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Elena-2011 [213]
3 years ago
9

What is the slope of the line that passes through the points (-5,2) and (-7,6)

Mathematics
2 answers:
anastassius [24]3 years ago
6 0

Find the gradient of the line.

Since Gradient = Rise / Run,

Gradient = (2-6) / (-5+7) = -4 / 2 = -2

Hence, the slope of the line is -2.

kodGreya [7K]3 years ago
3 0

Answer:

-2

Step-by-step explanation:

remember slope is y2-y1/x2-x1

6-2/-7-(-5)

4/-2= -2

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What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm? Ente
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The measure in radians for the central angle of the circle is; 0.9 radians.

<h3>What is the angle measure in radians of the central angle?</h3>

Since, the length of the arc is given as 7.2cm and it's radius is 8cm.

It follows that the angle measure of the central angle can be evaluated as follows;

7.2 = (A/6.28) × 2× 3.14 × 8

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A = 7.2/8

A = 0.9 radians.

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2 years ago
Hi! Please help, I'd appreciate it!
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The volume of sphere is \frac{1372}{3}\pi feet cubed.

Step-by-step explanation:

Given,

Surface area of sphere = 196π square feet

Surface area of sphere = 4πr²

We will find radius of sphere.

4\pi r^2=196\pi

Dividing both sides by 4π

\frac{4\pi r^2}{4\pi}=\frac{196\pi}{4\pi}\\\\r^2=49

Taking square root on both sides

\sqrt{r^2}=\sqrt{49}\\r=7

The radius is 7 feet.

Volume of sphere = \frac{4}{3}\pi r^3

Volume=\frac{4}{3}\pi (7)^3\\\\Volume= \frac{4}{3}\pi *343\\\\Volume = \frac{1372}{3}\pi

The volume of sphere is \frac{1372}{3}\pi feet cubed.

Keywords: volume, surface area

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