Answer:
Step-by-step explanation:
We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).
First, recall that the equation of a circle is given by:
Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:
Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:
Solve for <em>r: </em>
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Simplify. Thus:
Finally, add:
We don't need to take the square root of both sides, as we will have the square it again anyways.
Therefore, our equation is:
Answer:
18,086.4 cubic units
Step-by-step explanation:
The volume of one such cylinder can be computed by multiplying the height by pi by the radius squared: 3×3.14×4²=150.72.
If you want to make 120 candles, multiply that number by 120: 150.72×120=18086.4.
Answer:
(-1,9)
Step-by-step explanation:
y = -3x + 6
y = 9
-3x + 6 = 9
-3x = 3
x = -1
y is already given as 9, but you can solve for y by plugging the x value into y = -3x + 6,
-3(-1) + 6 = 9
(-1,9)
Answer:
26/36 numbers are greater than 10
Simplify
13/18
Multiply by the chance of getting tails
13/18 x 1/2 = 13/36
13/36 your answer
26 wanted numbers / 36 amount of numbers
1 tails / 2 sides
Step-by-step explanation:
