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Naddik [55]
3 years ago
14

Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unkno

wn endpoint. Apply the midpoint​ formula, and solve the two equations for x and​ y.)
midpoint ​(−20​,6​), endpoint ​(−13​,9​)
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
4 0
Midpoint (-20,6), correct.
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Bill is 2 years older than his brother Will. If the product of their ages is one less than five times the sum of their ages, how
Advocard [28]

Answer:

Will's age = 9 years

Bill's age = 11years

Step-by-step explanation:

Let will age = x

Bill = x +2 since he is 2 years older

x(x+2) = 5( x +x+2) - 1

Opening brackets

x² + 2x = 5(2x + 2) - 1

x² + 2x = 10x + 10 - 1

x² + 2x = 10x + 9

Collect like terms

x² + 2x - 10x - 9 = 0

x² - 8x - 9 = 0

Solve quadratically using factorisation method by finding two factors of +9 that can add up to give -8, the coefficient of x.

The factors are -9 and +1

x² + x - 9x - 9 = 0

x(x + 1) -9( x +1)

x+1) (x -9) =0

x + 1 = 0 or x -9 =0

x = -1 or 9

Age can not be negative

Therefore,

Will's age = 9 years

Bill's age = x+2 = 9+2 = 11years

I hope this was helpful, please rate as brainliest

6 0
2 years ago
Through (0,2) and (4,1) write the slope intercept form of the equation of the line
lesya692 [45]

Answer:

y= -1/4x+2

Step-by-step explanation:

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6 0
3 years ago
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A certain bean plant grows 15% of its height each day today after 10 days the bean plant is 27 inches tall how tall was it yeste
frez [133]
Given:
15% of its height each day
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27 represents 115% of the height yesterday. So we divided 27 by 115% to get yesterdays height.

27 ÷ 115% = 23.48 inches.

The plant was 23.48 inches tall yesterday.

To check:
23.48 x 15% = 3.52 inches
23.48 + 3.52 = 27 inches

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The four stars are located in star m
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The figure is rotated 90 degrees counterclockwise around the origin and then translated to the right 6 units.

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