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3 years ago

Determine the equation of the circle graphed below.

Mathematics

1 answer:

Wittaler [7]3 years ago

6 0

Answer:

(x - 6)^2 + (y + 4)^2 = 4

Step-by-step explanation:

formula for a circle

( x - h )^2 + ( y - k )^2 = r^2

(h,k) is the center

r is the radius

(6,-4) is center

2 is radius

Substitute in numbers and watch the negatives.

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2(x + 7) + 3x = 12 What is the first step in solving this equation for x?

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2(x + 7) + 3x = 12

step 1:
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4 years ago

Two complementary angles are represented by x and x+14 . find the value of x

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Answer:

$x=38\textdegree$

Step-by-step explanation:

Remember that complementary angles always add up to 90°.

We know that the two complementary angles are represented by (x) and (x+14). In other words:

$(x)+(x+14)=90$

So, let's solve for x.

First, combine like terms:

$2x+14=90$

Let's isolate the x by subtracting 14 from both sides:

$(2x+14)-14=(90)-14$

The left cancels. Subtract on the right:

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Divide both sides by 2:

$\frac{2x}{2}=\frac{76}{2}$

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3 years ago

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What is the probability that a student selected at random is a boy?

rjkz [21]

Answer:

Pr(B) = 0.69

Pr(J/B) = 0.35

Pr(J∩B) = 0.14

Pr(G/J') = 0.66

Pr(G) = 0.31

Step-by-step explanation:

Applying,

Pr = possible outcome (a)/Total outcome(t)

(1) Pr(B) = a/t............ Equation 1

From the diagram

Given: a = 220+65+35 = 320, t = 220+65+35+145 = 465

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(5) Pr(G) = 145/465

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