Answer:

Step-by-step explanation:
<u>Quadratic Formula</u>

<u>Given quadratic equation</u>:

<u>Define the variables</u>:

<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:



Therefore, the exact solutions to the given <u>quadratic equation</u> are:

Learn more about the quadratic formula here:
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Answer:
C = 62.8 m
Step-by-step explanation:
The circumference formula is C = πd.
Here d = 20 m. Therefore, the circumference of this circle is C = (20 m)π.
To the nearest 10th, we round off C = (20 m)(3.14159) = C = 62.8 m
Answer:
V(cylinder) = πr²h
h=3 cm
r=2 cm
V(cylinder) = πr²h = π*2²*3 =12π cm³
Answer : 12π cm³.
Answer:
{-3/2, 4}
Step-by-step explanation:
Use synthetic division here. If the remainder is 0, then the divisor is a root or solution.
Here we have x = -4. Perform the synthetic division as follows:
-4 4 -10 -24
-16 108
------------------------------
4 -26 84 The remainder is 84, which tells us -4 is NOT
a root/solution.
Try -3/2 as divisor this time:
-3/2 4 -10 -24
-6 24
------------------------------
4 -16 0 Remainder is 0, so -3/2 is a solution
Show in the same manner that 4 is a solution also. Or determine whether x - 4 satisfies 4x - 16 = 0 (it does).
Answer:
b
Step-by-step explanation:
11 * 10 equals 110
3 * 2 equals 6
110 - 6 = 104