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Ket [755]
3 years ago
14

Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?

Mathematics
1 answer:
Shalnov [3]3 years ago
6 0

Answer:

Step-by-step explanation:

The general equation of the circle is:

(x-h)²+(y-k)²=r²

(h, k)=(-3,-5)  are the coordinates of the center of the circle.

r=6  is the radius

The equation of the circle is:

(x+3)²+(y+5)² = 36

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When traveling to work, Cherise averages 60 miles per hour.Because of heavy traffic in the evening, she averages only 40 miles p
Slav-nsk [51]
<h3>Answer:  40 minutes</h3>

============================================================

Explanation:

The distance traveled is d = 80 miles.

When going to work, her speed is r = 60 mph. She takes t = d/r = 80/60 = 4/3 hours which converts to 80 minutes. Multiply by 60 to go from hours to minutes.

Notice how the '80' shows up twice (in "80 miles" and "80 minutes"). This is because traveling 60 mph is the same as traveling 1 mile per minute.

-----------------

Now as she's coming home, her speed becomes r = 40 and she takes t = d/r = 80/40 = 2 hours = 120 minutes.

The difference in time values is 120 - 80 = 40 minutes.

Her commute back home takes 40 more minutes compared to the morning drive to work.

4 0
3 years ago
Rosebwant to make extra money during the summer Rose pick up some extra shifts at works you earn $15 per hour and earn a total o
castortr0y [4]

Answer:

She worked 15 hours

Step-by-step explanation:

225$/15 hours = 15 bucks an hour

6 0
2 years ago
Solve for x: |3x + 12| = 18
Alla [95]

Answer:

X = 2 or X = -10

Step-by-step explanation:

We know either3x+12=18or3x+12=−18

3x+12=18(Possibility 1)

3x+12−12=18−12(Subtract 12 from both sides)

3x=6

3x

3

=

6

3

(Divide both sides by 3)

x=2

3x+12=−18(Possibility 2)

3x+12−12=−18−12(Subtract 12 from both sides)

3x=−30

3x

3

=

−30

3

(Divide both sides by 3)

x=−10

Answer:

x=2 or x=−10

4 0
3 years ago
Factor completely: 3x2 + 12x + 7
zepelin [54]

Answer:

Step-by-step explanation:

Eliminate answer 4 immediately, because (4)(3) is not 7.

Look at answer 2:  7x + 3x = 10x, which does not match the middle term 12x in the original polynomial.  Eliminate answer 2.

Look at answer 1:  1x + 21x = 22x, which does not match the middle term of the original polynomial.   Eliminate answer 1.

All quadratics have solutions.  Let's apply the quadratic formula to 3x^2 + 12x + 7:  Here a = 3, b = 12 and c = 7, so that the discriminant b²-4ac is

12²-4(3)(7), or 144 - 84, or 60.  Being positive, this tells us that the given poly has two real, unequal roots:

      -12 ± √60        -12 + 2√15                     -12 - 2√15

x = ----------------- = -------------------  and   x = --------------------

            3                         3                                     3

Normally, if c is a root, then x - c is a factor.

If we try this here, however, the resulting factors do not at all match any of your answer choices.

Don't be offended...but please ensure you have copied this problem down correctly.

                                                           

3 0
3 years ago
5. Nobu ate of one pizza, Brandi ate half
iren2701 [21]

Answer:

Step-by-step explanation:

Is a bien de su coma

7 0
3 years ago
Read 2 more answers
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