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3 years ago

The midpoint of segment XY is (6, -3). The coordinates of one endpoint are X(-1, 8). Find the coordinates of endpoint Y.

Mathematics

1 answer:

Snezhnost [94]3 years ago

4 0

Answer:

The answer to your question is: Y = (13, -14)

Step-by-step explanation:

Data

midpoint = mp = (6, -3)

one endpoint = X = (-1, 8)

second endpoint = Y = (x, y)

Formula

Xmp = (x1 + x2) / 2

Ymp = (y1 + y2) / 2

Process

x2 = 2xmp - x1

y2 = 2ymp - y1

x2 = 2(6) - (-1) y2 = 2(-3) - 8

x2 = 12 + 1 y2 = -6 - 8

x2 = 13 y2 = - 14

Y = (13, -14)

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Which ordered pair is the solution to the system of linear equations y =5x +8 and y= -4 x-1

aleksley [76]

Answer:

(-1,3)

y=5x+8 , y=-4x-1y=5x+8,y=−4x−1

Both sides have y on the left hand side so make the right hand side equal and solve for x

5x+8= -4x-15x+8=−4x−1

To solve for x , add 4x on both sides

9x+8=-19x+8=−1

Subtract 8 on both sides

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Divide by 9 on both sides

x=-1x=−1

Now plug in -1 for x in the first equation and find out y

y=5x+8y=5x+8

y=5(-1)+8y=5(−1)+8

y=-5+8y=−5+8

y=3y=3

Ordered pair is (x,y) that is (-1,3)

Step-by-step explanation:

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2 years ago

Math help pls, thank you! show steps if needed

Papessa [141]

Answer:

6) y = x^(5/3)

7) B

8) C

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Step-by-step explanation:

6) The fifth root is the same as raising to the 1/5 power, so we can write this in exponent form as:

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To find the inverse, switch x and y and solve for y.

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7) f(x) = 2√(x − 4) + 8

Switch the x and y and solve for y:

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10) √(4x − 31) = x − 7

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3 years ago

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3 years ago

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Misha Larkins [42]

Answer:

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d) The y-intercept of the function is 35.

Step-by-step explanation:

a) According to the statement, we must assume that number of pieces of mail that must be hand-sorted (dependent variable) is represented by a linear function in terms of time (independent variable). That is:

$n(t) = m\cdot t + n_{o}$ (1)

Where:

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$t$ - Time, measured in minutes.

$n_{o}$ - Initial number of pieces of mail that must be hand-sorted (y-intercept), measured in pieces.

$n$ - Current number of pieces of mail that must be hand-sorted, measured in pieces.

From Geometry, we know that a line can be formed by know two distinct points. If we know that $n(15\,min) = 80\,p$ and $n(45\,min) = 170\,p$ , then the following system of linear equations is formed: