All categories

3 years ago

What is the radius of a circle if its center is (-3,-2) and one point on the circle is (5,-2)?

Mathematics

1 answer:

Len [333]3 years ago

5 0

Answer:

Step-by-step explanation:

The distance from the centre to a point on the circle is the radius.

Calculate radius r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (5, - 2)

r = $\sqrt{(5+3)^2+(-2+2)^2}$

= $\sqrt{8^2+0^2}$

= $\sqrt{64}$ = 8 → A

You might be interested in

An angle that is greater then 90 degrees and less then 180degrees

salantis [7]

It would be an obtuse angle :)

4 0

3 years ago

Sergio is working on a research project involving the ages of students at Brooklyn College. After interviewing 500 students, he

Zinaida [17]

Answer:

The probability of of a randomly chosen student being exactly 21 years old.

= 1.293

Step-by-step explanation:

Step(i):-

Given Population size n = 500

Mean of the Population = 20 years and 6 months

= $20 + \frac{6}{12} = 20 +0.5 = 20.5 years$

Standard deviation of the Population = 2 years

Let 'X' be the range of ages of the students on campus follows a normal distribution

Let x =21

$Z = \frac{x-mean}{S.D}$

$Z = \frac{x-mean}{S.D} = \frac{21-20.6}{2} =0.2$

The probability of a randomly chosen student being exactly 21 years old.

P( Z≤21) = 0.5 + A( 0.2)

= 0.5 +0.793

= 1.293

6 0

3 years ago

Sarah wrote the expression 12 ÷ 3 = 4 to represent the number of flowers in each row of Mrs. White’s garden. What is the number

yuradex [85]

It's called the "dividend". A dividend is a number to be divided by another number. The 3 is the divisor, a number by which another number is to be divided.

7 0

2 years ago

How do you find the slope of x^2 at x = 5? please hurry

Lorico [155]

The slope of any function is its first derivative.

If f(x)=x^2, then f'(x)= 2x .

At x=5, slope = f'(x) = 2(5) = 10 .

5 0

3 years ago

2 - 2n = 3n + 17 solve n

Masja [62]

Answer:

n = -3

Step-by-step explanation:

2 - 2n = 3n + 17

-2 -2

-2n = 3n + 15

-3n -3n

-5n = 15

-5 -5

n = -3

Hope this helps you!!! :)

4 0

3 years ago