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NeX [460]
3 years ago
10

What is the radius of the circle with this equation of (x-5)2+(y+7)2=8

Mathematics
1 answer:
AysviL [449]3 years ago
3 0

Answer:

2√2

Step-by-step explanation:

compare this equation with the standard equation of a circle centered at (h, k) with radius r:

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

(x - 5)^2 + (y + 7)^2=8

Clearly, r^2 = (radius)^2 = 8, and so the radius, r, is √8, or 2√2

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The sum of 32,476 and a number P is divided by 381, the quotient is 100 and remainder is zero. Find the number P.
Misha Larkins [42]

Answer:

p = 5,624

Step-by-step explanation:

(32,476 + p) / 381 = 100

multiply both sides by 381

32,476 + p = 38,100

Subtract 32476 from both sides

p = 5,624

6 0
3 years ago
*
spayn [35]

Answer:

1) y= -.5

2)y= 7

3)x= -2

4 0
3 years ago
Write 4x + y = 1 as a slope intercept form
Rainbow [258]
Y=4x−1
Explanation:
The equation of a line in
slope-intercept form
is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
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+
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∣
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−−−−−−−−−−−−−−−

where m represents the slope and b, the y-intercept.
Rearrange
4
x
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y
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1
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subtract 4x from both sides.
4
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4
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y
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4
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multiply through by -1
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3 0
3 years ago
HEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPP
Nezavi [6.7K]
The answer is 5/4 ....so go for that !!! C
5 0
3 years ago
Approximate the change in the volume of a sphere when its radius changes from r= 5ft to r= 5.1ft (v(r)= 3/4 pi r^3)?
leva [86]

Answer:

18.03 cubic feet

Step-by-step explanation:

Hello,

Step 1

find the volume of the sphere when radius= 5 ft

v(r)= \frac{3}{4} \pi r^3\\v(5)= \frac{3}{4}\pi (5\ ft)^3\\v(5)= \frac{3}{4}\pi *125\ ft^{3} \\v(5)=294.52\ cubic\ feet\\

Step 2

find the volume of the sphere when radius= 5.1 ft

v(r)= \frac{3}{4}\pi r^3\\v(5.1)= \frac{3}{4} \pi (5.1\ ft)^3\\v(5.1)= \frac{3}{4}\pi *132.651\ ft^{3} \\v(5.1)=312.551\ cubic\ feet\\\\

Step 3

Compare the Volumes to find the change

\frac{v(r_{2})}{v(r_{1})} =\frac{312.551}{294.52} =1.06

the volumen of the sphere with radius = 5.1 is 1.06 times bigger than the first one(r=5)

Now, find the change

change= {v(r_{2})-{v(r_{1})}} \\change=312.551\ cubic\ feet\ -294.52 cubic feet \\ change=18.031\ cubic\ feet

change=18.03 cubic feet

Have a great day.

4 0
3 years ago
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