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2 years ago

Can someone please help me? I don't understand how to solve this.

Mathematics

1 answer:

Scilla [17]2 years ago

3 0

Answer:

(5, 15)

Step-by-step explanation:

The problem statement tells you how to solve it. You are expected to know what the midpoint formula is.

You are given that (x, y) is the unknown end point. If (Mx, My) is the midpoint, and (x1, y1) is one end point, the midpoint formula tells you ...

Mx = (x1 +x)/2

My = (y1 +y)/2

Solving these equations for x and y, you get ...

2Mx = x1 +x

x = 2Mx -x1

Similarly, ...

2My = y1 +y

y = 2My -y1

Filling in the given coordinates, this becomes ...

x = 2(-2) -(-9) = -4 +9 = 5

y = 2(7) -(-1) = 14 +1 = 15

The other endpoint is (5, 15).

_____

<em>Additional comment</em>

I like to write the midpoint formula for points A and B as ...

M = (A +B)/2

where A and B each represent an ordered pair (or triple, in 3 dimensions). The arithmetic is done element-by-element on the ordered pairs, so this formula is equivalent to the one above.

If you solve it for B, you get ...

B = 2M - A . . . . the other endpoint given the midpoint and one endpoint

This might be a formula you want to add to your list of useful formulas in Algebra.

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Nonamiya [84]

The answer is 1 km
————————————-

Proofs:

Area of a rectangle=length x width

Area of rectangle= 4kmE2
Length of rectangle= 4km
Width of rectangle= X

4=4(x)

Find x

4=4(1)

Therefore the width of the rectangle= 1km
——————————————————————————
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4 0

3 years ago

To subtract 78 - 35 mentally Carmen out of 5 to each number and Karen a tattoo to each number will both met at work to find the

Vinil7 [7]

215 is the answer because 78-35 =43 43×5=215

4 0

4 years ago

Solve the equation <br> Answer options : y= 576 <br> Y= 16<br> Y=4 <br> Y=2

Maru [420]

Answer:

I believe the correct answer is option B

7 0

4 years ago

Pls help no links if u can pls explain the steps I’ll be grateful

valkas [14]

Answer:

WX = 9

Step-by-step explanation:

WY is the entire line - this tells you that the length of the entire line is 11.

XY is a section of the line, and WX is the section you need to find the length for. Since it is given that XY is of length 2, we can find the length of WX by subtracting the length of XY from WY.

11 (WY) - 2 (XY) = 9.

8 0

3 years ago

What is the value of E(-1) n (3n+2)?

RoseWind [281]

<h3>Answer: C) 6</h3>

====================================================

Explanation:

The weird looking E symbol is the greek uppercase letter sigma. It refers to a sum.

It tells us to add up terms in the form (-1)^n*(3n+2) where n is an integer ranging from n = 1 to n = 4.

------------------

If n = 1, then we have

(-1)^n*(3n+2) = (-1)^1*(3*1+2) = -5

Let A = -5 as we'll use it later.

------------------

If n = 2, then

(-1)^n*(3n+2) = (-1)^2*(3*2+2) = 8

Let B = 8 since we'll use this later as well

------------------

If n = 3, then

(-1)^n*(3n+2) = (-1)^3*(3*3+2) = -11

Let C = -11

-------------------

If n = 4, then

(-1)^n*(3n+2) = (-1)^4*(3*4+2) = 14

Let D = 14.

--------------------

We'll add up the values of A,B,C,D to get the final answer

A+B+C+D = -5+8+(-11)+14 = 6

This means that

$\displaystyle \sum_{n=1}^{4}(-1)^n(3n+2) = 6$

6 0

3 years ago