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raketka [301]
4 years ago
7

When 6 is added to 3/4 of a number, the result is 4 less than the number

Mathematics
1 answer:
anastassius [24]4 years ago
6 0

<em>Greetings from Brasil...</em>

According to the statement of the question, we can write the following equation:

<h2>3X/4 + 6 = X - 4</h2>

solving this equation

3X/4 + 6 = X - 4

3X/4 - X = - 4 - 6

4X - 3X = 40

<h2>X = 40</h2>

<em>refer to attached</em>

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(50 points) A diameter of a circle has endpoints P(-10, -2) and Q(4,6)
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Answer:

Step-by-step explanation:

The center of the circle is the midpoint of the two end points of the diameter.

Formula

Center = (x2 + x1)/2 , (y2 + y1)/2

Givens

x2 = 4

x1 = - 10

y2 = 6

y1 = - 2

Solution

Center = (4 - 10)/2, (6 - 2)/2

Center = -6/2 , 4/2

Center = - 3 , 2

So far what you have is

(x+3)^2 + (y - 2)^2 = r^2

Now you have to find the radius.

You can use either of the endpoints to find the radius.

find the distance from (4,6) to (-3,2)

r^2 = ( (x2 - x1)^2 + (y2 - y1)^2 )

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x1 = -3

y2 = 6

y1 = 2

r^2 = ( (4 - -3)^2 + (6 - 2)^2 )

r^2 = ( (7)^2 + 4^2)

r^2 = ( 49 + 16)

r^2 = 65

Ultimate formula is

(x+3)^2 + (y - 2)^2 = 65

The radius is √65 = 8.06

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