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3 years ago

5

melissa began atop a hill that was 1,350 feet high. she descended 120 feet, took a break and then descended 235 more feet. Which

expression shows the change in melissa elevation

2 answers:

Anna11 [10]3 years ago

5 0

1500 is the answer I did this a while ago I think not sure

vitfil [10]3 years ago

4 0

I believe the answer is 1,500

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Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic

Andrei [34K]

Answer:

$\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

Step-by-step explanation:

Given the center of sphere is: (-2, 2, 3)

Passes through the origin i.e. (0, 0, 0)

To find:

The equation of the sphere ?

Solution:

First of all, let us have a look at the equation of a sphere:

$(x-a)^2+(y-b)^2+(z-c)^2=r^2$

Where ( $x,y,z$ ) are the points on sphere.

$(a, b, c)$ is the center of the sphere and

$r$ is the radius of the sphere.

Radius of the sphere is nothing but the distance between any point on the sphere and the center.

We are given both the points, so we can use distance formula to find the radius of the given sphere:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

Here,

$x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3$

So, Radius is:

$r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}$

Therefore the equation of the sphere is:

$(x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

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3 years ago

67cd What are the factors of the expression? Drag all of the factors of the expression into the box. Factors −1 67 6 7c d

Romashka-Z-Leto [24]

If your looking for greatest common factors they are 1,67, c,and d.

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choli [55]

Answer:

y = -cos(2x)

Step-by-step explanation:

Mean/mid line: y = 0

It's a negative cos, with period pi.

So, y = -cos(2x)

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3 years ago

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Aleksandr [31]

First simplifying step by step.

<span>16x^5+12xy-9y^5

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It will help you.</span></span></span>

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3 years ago

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Mice21 [21]

The rectangular prism has a volume of, 1/4 cubic meter.

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