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Ulleksa [173]
3 years ago
5

Solve the following equations for x 13−(2x+2)=2(x+2)+3x

Mathematics
1 answer:
Montano1993 [528]3 years ago
4 0

Answer:

x = 7

Step-by-step explanation:

Distribute the 2 on the right and the -1 on the left: 13 - 2x - 2 = 2x + 4 + 3x

Combine like terms on each side of the equation: 11 - 2x = 5x + 4

Add 2x to both sides, and subtract 4 from each side: 7 = 7x

Divide both sides by 7: x = 7

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Answer:

The equation of the circle is;

(x - 2)² + (y - 4)² = 5²  

Step-by-step explanation:

We note that the general equation of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

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The given parameters are;

The location of the center of the pool to the center of their formation = 2 feet to the right and 4 feet up from the center of the pool

The point through which the circle which they form goes through = A point 3 feet to the left and 4 feet up from the center of their formation

Taking the center of the pool as the origin of the coordinate plane system, we have;

The coordinate of the center of the circle = The coordinate of their motion from the center of the circle

∴ The coordinate of the center of the circle = (2, 4)

∴ (h, k) = (2, 4)

h = 2, k = 4

The coordinate of the point through which the circle passes = (2 - 3, 4 + 4) = (-1, 8)

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r = 5

The equation of the circle is therefore presented by substituting the values of 'h', 'k', and 'r', as follows;

(x - 2)² + (y - 4)² = 5².

4 0
3 years ago
3 intersecting lines are shown. A line contains points E, D, A, and B. Another line intersects the line at point A and contains
GREYUIT [131]

Answer:

The one with arrows are the answers

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Line segment D A is congruent to Line segment A B .

Step-by-step explanation:

I did it on edge and got it right

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