 feet)

1 Penny = 0.061 (.0610) Inches

10 Penny = 0.61 (.610) Inches

100 Penny = 6.1 (6.10) Inches

1,000 Penny = 61 (61.0) Inches

10,000 Penny = 610 (610.0) Inches

<u>-SOLVING-</u>

10,000 Penny = 610 inches PLUS

1,000 Penny = 61 inches AND 61 inches x 5 = 305 (5,000 Penny)

100 Penny = 6.1 inches PLUS

10 Penny = 0.61 inches AND 0.61 inches x 6 = 3.66 (60 Penny)

1 Penny = 0.061 inches AND 0.061 inches x 8 = 0.488 (8 Penny)

-<u>FINAL ANSWER-</u>

610 + 305 + 6.1 + 3.66 + 0.488 = 925.248 Penny it would take.

3 0

2 years ago

The graph of an absolute value function opens down and has a vertex of (-3,0).

dsp73

I wrote the domain and range in interval notation, not sure if that’s how you’re asked to do it. This is how I was taught to state the domain/range of a graph.

3 0

3 years ago

Read 2 more answers

A computer repairs service charges $50 for diagnosis and $per hour for repairs. Write a linear function that models this situati

saw5 [17]

Answer:

Step-by-step explanation:

6 0

3 years ago

The area of a rectangle is 77ft and the length of the rectangle is 3ft more than double the width. Find the dimensions of the re

Radda [10]

Let b= length and a=width
Area= a*b and the problem said b=2a+3 (the length is 3ft more than double the width)
Replace b into Area formula:
Area= a*(2a+3) and we know that Area=77ft from the problem, so:
77=2a^2+3a now order and equal to zero:
2a^2+3a=77 now solve this with quadratic formula and you will get so values for a: -7ft and 5.5ft as you know the dimensions could not be negative so the correct answer for "a" side is 5.5ft, for getting the b side you haeve to replace a=5.5 into b=2a+3 and you will get b=2*5.5+3= 14ft.
Finished.

3 0

3 years ago