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iragen [17]
3 years ago
7

A circle is centered at the point (5,-4) and passes through (-3,2). The equation of this circle is (x+___)²+(y+___)²=____.

Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0
The equation of a circle is:
 (x-h)^2 + (y-k)^2 = r^2
 where (h,k) is the location of the center and r is the radius.  So we need to find h, k, and r.  The center is given as (5,-4) so h = 5 and k = -4:
 (x-5)^2 + (y-(-4))^2 = r^2
 (x-5)^2 + (y+4)^2 = r^2
 So we need to find r.  Use the distance formula to find the distance between (5,-4) and (-3,2):
 r = [(5-(-3))^2+((-4)-2)^2]^1/2
 r = [8^2 + (-6)^2]^1/2
 r = [64 + 36]^1/2
 r = 100^1/2
 r= 10
 The final equation is:
 (x-5)^2 + (y+4)^2 = 10^2
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Kameron's unicycle wheel has a spoke length of 16 inches.
Alexeev081 [22]

Answer:

301.44 inches

Step-by-step explanation:

The spoke is from the center of the wheel to the edge, so its length is the radius, or 16 inches.

You want to find the distance that one rotation will take you, so you need the wheel's circumference.

Circumference = 2πr

2 x 3.14 x 16 = 100.48

100.48 inches is the distance of only 1 full rotation, so you just need to multiply 100.48 by 3 to get the distance of 3 rotations.

100.48 x 3 = 301.44

3 0
3 years ago
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
GrogVix [38]

Answer:

87.96 {m}^{2}

Step-by-step explanation:

area=2πrh \\ =2·π·7·2 \\ ≈87.96459 {m}^{2}

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em>

<em>brainliest</em><em> </em><em>appreciated</em>

<em>good</em><em> </em><em>luck</em><em>!</em><em> </em><em>have</em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>!</em>

5 0
3 years ago
What is 100:25 in lowest terms
Ray Of Light [21]

4: 1 because you could divide both sides of the ratio by 25

5 0
3 years ago
a small town has about 8000. a random sample of 100 people finds out that 50 are in favor of renovating some of the towns rundow
hodyreva [135]

Answer:

4000

Step-by-step explanation:

Out of their sample half of the people are in favor meaning that half of the total are also in favor and half of 8000 is 4000

I hope this helps and please don't hesitate to ask if there is anything still unclear!

3 0
2 years ago
If y=8 when x=4 find y when x=5
djyliett [7]

Answer:

y = 10 when x = 5

Step-by-step explanation:

When x = 4, y = 8

Simplify. Divide 4 from both x and y

x = 4/4 = 1

y = 8/4 = 2

when x = 1, y = 2

Next, solve for when x = 5. Mutliply 5 to both x and y

x = 1 * 5 = 5

y = 2 * 5 = 10

y = 10 when x = 5

~

7 0
3 years ago
Read 2 more answers
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