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2 years ago

Write an equation of the circle with center (-5,2) and diameter 6.

Mathematics

1 answer:

Dmitriy789 [7]2 years ago

5 0

Answer:

$(x+5)^2+(y-2)^2=36$

Step-by-step explanation:

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center and $r$ is the radius, thus:

$(x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-2)^2=6^2\\(x+5)^2+(y-2)^2=36$

This means that our equation for the given circle is $(x+5)^2+(y-2)^2=36$

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Please help!!!!!! I’ll mark Brainlyist!!!!!

Butoxors [25]

Answer:

its 55

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC

marta [7]

Answer:

C. $B(x,y) = \left(3,-\frac{16}{3} \right)$

Step-by-step explanation:

Let $A(x,y) = (6,-7)$ , $B(x,y) = (x,y)$ and $C(x,y) = (-3,-2)$ . From statement we know that $AB = \frac{1}{2}\cdot BC$ , which is equivalent to the following linear algebraic formula:

$B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)]$ (1)

$B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)$

$\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)$

$B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y)$ (2)

Then, the coordinates of point B on AC are:

$B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)$

$B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)$

$B(x,y) = \left(3,-\frac{16}{3} \right)$

Which means that correct answer is C.

5 0

3 years ago

The average speed of a car during 5 hours is 50 miles per hour. What is the total distance traveled by the car?

Paraphin [41]

Answer:

250 miles

Step-by-step explanation:

So we know that the time (t) equals 5 hours and that the rate (r) equals 50 mph. So knowing that, we can use the formula t*r=distance. We plug in the numbers and we get 250 miles.

Another way to think about this is, since we go 5 hours and 50 miles per hour, every hour we go 50 miles and we do that for 5 hours, so we go 50, 100, 150, 200, 250.

6 0

2 years ago

What is the sum of (8a+2b-4) and (3b-5)

Yuki888 [10]

Answer:

8a+5b-9

Step-by-step explanation:

(8a+2b-4)+(3b-5)

8a+2b+3b-4-5

8a+5b-9

7 0

2 years ago

=<br> Graph the solution to the inequality on the number line.<br> |y8|≤2

WINSTONCH [101]

The solution of the absolute inequality |y + 8| ≤ 2 is -10 ≤ y ≤ -6

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Given the equation:

|y + 8| ≤ 2

Hence:

y + 8 ≤ 2; and -(y + 8) ≤ 2

y ≤ -6 and y ≥ -10

The solution of the absolute inequality |y + 8| ≤ 2 is -10 ≤ y ≤ -6

Find out more on equation at: brainly.com/question/2972832

#SPJ1

5 0

1 year ago