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artcher [175]
3 years ago
7

An oil slick is expanding as a circle. The radius of the circle is increasing at the rate of 20 meters per day. Express the area

of the circle as a function of d, the number of days elapsed.
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0
The circle expands it radius 20m each day. From this description you can get this equation:
r=0+ 20*d
r=20d

The oil slick expands as a circle and the formula for circle area is \pi r^2.  If you insert the first equation into this equation you will got:
circle area = \pi r^2
circle area = \pi (20d)^2
circle area = \pi 400*d^2
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Answer:

Continuous

Step-by-step explanation:

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The relationship between hours and miles the water traveled is continuous.

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2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of
marin [14]

Answer:

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Step-by-step explanation:

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3 years ago
-5/4x - 2)=-2(3 +6x)
Alex

Answer:

x = (-16)/43

Step-by-step explanation:

Solve for x:

(-5 x)/4 - 2 = -2 (6 x + 3)

Put each term in (-5 x)/4 - 2 over the common denominator 4: (-5 x)/4 - 2 = (-5 x)/4 - 8/4:

(-5 x)/4 - 8/4 = -2 (6 x + 3)

(-5 x)/4 - 8/4 = (-5 x - 8)/4:

(-5 x - 8)/4 = -2 (6 x + 3)

Multiply both sides by 4:

(4 (-5 x - 8))/4 = -2×4 (6 x + 3)

(4 (-5 x - 8))/4 = 4/4×(-5 x - 8) = -5 x - 8:

-5 x - 8 = -2×4 (6 x + 3)

4 (-2) = -8:

-5 x - 8 = -8 (6 x + 3)

Expand out terms of the right hand side:

-5 x - 8 = -48 x - 24

Add 48 x to both sides:

48 x - 5 x - 8 = (48 x - 48 x) - 24

48 x - 48 x = 0:

48 x - 5 x - 8 = -24

48 x - 5 x = 43 x:

43 x - 8 = -24

Add 8 to both sides:

43 x + (8 - 8) = 8 - 24

8 - 8 = 0:

43 x = 8 - 24

8 - 24 = -16:

43 x = -16

Divide both sides of 43 x = -16 by 43:

(43 x)/43 = (-16)/43

43/43 = 1:

Answer:  x = (-16)/43

8 0
3 years ago
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VARVARA [1.3K]

Answer:

C and D

Step-by-step explanation:

As determinant of this quadratic equation is given by-

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Which fraction has a numerator of 9 and a denominator of 13?
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the numerator goes on the top

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