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finlep [7]
3 years ago
9

1. Find the coordinates of the center and the measure of the radius for a circle whose equation is

Mathematics
1 answer:
Kipish [7]3 years ago
5 0

Answer:

the center of this circle is (8, -4) and the radius is 2√3.

Step-by-step explanation:

Compare this equation

(x - 8) + (y + 4) = 12      Don't forget to type in the " ^ " symbol to indicate exponentiation.

(x - 8)^2 + (y + 4)^2 = 12

to the standard equation of a circle with center at (h, k) and radius r:

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

In this way we learn that h = 8, k = -4 and r^2 = 12 (or r = 2√3).

Then the center of this circle is (8, -4) and the radius is 2√3.

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ollegr [7]
The answer is 8 it should be
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3 years ago
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Zene deposited $50 in a savings account earning 5% interest, compounded annually. To thenearest cent, how much will he have in 3
JulsSmile [24]

Answer:

\$57.88  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=3\ years\\ P=\$50\\ r=5\%=5/100=0.05\\n=1  

substitute in the formula above

A=50(1+\frac{0.05}{1})^{1*3}  

A=50(1.05)^{3}  

A=\$57.88  

6 0
3 years ago
100 points!! Brainliest if correct!!
ladessa [460]

Answer:

4π(w+1)(w-1)

Step-by-step explanation:

The total surface area of the cylinder

= 2 x area of base circle + area of vertical surface

= 2x pi x radius^2 + 2x pi x radius x height

= 2π(w-1)^2 + 2π(w-1)(w+3)

= 2π[w^2-2w+1 + w^2+2w-3]

= 2π(2w^2-2)

= 4π(w^2 - 1)

= 4π(w+1)(w-1)

3 0
3 years ago
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Aaron and Belinda went swimming. Aaron swam 575 meters. This is 150 more meters than Belinda swam. Write and solve an addition e
creativ13 [48]

Answer:

Belinda swam 425 meters

Step-by-step explanation:

575=150+x

575-150=x+150-150

425=x

0 0
3 years ago
The ratio of the weight of wood to the weight of raw materials used by a factory is 16 : 56. How many tons of wood wouod the fac
Goshia [24]

Answer:

2 Tons Wood

Step-by-step explanation:

According To Question,

Given,the ratio of the weight of wood to the weight of raw materials used by a factory is 16 : 56 or 2 : 7 .

And, Factory were to use 7 tons of raw materials .

Thus, if 56 ⇒⇒ 7Tons of Raw Material

So,

16⇒⇒2 Tons of Wood Material .

7 0
3 years ago
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