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Ilya [14]
2 years ago
14

Pls help it due in a hour

Mathematics
1 answer:
Levart [38]2 years ago
6 0

Answer:

The coordinates of the Midpoint of AB will be: (1/2, 5)

Step-by-step explanation:

Given the points

  • A(-2, 6)
  • B(3, 4)

Finding the midpoint between (-2, 6) and (3, 4)

\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

\left(x_1,\:y_1\right)=\left(-2,\:6\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)

M.P=\left(\frac{3-2}{2},\:\frac{4+6}{2}\right)

        =\left(\frac{1}{2},\:5\right)

Therefore, the coordinates of the Midpoint of AB will be: (1/2, 5)

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3 years ago
A 13foot lader i upagenst a tree the bottom of the ladder is 5 feet away form the tree how high is the ladder on the tree
SCORPION-xisa [38]

Think of the 13-ft length of the ladder as the hypotenuse of a right triangle. Represent the horiz. distance from foot of ladder to base of tree by x, or 5 ft.

Represent the vert. dist. from base of tree to top of ladder by y, which is unknown.


Then (13 ft)^2 = (5 ft)^2 + y^2, or


169 ft^2 = 25 ft^2 + y^2. This simplifies to y^2 = 144. Thus y = + 12 feeet.


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3 years ago
Does anyone understand how to do this
Lerok [7]

Answer:

Step-by-step explanation:

I understand it!  (But I'm a high school math teacher so it might be unfair!) ; )

Anyway you have 2 numbers.  You don't know what they are so we will call them x and y.  Our first statement says that these numbers multiply to equal 120.  So that first equation is

xy = 120

Our second statement says that they add to -22.  So that second equation is

x + y = -22

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x+\frac{120}{x}=-22

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x^2+120=-22x

Get everything on one side of the equals sign and factor:

x^2+22x+120=0

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x^2+12x+10x+120=0

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(x^2+12x)+(10x+120)=0

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If x = -10, then

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The combinations of x and y are:

If x = -12, y = 10

If x = -10, y = -12

It doesn't matter which one is which.  They are not asking you to specifically define x and y.  They are asking you to find the numbers, and you did!

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