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beks73 [17]
4 years ago
9

Find a relationship between x and y such that (x, y) is equidistant from the two points: (2, 6), (7, −8)

Mathematics
1 answer:
Ede4ka [16]4 years ago
7 0
Hello,

1) Finding the slope of the line passing throught the 2 points:

m=(-8-6)/(7-2)=-14/5.
A perpendicular line has a slope of -1/m=5/14

So the line searched has for equation:

y+1=(x-2)*5/14
or 10x-28y+73=0

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Write the standard equation of the circle with center (– 10, –3) that passes through the point (-3,3).
Sphinxa [80]

Answer:

(x+10)^2 + (y+3)^2 = 85

Step-by-step explanation:

Equation of a circle:

The standard equation of a circle with center (x_0,y_0) is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

In which r is the radius.

Center (– 10, –3)

This means that x_0 = -10, y_0 = -3. So

(x - x_0)^2 + (y - y_0)^2 = r^2

(x - (-10))^2 + (y - (-3))^2 = r^2

(x+10)^2 + (y+3)^2 = r^2

Passes through the point (-3,3).

This means that we use x = -3, y = 3 to find the radius squared. So

(x+10)^2 + (y+3)^2 = r^2

(-3+10)^2 + (3+3)^2 = r^2

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r^2 = 85

The equation of the circle is:

(x+10)^2 + (y+3)^2 = r^2

(x+10)^2 + (y+3)^2 = 85

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3 years ago
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