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3 years ago

Use the slope formula to find the slope of the line through the points (−3,−6) and (0,3).

1 answer:

4 0

Slope= y/x so first let’s find the difference in the y coordinates. -6 and 3. -6 + 9= 3
So far we have 9/x, now on to the x coordinates. -3 and 0, -3 + 3 = 0
9/3 is the slope
now simplify and the slope is 3

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marishachu [46]

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3 years ago

Read 2 more answers

Find the volume of the hemisphere

seraphim [82]

Answer:

0.341 $\pi$ or 1.0723

Step-by-step explanation:

the volume of hemisphere = (2/3) $\pi$ $r^{3}$

r = (1/2)d = 0.8

(2/3) $\pi$ $(0.8)^{3}$ = 0.341 $\pi$ = 1.0723

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3 years ago

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3 years ago

30. Write an equation in point-slope form for the line through the given point with the given slope. (-7,9); m=4/5

tamaranim1 [39]

Equation in point-slope form is $y-9=4/5(x+7)$

Option C is correct.

Step-by-step explanation:

We need to Write an equation in point-slope form for the line through the given point with the given slope. (-7,9); m=4/5

The formula used for point-slope form is:

$y-y_1=m(x-x_1)$

We are given slope m = 4/5

Point (-7,9) where x₁ = -7 and y₁ = 9

Putting values in the formula:

$y-y_1=m(x-x_1)\\y-9=4/5(x-(-7))\\y-9=4/5(x+7)$

So, equation in point-slope form is $y-9=4/5(x+7)$

Option C is correct.

Keywords: Equation of line using Slope

Learn more about Equation of line using Slope at:

#learnwithBrainly

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3 years ago

A grain silo is in the shape of a cylinder with a hemisphere top. They cylinder is 20 feet tall. The volume of the silo is 2106

andreyandreev [35.5K]

Answer:

The radius of the silo is 5.788 feet.

Step-by-step explanation:

Since the silo has the shape of a cylinder, then;

Volume of the silo = Volume of a cylinder = $\pi$ $r^{2}$ h

Where: r is the radius of the silo, and h is the height.

Given that: volume = 2106 cubic feet, and height = 20 feet.

Then,

2106 = $\frac{22}{7}$ x $r^{2}$ x 20

2106 = $\frac{440}{7}$ $r^{2}$

2106 x 7 = 440 $r^{2}$

14742 = 440 $r^{2}$

$r^{2}$ = $\frac{14742}{440}$

$r^{2}$ = 33.5045

⇒ r = $\sqrt{33.5045}$

= 5.78831

r = 5.788 feet

The radius of the silo is 5.788 feet.

5 0

3 years ago