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OlgaM077 [116]
3 years ago
14

The center of a circle is at (−3, 1) and its radius is 9. What is the equation of the circle?

Mathematics
1 answer:
jek_recluse [69]3 years ago
7 0

If a circle has center (a,b) and radius r, the equation is

(x-a)^2+(y-b)^2=r^2

So, you have

(x+3)^2+(y-1)^2=81

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algol [13]

Answer: D

Step-by-step explanation:

5 0
2 years ago
9+3.5g=11-0.5g solve for g
Tanzania [10]

Answer:

g = 1/2

Step-by-step explanation:

Step 1: Add 0.5g to both sides

9 + 4g = 11

Step 2: Subtract 9 from both sides

4g = 2

Step 3: Divide by 4 on both sides

g = 2/4

Step 4: Simplify

g = 1/2

5 0
3 years ago
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6. An urn contains 15 red balls and 8 blue balls. In each draw, one ball is extracted at random. It is then returned to the urn,
Leviafan [203]

Answer:

P(C4) = 0.0711

Step-by-step explanation:

consider the first draw = 15/23  since it cannot be a blue ball

The second draw = 21/29 since 6 more red balls will be added after the draw since a blue ball cannot be drawn

the third draw = 27/35 since 6 more red balls will be added after each draw since a blue ball cannot be drawn

therefore the total number of red balls will be = 15 + 6 + 6 + 6 = 33 red balls after the 4th draw. the total ball now in the urn= 33 red + 4 blue = 41

Hence the probability of drawing a blue ball at the fourth draw after drawing red balls at the previous attempts = 8/41

P(C4) = P ( fourth ball is blue ) * P( first ball red)*P(second ball red) *P(third ball red )

= (8/41) * (15/23) * (21/29)* (27/35) = 0.0711

8 0
3 years ago
Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1, 3).
shusha [124]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x + 5y = 10 into this form

Subtract x from both sides

5y = - x + 10 ( divide all terms by 5 )

y = - \frac{1}{5} x +2 ← in slope- intercept form

with slope m = - \frac{1}{5}

• Parallel lines have equal slopes, hence

y = - \frac{1}{5} x + c ← is the partial equation of the parallel line

To find c substitute (1, 3) into the partial equation

3 = - \frac{1}{5} + c ⇒ c = \frac{16}{5}

y = - \frac{1}{5} x + \frac{16}{5} ← equation of parallel line

3 0
3 years ago
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Which expression is equivalent to ? Assume
stepan [7]

Answer:

b/a

Step-by-step explanation:

Given,(b^-2)/a*(b^-3)

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or,b/a

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3 years ago
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