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jeka57 [31]
3 years ago
10

The diameter of a circle has endpoints P(–7, –10) and Q(3, 2).

Mathematics
1 answer:
7nadin3 [17]3 years ago
4 0

Answer:

Step-by-step explanation:

Since we are given the endpoints of the circle, the midpoint between the two endpoints will be the center of the circle. The formula for determining midpoint of a line is

Midpoint = 1/2(x1 + x2), 1/2(y1 + y2)

= 1/2(- 7 + 3), 1/2(- 10 + 2)

= (- 2, - 4)

The radius of the circle is the distance from the center to the endpoint. To determine the radius of the circle, we would apply The formula for determining the distance between two points on a straight line is expressed as

Distance = √(x2 - x1)² + (y2 - y1)²

Therefore,

Radius = √(- 2 - - 7)² + (- 4 - - 10)²

Radius = √5² + 6² = √61

A circle is the set of all points in a plane equidistant from a fixed point called the origin or center.

The center of the circle is (- 6, - 8)

The formula for determining the equation of a circle us expressed as

(x - h)² + (y - k)² = r²

Where

r represents the radius of the circle

h and k represents the x and y coordinates of the center of the circle. Comparing with the given points,

h = - 2 and k = - 4

Radius, r = √61

Substituting into the formula, it becomes

(x - h)² + (y - k)² = r²

(x - - 2)² + (y - - 4)² = √61²

(x + 2)² + (y + 4)² = 61

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5 0
3 years ago
A triangle has one leg that measures 14 feet and the hypotenuse is 50 feet. What is the length of the other leg?
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Ok so we are using the Pythagorean theorem so were gonna do A^2 + B^2 = C^2

It don't say which leg we have so you can use either a or b.
Which would get us 14^2 + B^2 = 50^2
14*14 =196 , 50 *50 =2500
Then we have to  subtract the two.
So 2500 - 196 = 2,304
Then you take the take the square root of that answer and you have your other leg. 
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Answer:

1445.6 hours

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Step-by-step explanation:

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