What happens when two plates<br> move toward each other?

Find the equation of the line. <br> Use exact numbers.

AlekseyPX

The slope of the line (m) = 3/1 = 3
and the y intercept is at (0,3) that is y = 3 so b = 3

using the slope intercept form y = mx + b

m = 3 and b = 3

so answer is y = 3x + 3

8 0

4 years ago

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The volume of a sphere is 32 3 π cubic centimeters. What is the radius? Sphere V = 4 3 πr3

allsm [11]

Answer:

To solve for the volume of a sphere, you must first know the equation for the volume of a sphere.

V=43(π)(r3)

In this equation, r is equal to the radius. We can plug the given radius from the question into the equation for r.

V=43(π)(123)

Now we simply solve for V.

V=43(π)(1728)

V=(π)(2304)=2304π

Answer is 2304

4 0

3 years ago

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Which set of numbers could represent the lengths of the sides of a right triangle?

DiKsa [7]

Answer:

The first set: 8, 15, and 17.

Step-by-step explanation:

By the pythagorean theorem, a triangle is a right triangle if and only if

$\text{longest side}^2 = \text{first shorter side}^2 + \text{second shorter side}^2$ .

In this case,

$\text{longest side}^2 = 17^2 = 289$ .

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 8^2 + 15^2\\ &=64 + 225 = 289 \end{aligned}$ .

In other words, indeed $\text{hypotenuse}^2 = \text{first leg}^2 + \text{second leg}^2$ . Hence, 8, 15, 17 does form a right triangle.

Similarly, check the other pairs. Keep in mind that the square of the longest side should be equal to the sum of the square of the two

Factor out the common factor $2$ to simplify the calculations.

$\text{longest side}^2 = 20^2 = 400$

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 10^2 + 15^2\\ &=100 + 225 = 325 \end{aligned}$ .

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

$\text{longest side}^2 = (2\times 11)^2 = 2^2 \times 121$ .

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= (2 \times 6)^2 + (2 \times 9)^2\\ &=2^2 \times(36 + 81) = 2^2 \times 117 \end{aligned}$ .

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

$\text{longest side}^2 = 11^2 = 121$ .

<h3> $\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 7^2 + 9^2\\ &=49+ 81 = 130 \end{aligned}$ .</h3>

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

6 0

4 years ago

Can someone please help I will give u brainliest

kotegsom [21]

Answer:

it's 24.5 Sq feet

Step-by-step explanation:

if you multiply 7 × 3.5 you get the awnser

6 0

3 years ago

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A SPHERICAL BALL HAS A DIAMETER OF 8 INCHES.THE BALL HAS A SLOW LEAK IN WHICH AIR ESCAPES AT THE RATE OF 2.5 CUBIC INCHES PER SE

Anit [1.1K]

107.52 seconds for the ball to deflate.

6 0

3 years ago

What happens when two plates move toward each other?