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3 years ago

Solve the equation 5.4/12 = z/8

Mathematics

1 answer:

saul85 [17]3 years ago

6 0

Answer:

18/5

Step-by-step explanation:

5.4/12 = 1/8 is equivalent to (5.4)(1/12) = (z/8), or

(54/10)(1/12) = z/8.

The LCD is (10)(8)(12), or 120.

Mult. both sides by 120 yields 54 = 15z.

Dividing both sides by 15, we get z = 54/15 = 18/5 = z

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2 years ago

Use the distributive property to expand -4 (-2+3x). Which is an equivalent expression?

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Answer:

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2 years ago

Write the standard equation of the circle with center (-14, -3) that passes through the point (-5,3),

grin007 [14]

Answer:

$(x + 14)^2 + (y + 3)^2 = 117$

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center $(x_0,y_0)$ is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

In which r is the radius.

Center (-14, -3)

This means that $x_0 = -14, y_0 = -3$

$(x - x_0)^2 + (y - y_0)^2 = r^2$

$(x - (-14))^2 + (y - (-3))^2 = r^2$

$(x + 14)^2 + (y + 3)^2 = r^2$

Passes through the point (-5,3),

This means that when $x = -5, y = 3$ . We use this to find the radius squared. So

$(x + 14)^2 + (y + 3)^2 = r^2$

$(-5 + 14)^2 + (3 + 3)^2 = r^2$

$r^2 = 117$

So, the equation of the circle is:

$(x + 14)^2 + (y + 3)^2 = r^2$

$(x + 14)^2 + (y + 3)^2 = 117$

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2 years ago