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2 years ago

Is the given point interior, exterior, or on the circle (x + 2)2 + (y - 3)2 = 81? P(8, 4)

1 answer:

8 0

From the equation we see that the center of the circle is at (-2,3) and the radius is 9.

So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle...

d^2=(8--2)^2+(4-3)^2 and d^2=r^2=81 so

81=10^2+1^2

81=101 which is not true...

So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.

Thus the point lies outside or on the exterior of the circle...

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Round 60.6 nearest whole number

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60.6 to the nearest whole number is 61.

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3 years ago

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D. 64, because 8x16 is 128, and that divided by 2 is 64. ;)

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2 years ago

Jack and Jim went biking. Jack biked for 5 1/3 hours with average speed 12 1/2 miles per hour. Jim traveled exactly 1 1/5 as far

ahrayia [7]

Given that Jack biked for $5 \frac{1}{3}$ hours with an average speed of $12 \frac{1}{2}$ miles per hour.

The distance travelled by Jack is given by

$d=speed\times time \\ \\ =12 \frac{1}{2}\times5 \frac{1}{3}= \frac{25}{2} \times \frac{16}{3} \\ \\ = \frac{200}{3} =66 \frac{2}{3} \ miles$

Given that Jim travelled exactly $1 \frac{1}{5}$ as far as Jack did, then the distance Jim travelled is given by

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Therefore, the length of Jim's journey is 80 miles.

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2 years ago

The amount of money, in dollars, in a savings account after x years is given by M(x) = 10,000(1.03)x. What does the value 1.03 r

mr Goodwill [35]

Answer:

Option B) There is a 3 percent increase in the savings account each year.

Step-by-step explanation:

we have

$M(x)=10,000(1.03^x)$

This is a exponential function of the form

$y=a(b^x)$

where

M(x) represent the amount of money in a saving account

x represent the number of years

a is the original deposit (y-intercept)

b is the base

r is the rate or percent increase

$b=(1+r)$

The percent increase per year is the base of the exponential function decreased by 1.

$r=b-1$

In this problem we have

$a=\$10,000$ ---> original deposit

$b=1.03\\r=1.03-1=0.03=3\%$

Therefore

The percent increase per year is 3%

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3 years ago

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Answer:

the third choice

Step-by-step explanation:

I haven't done those questions in a long time so I would double check. But I think its choice C because 0 has two functions, and I'm pretty sure that a number can only have 1 output, therefore C is not a function..

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2 years ago