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Maru [420]
4 years ago
12

What is the equation of a circle with center (-4,7) radius 3?

Mathematics
2 answers:
miv72 [106K]4 years ago
7 0

Answer:

a. (x + 4)² + (y – 7)² = 3²

Step-by-step explanation:

General equation for a circle is:

(x – h)² + (y – k)² = r²

h and k are the center (h, k), and r is the radius.

They want a center of (-4, 7) so h=-4 and k=7

They want a radius of 3 so r=3

plug it into the equation.

(x – h)² + (y – k)² = r²

(x – (-4))² + (y – (7))² = (3)²

(x + 4)² + (y – 7)² = 3²

GuDViN [60]4 years ago
7 0

Answer: (  x + 4 )² + ( y - 7 )² = 3²

Step-by-step explanation:

Formula for the equation of a circle centre  (a, b), radius r

 = ( x - a )² + ( y - b )² = r²--------------------------------------------------------1

 a = -4 and b = 7 while r = 3

Therefore substitute for a , b and r  in the equation 1 above to get the equation of the circle.

 ( x - (-4 ) )² + ( y - 7 )² = 3²

open the brackets through direct or indirect methods gives

( x + 4 )² + ( y - 7 )² = 9

x² + 8x + 16 + y² - 14y + 49 = 9

x² + y² + 8x - 14y + 16 + 49 - 9 = 0

x² + y² + 8x - 14 y + 116 = 0

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"However" expresses disappointment of what is mentioned in the previous paragraph to that of now.

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3 0
2 years ago
(-4,r) (-8,3) m=5 Find r please!
viva [34]

Answer:

r = 23

Step-by-step explanation:

m = (y2 - y1)/(x2 - x1)

5 = (3 - r)/(-8 - (-4))

5 = (3 - r)/(-8 + 4)

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4 0
3 years ago
A line’s equation is given in point-slope form:
navik [9.2K]

we conclude that the point on this line that is apparent from the given equation is (-6, 6)

<h3>Which point is on the line, only by looking at the equation?</h3>

Remember that a general linear equation in slope-intercept form is:

y = a*x + b

Where a is the slope.

Here we have the linear equation:

y - 6= (-23)*(x + 6)

Now, for a linear equation with a slope a and a point (h, k), the point slope form of the linear equation is:

(y - k) = a*(x - h)

Now we can compare that general form with our equation, we will get:

(y - k) = a*(x - h)

(y - 6) = (-23)*(x + 6)

Then we have: k  = 6 and h = -6.

Thus, we conclude that the point on this line that is apparent from the given equation is (-6, 6).

If you want to learn more about linear equations:

brainly.com/question/1884491

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4 0
2 years ago
Bus A and Bus B leave the the bus depot at 2 pm.
Tanya [424]

Answer:

3:15 pm

Step-by-step explanation:

You can imagine that they go in a circle (we can do whatever we want in theoretical math and physics). By doing so we know we can obtain a cosinusoidal wave by projecting the motion on a plane. Each one of the buses has a period (minimum time after what they're in the same point again). For the first one it's 15 minutes, for the second one it's 20 minutes. We have to take the least common multiple of the periods, that is 75 minutes. So They'll meet every 75 minutes. Add 75 minutes (1h and 15 minutes) to 2pm and there you go.

6 0
2 years ago
Select the correct answer.
Genrish500 [490]
B 16 miles an hour

Hope this helps
3 0
2 years ago
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