Write the equation of the line that passes through the points (4,7) and (8,6). Put

Mathematics

1 answer:

____ [38]3 years ago

8 0

Y=-1/4x+8

First find the slope

Slope= y-y1/x-x1

So (6-7)/(8-4) = -1/4

Now take that slope and use one of the points and plug them into the point slope formula to solve for your y intercept.

Point slope formula: y=mx+b

So 7=-1/4(4)+b OR 6=-1/4(8)+b

Either way you’ll get b=8!

Put em together and you get: y=-1/4x+8

Ps you can double check your answer by plugging in one or both of the points into your equation to see if it works :)

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Given: ∆ABC, m∠C = 90° CB = 8, m∠B = 38º Find the area of a circumscribed circle. Find the area of the inscribed circle.

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Circumscribed circle: Around 80.95

Inscribed circle: Around 3.298

Step-by-step explanation:

Since C is a right angle, when the circle is circumscribed it will be an inscribed angle with a corresponding arc length of 2*90=180 degrees. This means that AB is the diameter of the circle. Since the cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse:

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