Point P(1,7) is located on circle C. The center of circle C is (−2,3). What is the radius of the circle?

Mathematics

1 answer:

Mumz [18]1 year ago

4 0

Answer: 5

Step-by-step explanation:

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A stick 43 inches long is broken into two pieces, so that one piece is twice as long as the other. How long are the two pieces?

allsm [11]

Answer:

One piece is $\frac{43}{3}$ inches and another piece is $\frac{86}{3}$ inches

Step-by-step explanation:

Let smaller piece length be $s$

Let larger piece length be $l$

Since total of two pieces is 43, we can write:

$s+l=43$

Also, one piece is twice as long as the other (so longer piece is definitely twice as the short piece), we can write:

$l=2s$

<em>Substituting equation 2 into equation one, we can solve for s:</em>

$s+l=43\\s+(2s)=43\\3s=43\\s=\frac{43}{3}$

<em>Thus longer piece is:</em>

$l=2s=2(\frac{43}{3})=\frac{86}{3}$

3 0

2 years ago

Paul is 20 years old. He is four times older than his sister.

attashe74 [19]

Answer: Paul will be 30 years old

Step-by-step explanation:Let the age of her sister be x, then from the given data

=> 4x = 20

=> x = 5 years

The age of her sister is 5 years

In the second case, paul is twice as old as his sister

=> Age of paul = 2(x)

=> Age of paul = 10 years

Paul will be 10 years old when he is twice as old as his sister

3 0

11 months ago

Read 2 more answers

Which ordered pairs are solutions to the inequality 2x + y > 8 ? Choose all answers that are correct.

gtnhenbr [62]

Hi again!

2x + y > 8

The correct answer is option D
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Honestly I don't think we can solve the equation to find the answer. What we can do is to find the boundary line. (I think you know what that is) After that, shading the appropriate area.

y > -2x + 8

Again, credit to my beautiful graphing calculator. Here is how it looks like.