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3 years ago

Write in slope intercept for slope being -5/7 and passes through (-4,-5)

Mathematics

1 answer:

frutty [35]3 years ago

4 0

Answer:

y = -5/7x - 55/7

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define

Slope <em>m</em> = -5/7

Random point (-4, -5)

y = -5/7x + b

Step 2: Find y-intercept <em>b</em>

-5 = -5/7(-4) + b

-5 = 20/7 + b

b = -55/7

Step 3: Write linear equation

y = -5/7x - 55/7

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The area of a cross section through the center of a sphere is 46 square inches. Find the surface area of the sphere.

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Answer:

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Step-by-step explanation:

The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.

area of circle

$A_{circle} = \pi r^2$

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$r^2 = \dfrac{46}{\pi}$

$r = \sqrt{\dfrac{46}{\pi}}$

$r = 3.83 ~in.$

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$SA = 4 \pi r^2$

$SA = 4 \times \pi \times (3.83)^2$

$SA = 184~in.^2$

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