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2 years ago

5

-Quiz- Which equation represents a circle with a center at (-4, 9) and a diameter of 10 units?

1 answer:

vodka [1.7K]2 years ago

7 0

Answer:

(x - 9)2 Step-by-step explanation:

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Point G is the midpoint of PQ. <br> PG equals 2X plus 3 and GQ equals 5X -5. what is X?

borishaifa [10]

Answer:

$x=\frac{8}{3}=2\frac{2}{3}\approx{2.667}$

Step-by-step explanation:

$\overline{PG}=2x+3\\\overline{GQ}=5x-5$

Since they're equidistant (equal distances), we can set them equal to one another and solve for x:

$2x+3=5x-5$

Adding 5 to both sides:

$2x+8=5x$

Subtracting 2x from both sides:

$8=3x$

Dividing both sides by 3:

$\frac{8}{3}=x$

Therefore:

$x=\frac{8}{3}=2\frac{2}{3}\approx{2.667}$

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2 years ago

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mihalych1998 [28]

Answer:

Solve for the single variable in the one-variable equation.

Step-by-step explanation:

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2 years ago

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6 times (7+5) plus 3 or 6x(7+5)+3

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Determine whether the equation has no solution, one solution, or infinitely many solutions. 7(12 – 2 x ) = 4(3 – 3 x )

Alex777 [14]

Answer: The equation has one solution

Step-by-step explanation: First , open the brackets

7( 12 - 2x ) = 4 (3 - 3x )

84 - 14x = 12 - 12x

collect the like terms

84 - 12 = - 12x + 14x

72 = 2x

Therefore divide through by 2

x = 72/2

x = 36

Therefore, the equation has only one solution

3 0

2 years ago

Q8<br> The midpoint of GH is M (2,2). One endpoint is H (1,9). Find the coordinates of endpoint G.

Amanda [17]

Answer:

(3,-5)

Step-by-step explanation:

Given

$M = (2,2)$

$H = (1,9)$

Required

Determine G

This is calculated using the following midpoint formula;

$M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

Where

$(x,y) = (2,2)$ and $(x_1,y_1) = (1,9)$

Substitute these values in the formula above

$(2,2) = (\frac{1 + x_2}{2},\frac{9 + y_2}{2})$

Solving for $x_2$

$2 =\frac{1 + x_2}{2}$

Multiply both sides by 2

$2 * 2 = 1 + x_2$

$4 = 1 + x_2$

$x_2 = 4 - 1$

$x_2 = 3$

Solving for $y_2$

$2 = \frac{9 + y_2}{2}$

Multiply both sides by 2

$2 * 2 = 9 + y_2$

$4 = 9 + y_2$

$y_2 = 4 - 9$

$y_2= -5$

Hence, the coordinates of G is $(3,-5)$

4 0

2 years ago