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stellarik [79]
3 years ago
5

PQ has endpoint p(0,0)and Q(8,4) find the coordinates of the mid point pq

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0
The answer is (4,2).

Midpoint formula:
(x \: y) = ( \frac{x2 - x1}{2}) (\frac{y2 - y1}{2} )
Find the x value:
x = ( \frac{x2 - x1}{2} )
Plug in the givens:
x =  \frac{8 - 0}{2}  =  \frac{8}{2}  = 4
Find the y value:
y = ( \frac{y2 - y1}{2} )
Plug in the values:
y = ( \frac{4 - 0}{2} ) =  \frac{4}{2}  = 2
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-2+4(-x+4)=10 using distributive property and collecting like terms
stich3 [128]

Answer:

<h2>x = 1</h2>

Step-by-step explanation:

-2+4(-x+4)=10\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\-2+(4)(-x)+(4)(4)=10\\\\-2-4x+16=10\qquad\text{combine like terms}\\\\-4x+(-2+16)=10\\\\-4x+14=10\qquad\text{subtract 14 from both sides}\\\\-4x+14-14=10-14\\\\-4x=-4\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4x}{-4}=\dfrac{-4}{-4}\\\\x=1

4 0
3 years ago
three student share a townhouse their electric bill for october was 3.87 less than the september bill. the total of both bills i
leva [86]

Answer: 40.27

Step-by-step explanation:

Let their September bill be x

Therefore, the October bill will be = x - 3.87.

Therefore, the addition of both bills will be:

x + (x - 3.87) = 237.75

x + x - 3.87 = 237.75

2x - 3.87 = 237.75

2x = 237.75 + 3.87

2x = 241.62

x = 241.62/2

x = 120.81

Therefore, September bill was 120.81

Since the 3 students share the bull equally, the amount owed by each will be:

= 120.81 / 3

= 40.27

Each person owes 40.27

4 0
3 years ago
A length of 9 and<br> a perimeter of 22
Bad White [126]

Answer:

Width is 2 if that's what you were looking for.

Step-by-step explanation:

I'm guessing it's a rectangle and you want the width?

22-9-9=2w

2w=4

The width is 2

4 0
3 years ago
Step 1: 12x – 15 – 12x = 7x + 20
stealth61 [152]

Step-by-step explanation:

step 1. 12x - 15 - 12x = 7x + 20

step 2. 12x - 12x - 15 = 7x + 20 (grouping of terms)

step 3. -15 = 7x + 20 (adding like terms)

step 4. -35 = 7x (subtract 20 from both sides)

step 5. this step is incorrect.

step 6. -5 = x ( divide both sides by 7)

step 7. x = -5 (put the variable first).

5 0
3 years ago
Find the mean 35 40 12 16 25 10
ruslelena [56]

Answer: Mean = 23

Step-by-step explanation:

<u>Given information:</u>

35, 40, 12, 16, 25, 10

<u>Given formula:</u>

Mean~=~\frac{Sum~of~terms}{Number~of~terms}

<u>Substitute values into the formula</u>

Mean~=~\frac{35~+~40~+~12~+~16~+~25~+~10}{6}

<u>Combine like terms</u>

Mean~=~\frac{75~+~28~+~35}{6}

Mean~=~\frac{103~+~35}{6}

Mean~=~\frac{138}{6}

<u>Simplify the fraction</u>

\Large\boxed{Mean=23}

Hope this helps!! :)

Please let me know if you have any questions

4 0
2 years ago
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