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babunello [35]
3 years ago
11

A student is attempting to solve a multi-step equation. Sample mathematical work is shown below. Which statement best applies to

the sample mathematical work?
Given the equation , I must solve for m. I first subtract 8 from both sides, which gives me
−m/2
= -25/3. I then multiply both sides by –2, which gives me the final answer of m=50/3

A) The student incorrectly subtracted 8 from both sides.
B) The student incorrectly multiplied both sides by –2.
C) The final answer is not reduced or simplified.
D) The mathematical work shown is correct

Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0
I think the answer is c because it shows the final answer as a improper fraction so the final answer needs to be reduced or simplified.
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Answer:

(3,7) for the first line, and (12,0) for the second one.

Step-by-step explanation:

Hi Isabella,

1) The Midpoint of a line, when it comes to Analytical Geometry, is calculated as Mean of two points it follows:

x_{m}=\frac{x_{1} +x_{2} } {2}, y_{m} =\frac{y_{1}+ y_{2} }{2}

2) Each segment has two endpoints, and their midpoints, namely:

a) (1,-9) and its midpoint (2,-1)

b) (-2,18) and its midpoint (5,9)

3) Calculating. You need to be careful to not sum the wrong coordinates.

So be attentive!

The first line a

2=\frac{1+x_{2} }{2}\\  4=1+x_{2}\\  4-1=-1+1+x_{2} \\ x_{2}=3\\-1=\frac{y_{2}-9}{2}\\-2=y_{2}-9\\+2-2=y_{2}-9+2\\ y_{2}=-7

So (3,7) is the other endpoint whose segment starts at (1,-9)

The second line b endpoint at (-2,18) and its midpoint (5,9)

5=\frac{-2+x_{2} }{2} \\ 10=-2+x_{2} \\ +2+10=+2-2+x_{2}\\ x_{2}=12 \\ \\ 9=\frac{18+y_{2} }{2} \\ 18=18+y_{2} \\ -18+18=-18+18+y_{2}\\ y_{2} =0

So (12,0) it is the other endpoint.

Take a look at the graph below:

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The value of b is -6.

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Applying exponent rule, \frac{1}{a^{b}}=a^{-b}, we have,

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The expression is of the form, a^{f(x)}=a^{g(x)} then f(x)=g(x)

Applying this rule, we get,

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Dividing both sides by 4, we have,

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