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2 years ago

The midpoint of AB is M(-4,2). If the coordinates of A are (-6,5), what are the

Mathematics

1 answer:

-Dominant- [34]2 years ago

8 0

Answer:

(-2,-1)

Step-by-step explanation:

Midpoints are found when you do ([x(subscript A) + x(subscript B)]/2, [y(subscript A) + y(subscript B)]. Therefore your equation (for x of B) should look like this:

-4 = ([-6+x]/2)

After you solve for x, you should have gotten -2 for x.

Then you do the same for y:

2 = ([5+y]/2)

You should get -1. Your final answer should be (-2, -1)

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Expand and simplify 4(2x +7) – 3(x + 5)

Vikentia [17]

Answer:

$4\left(2x+7\right)-3\left(x+5\right)=5x+13$

Step-by-step explanation:

Given the expression

$4\left(2x+7\right)-3\left(x+5\right)$

<u>Expand and simplify the expression</u>

$4\left(2x+7\right)-3\left(x+5\right)$

Expand 4(2x + 7) = 8x + 28

$4\left(2x+7\right)-3\left(x+5\right)=8x+28-3\left(x+5\right)$

Expand -3(x + 5) = -3x - 15

$=8x+28-3x-15$

Group like terms

$=8x-3x+28-15$

Add similar elements: 8x - 3x = 5x

$=5x+28-15$

Simplify

$=5x+13$

Therefore, we conclude that:

$4\left(2x+7\right)-3\left(x+5\right)=5x+13$

6 0

3 years ago

If u = 2i - j; v= -5i + 4j and w = j find 4u (v -w).

Sedaia [141]

Answer:

-40

Explanation:

Given

u = 2i - j; v= -5i + 4j and w = j

Required

4u(v-w)

4u = 4(2i) = 8i

v - w = -5i + 4j - j

v - w = -5i + 3j

Substitute

4u(v-w)

= 8i(-5i+3j)

= -40(i*i) [since i*i = 1]

= -40

Hence the required solution is -40

5 0

1 year ago

The perimeter of a square is 44. Find the length of a diagonal.

julsineya [31]

If the perimeter is 44 the the diagonal is 22

7 0

3 years ago

Read 2 more answers

Drag each tile to the correct box. not all tiles will be used.Chris plans to mulch the border surrounding a rectangular garden i

amm1812

Length (L): 2w + 3

width (w): w

border (b): $\frac{1}{4} w$

Area (A) = (L + b) * (w + b) <em>NOTE: This is assuming the width also has a border</em>

= (2w + 3 + $\frac{1}{4} w$ ) * (w + $\frac{1}{4} w$ )

= $(2\frac{1}{4} w + 3)$ $(1\frac{1}{4} w)$

= $(\frac{9}{4} w + 3)$ $(\frac{5}{4} w)$

= $\frac{45}{16} w^2 + \frac{15}{4}w$

5 0

3 years ago

At the end of the sale, 22 crossbody purses were sold at $15 each, 34 wristlets priced at $12 were sold, 96 satchels marked at $

Brrunno [24]

Answer:

Average: 26.223529411764706 (Please round to the place value necessary since it does not say in the question.)

Step-by-step explanation:

We first find the number of items sold: 170

Then we find the total cost: 4458

We then divide 4458 by 170

We end up with the answer 26.223529411764706. (Please round to the place value necessary since it does not say in the question.)

5 0

2 years ago