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Nikitich [7]
4 years ago
13

A circle is graphed with its center on the origin.The area of the circle is 49 square units.What are the coordinates of the x-in

tercepts of the graph? Round to the nearest tenth
Mathematics
1 answer:
neonofarm [45]4 years ago
3 0

Answer:

3.95 and -3.95

Step-by-step explanation:

To graph a circle you can use the formula or (x – h)^2 + (y – k)^2 = r^2. So substituting in the given, we get x^2+y^2=49/pi. The x intercept is when y=0. So x^2=49/pi and so

x = sqrt(49/pi) and rounding to the nearest tenth, we get 3.95 and -3.95 because it isn’t a principal square root.

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A pool drains 5000 gallons of water over the course of 5 hours. How many gallons of water, on average, does the pool drain each
Dmitry [639]

Answer:

D. 1000 gallons per hour

Step-by-step explanation:

5000 / 5 = 1000

6 0
3 years ago
Read 2 more answers
How do I solve for a, b and c?
Naya [18.7K]
Firstly expand (x - 3)(ax^2 + bx + c):
ax^3 + bx^2 + cx - 3ax^2 - 3bx - 3c

Now rearrange it so that it's in the form ax^3 + bx^2 + cx + d:
ax^3 + (b-3a)x^2 + (c-3b)x - 3c

Now we can compare both equations:
ax^3 + (b-3a)x^2 + (c-3b)x - 3c = 2x^3 - x^2 - 19x + 12

We get:
(1) a = 2
(2) b - 3a = -1
(3) c - 3b = -19
(4) -3c = 12

If we substitute (1) into (2) we get:
b - 3*2 = -1
b - 6 = -1
b = 5

Now if we solve (4) we get:
-3c = 12
c = -4

Therefor a = 2, b = 5 and c = -4
8 0
3 years ago
Help
Mariulka [41]

The larger number is 120 and the smaller number is 80
4 0
3 years ago
Rename the number. 720=----------tens
bonufazy [111]
720 is 72 tens.
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3 0
3 years ago
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What is the slope, m, and the y-intercept of the line that is graphed below? On a coordinate plane, a line goes through points (
salantis [7]

Answer:

m = 1; (0, 3) is the correct answer.

Step-by-step explanation:

The general equation of a line is given by:

y=mx+c

where, m is the slope of line

c is the y-intercept and

(x,y) are the points from where the line passes.

We are given that the line passes through 2 points (-3,0) and (0,3).

Putting the values of (x,y) in the equation of line.

Putting (0,3):

3 = m \times 0 + c\\\Rightarrow c =3

So, y-intercept is (0,3).

Hence, equation of line becomes:

y = mx + 3

Putting (-3,0) in y = mx + 3:

0 = m(-3) +3\\\Rightarrow 3m = 3\\\Rightarrow m =1

So, the equation of line becomes:

y = x +3

Please find attached graph.

m = 1; y intercept (0, 3) is the correct answer.

5 0
3 years ago
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