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azamat
3 years ago
12

What is the y - intercept of a line that has a slope of 1/4 and passes through point (8, 3)

Mathematics
1 answer:
creativ13 [48]3 years ago
7 0

Substitute the point coordinates into the point slope formula: y-y_1=m(x-x_1). Substitute the slope 1/4 for m, 3 for y_1, and 8 for x_1.

y-3=1/4(x-8), distribute 1/4 inside the parentheses.

y-3=1/4x-2, add 3 to both sides.

y=1/4x+1; the slope-intercept form of a line is y = mx + b, where b is the y-intercept, so in this line the y-intercept is A. 1.

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3 years ago
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Step-by-step explanation:

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3 years ago
If r = 3.2, what is the area of the shaded region? Round your answer to the nearest hundredth. Use your calculator's value of π.
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Answer: The shaded area is 99.55 units squared.

Step-by-step explanation:

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A3 = pi*r^2 = 3.14*(3.2)^2 = 32.15 units squared.

Then the shaded area is:

A = A1 + A2 - 4*A3 = 163.84 + 64.31 - 4* 32.15 = 99.55 units squared.

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4 years ago
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