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3 years ago

What is the slope-intercept form of a linear equation that passes through (-3,7) and is parallel to the equation y=2x+5

Mathematics

1 answer:

Misha Larkins [42]3 years ago

4 0

Answer:

The answer to your question is y = 2x + 13

Step-by-step explanation:

Data

Point ( -3, 7)

Parallel to y = 2x + 5

Process

1.- Find the slope of the new line

If two lines are parallel, they have the same slope.

The slope of the line given is "2", so the new line has the same slope.

2.- Substitute the date in the formula

y - y₁ = m(x - x₁)

y - 7 = 2(x + 3)

Expland

y - 7 = 2x + 6

Simplify

y = 2x + 6 + 7

y = 2x + 13

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3 years ago

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The closest measurement to the volume of hat is 84.82 in.³.

Step-by-step explanation:

Given:

The dimensions of hat are height(h) 9 inches and diameter(d) 6 inches.

Now, to find the volume of cone:

Putting the formula $\frac{1}{3}\pi r^{2}h$ .

Radius(r) is not given, finding the radius:

Radius(r)=half of the diameter(d)

$r=\frac{d}{2}$

$r=\frac{6}{2}$

$r=3$ .

Then, $\frac{1}{3}\pi r^{2}h$

= $\frac{1}{3}\times\pi \times3^{2}\times9$

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