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Bond [772]
3 years ago
13

Which expression is equivalent to the given expression?

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
4 0

Answer:

Step-by-step explanation:

20cd^-1

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What is the equation of the circle with center (1, −1) that passes through the point (5, 7)?
kykrilka [37]

Answer:

Option C (x-1)^2+(y+1)^2=80

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance from the center of the circle to any point on the circumference of the circle is equal to the radius of the circle

we have

(1,-1) and (5,7)

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute the values

d=\sqrt{(7+1)^{2}+(5-1)^{2}}

d=\sqrt{(8)^{2}+(4)^{2}}

d=\sqrt{80}\ units

step 2

Find the equation of the circle in center radius form

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

where

(h,k) is the center

r is the radius

substitute

(x-1)^2+(y+1)^2=(\sqrt{80})^2

(x-1)^2+(y+1)^2=80

3 0
3 years ago
Water flows through a hose and fills a 100-gallon tank in eight minutes. When represented as a rate, in gallons per minute, what
sergiy2304 [10]

Answer:

0.08.

Step-by-step explanation:

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