Answer:
diameter
circumference
diameter
Step-by-step explanation:
First, find the length of the diameter (d) and the length of the circumference of the circle (c).
Next, divide the length of the circumference c by the length of the diameter d and set up an equation
where the ratio equals to (the definition of
)
Then, solve the equation for the circumference c:
Finally, substitute 2 times the radius for the diameter
Answer:
Step-by-step explanation:
I find a graphing calculator very helpful to solving radical equations. It helps avoid extraneous solutions.
<u>top</u>
√(-14x +2) = x -3
-14x +2 = x² -6x +9 . . . . . square both sides
x² +8x +7 = 0 . . . . . . . . . .subtract the left side
Descartes' rule of signs tells you this has no positive real solutions. (There are no sign changes among the coefficients.) The value of the radical will be non-negative, so we must have x-3≥0, or x≥3. Since there are no positive real solutions to the quadratic, there are no values of x≥3 that will satisfy the equation. NO SOLUTION
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<u>bottom</u>
4√(x -3) = 8 . . . . . given
√(x -3) = 2 . . . . . . divide by 4
x -3 = 4 . . . . . . . . . square both sides
x = 7 . . . . . . . . . . . add 3
