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Tcecarenko [31]
3 years ago
11

+4\sqrt{192" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
crimeas [40]3 years ago
5 0
Here's the answer :)

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The midpoint of GH is M( 6,-4). One endpoint is G(8,-2). Find the coordinates of endpoint H.
Finger [1]

Using the midpoint formula, the coordinates of endpoint H are (4, -6).

<h3>The Midpoint Formula</h3>

The midpoint formula is given as: (x_m, y_m) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )

<em>Where</em>,

(x_m, y_m) = coordinates of the midpoint

(x_1, y_1) = coordinates of the first point

(x_2, y_2) = coordinates of the second point

Given the following:

(x_m, y_m) = M( 6,-4)

(x_1, y_1) = G(8,-2)

(x_2, y_2) = H(?, ?)

Plug in the values into the midpoint formula

M(6, -4) = (\frac{8 + x_2}{2}, \frac{-2 + y_2}{2} )

Solve for the x-coordinate and y-coordinate separately

6 = \frac{8 + x_2}{2}

  • Multiply both sides

6 \times 2 = 8 + x_2\\\\12 = 8 + x_2\\\\12 - 8 = x_2\\\\4 = x_2\\\\\mathbf{x_2 = 4}

-4 = \frac{-2 + y_2}{2}\\\\-8 = -2 + y_2\\\\-8 + 2 = y_2\\\\-6 = y_2\\\\\mathbf{y_2 = -6}

Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).

Learn more about midpoint formula on:

brainly.com/question/13115533

3 0
2 years ago
The given line passes through the points (-4,-3) and (4,
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

first we gotta find the slope of the first line

(-4,-3),(4,1)

slope = (y2 - y1) / (x2 - x1) = (1- (-3) / (4 - (-4) = (1 + 3) / (4 + 4) = 4/8 = 1/2

so the slope is 1/2.....so we are looking for a line that is perpendicular....perpendicular lines have negative reciprocal slopes...all that means is flip the slope and change the sign....so the slope we need is :

1/2....flip it....2/1.....change the sign....-2.....we need a -2 slope

y - y1 = m(x - x1)

slope = -2

(-4,3)...x1 = -4 and y1 = 3

now sub

y - 3 = -2(x - (-4) =

y - 3 = -2(x + 4) <=====

6 0
3 years ago
INFINITE SERIES
snow_lady [41]
Do you have to show ur work?
7 0
3 years ago
The ratio of two computers is 3:2.
serious [3.7K]

Answer:

1. $82,500

2. 169 : 110

Step-by-step explanation:

The computation is shown below:

Given that

1. Ratio between two computers is 3:2

And the first computer cost is $55,000

Let us assume the price of the second computer be x.

As we know that

Product of extremes = Product of mean.

2 : 3 :: 55000 : x .

Now cross mutiplication is to be done

2x = $55,000 × 3

x = $1,650,000 ÷ 2

= $82,500

2. Now if the price of the 2nd computer rised by $2,000

So the new cost would be

= $82,500 + $2,000

= $84,500

Now the ratio would be

= $55,000 :  $84,500

= 169: 110

8 0
3 years ago
The distance that Scott walks is a function of the time he spends walking. Scott can walk 1 half
MaRussiya [10]

Step-by-step explanation:

It is given that,

The distance that Scott walks is a function of the time he spends walking. Scott can walk 1 half  mile every 8 minutes.

Let y is the distance (in miles) and x is time (in minutes).

\dfrac{0.5}{8}=\dfrac{y}{x}\\\\\dfrac{x}{y}=16\\\\y=\dfrac{x}{16}

The attached graph predicts the shape of the function. Hence, this is the required solution.

8 0
3 years ago
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