All categories

3 years ago

The equation of a circle is (x−10)2+(y−8)2=256. What is the center of the circle? Enter your answer in the boxes.

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

6 0

Answer:

(10,8)

Step-by-step explanation:

The equation of a circle has the following form:

$(x-h)^2+(y-k)^2=r^2$ where (h,k) is the center of a circle with radius r.

Our equation is:

$(x-10)^2+(y-8)^2=256$

The center is (10,8).

You might be interested in

Please help asap!!!! 53 points!

AfilCa [17]

The easiest way is to graph it based upon the slope (m) and y-intercept (b), in the standard slope-intercept form: y = m (x) + b.
The line above intercepts the y-axis at y = -2, which is b. The slope (m) = rise/run = (y2-y1)/(x2-x1 ); so for the point (-4, 2) to (-6, 4) is:
(4-2)/(-6--4) = 2/(-6+4) = 2/-2 = -1.
So one form of the equation would be:
y = -1x - 2
Now the other form of an equation is point-slope: y-k = m (x-h), where the point is at (h, k)
and if we pick -5 for x (bc 5 it listed in 3 of the answers), the y at x=-5 looks like around +3
so we get: y-k = -1 (x--5)...
y-3 = -(x+5)... therefore D) is the correct answer:

8 0

4 years ago

Read 2 more answers

Help me please anybody. And I am in my school iPad

Debora [2.8K]

Answer:

(0,5)

Step-by-step explanation:

I'm really not sure but I'm pretty positive that this is the answer if not than my bad

8 0

2 years ago

It takes 12 hours for 7 men to paint a room.

dangina [55]

28 men are needed to paint the room in 3 hours

<h3><u>Solution:</u></h3>

Given that it takes 12 hours for 7 men to paint a room

We are asked to find number of men required to paint the room in 3 hours

Recognize, "paint the room" is 1 task. One job.

7 men -------- 12 hours ------ 1 job

(7/7) = 1 men ------- 12 x 7 (84) ------- same 1 job

The one men is rate is 84 hours to do the job

We can express this as 1/84 jobs per hour, the one-person rate

Now lets find how many men needed to paint the room in 3 hours

Let the required number of men for 3 hours be "a"

The rates of each person is simply additive.

$a \times \frac{1}{84} \times 3 = 1$

corresponds to rate x hours = jobs and "a" is a variable for how many men

$a \times \frac{1}{28} = 28$

Thus 28 men are needed to paint the room in 3 hours

4 0

3 years ago

Is 110,571 divisible by 3?

MAXImum [283]

Answer:

yes, it is.

Step-by-step explanation:

110,571 divided by 3 is 36857. So, since the answer is not a decimal or a fraction, 110,571 is divisable by 3

3 0

3 years ago

Please help me with this question.

Eduardwww [97]

Answer:

the answer is 11.5

Step-by-step explanation:

2x-9=14

2x = 23

x = 11.5

5 0

3 years ago

Read 2 more answers

The equation of a circle is ​ (x−10)2+(y−8)2=256. What is the center of the circle? Enter your answer in the boxes.

The equation of a circle is (x−10)2+(y−8)2=256. What is the center of the circle? Enter your answer in the boxes.