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IgorC [24]
3 years ago
9

The midpoint of AB is M(4, -2). One endpoint is A(-2, 6). What is the other endpoint for B?

Mathematics
1 answer:
Ghella [55]3 years ago
3 0

Answer:

endpoint for B is (10,-2)

Step-by-step explanation:

M={(x1+x2)/2,(y1+y2)/2}

(4,2)={-2+x2/2,6+y2/2)

By equating the x coordinates

4=-2+x2/2

8=-2+x2

8+2=x2

x2=10

By equating the y coordinates

2=6+y2/2

4=6+y2

4-6=y2

y2=-2

Therefore the endpoint for B is (10,-2)

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5x - x = -12 what is x???
aleksley [76]
X would equal -3. 5x-3 would equal -15, and 2 negatives would equal a positive. So, -15+3 would equal -12.
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3 years ago
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If f(x) = 3x22, evaluate afI: ()k=1
Korolek [52]

Step 1: Write out the function given

f(x)=3x^2-x

Step 2: Interprete the question given

\sum ^5_{k\mathop=1}f(\frac{k}{2})

The question requested we find the summation of the first five terms for f(k/2), when k is 1, 2, 3, 4, and 5

Step 3: Find the expression for f(k/2)

\begin{gathered} f(\frac{k}{2})=3(\frac{k}{2})^2-\frac{k}{2} \\ =\frac{3k^2}{4}-\frac{k}{2} \\ =\frac{3k^2-2k}{4} \end{gathered}\begin{gathered} =\frac{3(1)^2-2(1)}{4}+\frac{3(2)^2-2(2)}{4}+\frac{3(3)^2-2(3)}{4}+\frac{3(4)^2-2(4)}{4}+\frac{3(5)^2-2(5)}{4} \\ =\frac{1+8+21+40+65}{4} \\ =\frac{135}{4} \\ =33.75 \end{gathered}

Hence, the answer is 33.75

5 0
1 year ago
Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walk
tino4ka555 [31]

Answer:

total amount donated when aaron walks n miles = $2 + $3(n-1)

Step-by-step explanation:

Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walks and then a certain dollar amount for each additional mile he walks. Based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $23 to the charity.

Write a formula that can be used to determine the amount of money this sponsor donates when Aaron walks n miles.

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when Aaron walks 8 miles

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23 = 2 + 7x

23 - 2 = 7x

x = 3

additional amount paid is $3

total amount donated when aaron walks n miles = $2 + $3(n-1)

5 0
3 years ago
I WILL GIVE BRAINLIEST
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Step-by-step explanation:

9/8 × (-7/3) =

9 × -7 = -63

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3 years ago
An expression is shown.<br>2 3/4 x 2/3<br>What is the value of the expression?​
Novay_Z [31]

Answer:

The answer is 1 5/6

Step-by-step explanation:

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