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elena-14-01-66 [18.8K]
3 years ago
11

Find endpoint with given endpoint and midpoint

Mathematics
1 answer:
TEA [102]3 years ago
3 0

Answer:

(21, 17 )

Step-by-step explanation:

Using the midpoint formula and equating to the coordinates of the midpoint.

Let endpoint 2 have coordinates (x, y ), then

0.5(x - 3) = 9 ( multiply both sides by 2 )

x - 3 = 18 ( add 3 to both sides )

x = 21

and

0.5(y - 5) = 6 ( multiply both sides by 2 )

y - 5 = 12 ( add 5 to both sides )

y = 17

endpoint 2 = (21, 17 )

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The value of x would be 4m
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3 years ago
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Helena wrote the equation using point-slope form for the line that passes through the points (5, 1) and (3, 5). Analyze the step
viva [34]

Answer:

In step 2, she didn’t use an x and y from the same coordinate pair

Step-by-step explanation:

see the attached figure to better understand the problem

we have the points (5, 1) and (3, 5)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{5-1}{3-5}

m=\frac{4}{-2}

m=-2

step 2

The equation of the line in point slope form is

y-y1=m(x-x1)

take the point (3,5)

m=-2

substitute

y-5=-2(x-3)

y-5=-2x+6

y=-2x+6+5

step 3

y=-2x+11

therefore

In step 2, she didn’t use an x and y from the same coordinate pair

3 0
3 years ago
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At a local bodega, the cost of a bottle of soda at the corner store is $1.20, and the cost of a bottle of juice is $1.05. What w
irinina [24]

<u>Part</u><u> </u><u>1</u> 6(1.20)+4(1.05)=$11.40

<u>Part</u><u> </u><u>2</u> 1.20x+1.05y

5 0
2 years ago
The band club needs $1328 for decorations for this year’s concert. So far, they have $43. Find the minimum amount each of the 30
Mariulka [41]

Answer:

$42.83

Step-by-step explanation:

1: Subtract the amount they have by the amount they need.

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2: Divide amount they need ($1,285) by the total staff members (30).                Hence the equation is 1285 ÷ 30

3: Whatever answer you get from that equation is the answer

1285 ÷ 30 = $42.83

When you divide, you are setting the amount each staff member needs to donate by seeing how much money 30 people can give (equally) that adds up to 1285.

Hope this helps :)

-jp524

3 0
3 years ago
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Subtract and reduce to lowest terms: 4 1/7 - 2 4/7
tatyana61 [14]

Answer:

Step-by-step explanation:

Both terms have the same denominator, 7.  So combining them is relatively easy.  Rewrite 2 4/7 as 18/7 and then subtract 18/7 from 1/7:

1/7 - 18/7 = -17/7

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3 years ago
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