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2 years ago

Solve the following proportion for X

Mathematics

1 answer:

mixer [17]2 years ago

8 0

Answer: 3.7 (to nearest tenth)

Working:
7/17 = x/9
63 = 17x
x = 63/17
x = 3.7 (to nearest tenth)

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2 years ago

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2 years ago

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The variable y varies directly with x . If x=2 and y = −7, find y when x = −6.

suter [353]

Answer:

Step-by-step explanation:

X=2

Y=-7

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2 years ago

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This inequality has a symbol:

wlad13 [49]

Answer:

Because you can't divide by zero.

Step-by-step explanation:

If x = -2, it makes the denominator 0. This will result in the equation being undefined because you can't have zero in the denominator.

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2 years ago

If the point (a, b) is equidistant from the points (-a, 2) and (2, -b), then prove that 3(a+b)+4=0

erastova [34]

Answer: see proof below

Step-by-step explanation:

Since (a, b) is equidistant from (-a, 2) and (2, -b), then it is the midpoint of the those two points. Use Midpoint formula to find (a, b).

$M_x=\dfrac{x_1+x_2}{2}\qquad \qquad \qquad M_y=\dfrac{y_1+y_2}{2}\\\\\\a=\dfrac{-a+2}{2}\qquad \qquad \qquad \quad b=\dfrac{2-b}{2}\\\\\\2a=-a+2\qquad \qquad \qquad \quad 2b=2-b\\\\\\3a=2\qquad \qquad \qquad \qquad \qquad 3b=2\\\\\\a=\dfrac{2}{3}\qquad \qquad \qquad \qquad \qquad b=\dfrac{2}{3}$

3(a + b) - 4 = 0

$3\bigg(\dfrac{2}{3}+\dfrac{2}{3}\bigg)-4=0\\\\\\3\bigg(\dfrac{4}{3}\bigg)-4=0\\\\\\4-4=0\\\\0=0\qquad \text{TRUE!}$

Notice that I changed the equation to "negative 4" because the equation you provided did not make a true statement.

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2 years ago