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3 years ago

Question 8

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

3 0

Answer:

third choice of those listed here

Step-by-step explanation:

Match the given statement to the pattern:

if H, then C.

If you take a class in television broadcasting, then you will film a sporting event

You should be able to see ...

H: you take a class in television broadcasting

C: you will film a sporting event

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

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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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