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dimaraw [331]
3 years ago
12

Which equation is an equation of a circle with a radius of 3 and it’s center is at (5,-2)?

Mathematics
1 answer:
storchak [24]3 years ago
5 0

\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{5}{ h},\stackrel{-2}{ k})\qquad \qquad radius=\stackrel{3}{ r}\\[1em] [x-5]^2+[y-(-2)]^2=3^2\implies (x-5)^2+(y+2)^2=9

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HELP! IM STUCK!
Readme [11.4K]

Answer:

(x-1)^2+(y+4)^2=9

Step-by-step explanation:

The equation of a circle is given by:

(x-h)^2+(y-k)^2=r^2

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

The center of the circle is (1, -4).

And the radius is 3.

Substitute:

(x-(1))^2+(y-(-4))^2=(3)^2

Simplify. Thus, our equation is:

(x-1)^2+(y+4)^2=9

3 0
3 years ago
Shelly is 3 years older than Michele. Four years ago the sum of their age was 67. Find the age of each person.
lawyer [7]

total of ages now is 67 + 4 + 4 = 75

S=shelly

M= Michelle

Michelle is 3 yrs younger than Shelly so use S-3

S +M = 75

replace M with S-3 to get:

S +S-3=75

2S=78

s=39

So shelly is 39

Michelle is 3 years younger = 39-3 = 36


4 0
3 years ago
Read 2 more answers
A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in standard form best describes the total volume of t
forsale [732]
V = π r² h
V= π (4x+2)² (5x+4)
V = π (4x+2)(4x+2)(5x+4)
V = π (16x²+16x+4)(5x+4)
V= π(80x³+144x²+84x+16)
V= 251.33x³ +452.39x²+263.89x+50.27
4 0
3 years ago
Solve for m. m=-(4+m)+2
pishuonlain [190]

Answer:

m= -1

Step-by-step explanation:

Order summands

2

Apply negation to the value inside parentheses

3

Add the numbers

4

Add 

mm

 to both sides of the equation

5

Simplify

3 0
3 years ago
Read 2 more answers
Combine the like terms to create an equivalent expression:<br> 3 + 2 + (52) + 6
devlian [24]
It would be -2z+8. Because 3z+-5 is -2 and 2+6 is 8.
3 0
3 years ago
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