What is the radius of a sphere with a volume of 572 cm", to the nearest tenth of a
centimeter?

Answer:

I think they are asking the area of the triangle so we are going with that.

Step-by-step explanation:

Easiest way to do this is find the area of the incomplete square, and then cut that in half for the triangle.

so it is 4 cm wide

and 8 cm tall

length x width = area

8 x 4 = 32

32/2 = 16

So your answer should be 16 cm

Answer:

  A. m(-1)^(n-1)

Step-by-step explanation:

The degree of m doesn't change so none of the expressions with n as an exponent of m can possibly be correct. That leaves only choice A.

_____

You will find that when alternating signs are required, the term (-1)^n will be a factor. An offset of ±1 can be added to the n to make the initial sign be what you want. Here we want +1 for n=1, so an exponent of (n-1) is appropriate.

Final answer:

The general term for the sequence m, -m, m, -m, ... is m(-1)^(n-1). This is correct because -1 when raised to an odd power gives -1, and when raised to an even power gives 1, ensuring alternation between m and -m.

Explanation:

The question refers to a sequence where the terms alternate between positive and negative values of m. The general term that describes such a sequence is m(-1)^(n-1).

This term works because when raised to an odd power, -1 gives -1, and when raised to an even power, -1 gives 1. Thus, the expression alternates between m and -m for different values of n.

For instance, when n is 1, the term is m; when n is 2, the term is -m; when n is 3, the term is m; and so on. Therefore, the correct answer is option A: m(-1)^(n-1).

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The equation of the line perpendicular to x = -4 that passes through the point (-2,5) is y = 5  .

In the question ,

it is given that

the required line is perpendicular to x = -4

the slope of x = -4

x + 4 = 0

0.y = x + 4

slope = 1/0

so the slope of the perpendicular line 0   .

the equation of the perpendicular line passing through (-2,5) and slope as 0  is

(y - 5) 0*(x + 2)

y -5 = 0

y = 5

Therefore , The equation of the line perpendicular to x = -4 that passes through the point (-2,5) is y =5  .

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Answer:

3

Step-by-step explanation:

colinear points mean along the same line

Line m has 3 points labeled

Line n has 3 points labeled

Each line has only 3 points labeled

This is an edit from my previous answer.

Initially I wrote that there were 5 collinear points. My line of reasoning was that A,B,C are on one line (making them collinear), and points D,B,E are on another line (another set of collinear points).

However, if the question is asking how many collinear points are on one particular line, then the answer would be 3 collinear points. You can focus on either line and it's the same number of collinear points.

Definition: The term "collinear" means all points fall on the same straight line.

Answer:

The product decreases 2022.

Step-by-step explanation:

(x + 1)(y - 1) = xy + 2020

xy - x + y - 1 = xy + 2020

-x + y = 2021

(x - 1)(y + 1) = xy + x - y - 1

  + 2021   =       -x + y

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(x - 1)(y + 1) + 2021 = xy - 1

(x - 1)(y + 1) = xy - 2022

The product decreases 2022.