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2 years ago

It’s is already stated on the picture.

Mathematics

1 answer:

maxonik [38]2 years ago

8 0

Answer:

radius = 5

Step-by-step explanation:

Since the line is a tangent, that means the PT and OP are perpendicular (they make a right angle) Sooo, the triangle is a right triangle. Use Pythagorean Theorem to calculate or Pythagorean Triples for a shortcut (5, 12, 13)

r^2 + 12^2 = 13^2

r^2 + 144 = 169

Subtract 144

r^2 = 25

Squareroot both sides.

sqrt(r^2) = sqrt25

r = 5

The radius is 5.

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Answer:

y=-x+5

Step-by-step explanation:

first, let's find the slope of the line (m), using the equation (y2-y1)/(x2-x1)

here are the given points: (4,1) and (8,-3)

label the points:

x1=4

y1=1

x2=8

y2=-3

now substitute into the equation

m=(-3-1)/(8-4)

m=(-4)/4

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the slope of the line is -1.

Now, use slope-point form, which is y-y1=m(x-x1)

substitute the numbers into the equation

y-1=-1(x-4)

do distributive prop

y-1=-x+4

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Step-by-step explanation:

soln:

let,

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