Answer:
Step-by-step explanation:
x² + 6x + 9 = 12 → x² + 6x - 3
Since this Quadratic Expression is unfactorable, apply the <em>Quadratic</em><em> </em><em>Formula</em>:
√48 = √[3 × 16] = 4√3
½[4√3] = 2√3
Then attach half of -6 to it as well [-3]:
-3 ± 2√3
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Step-by-step explanation:
- 1⅔ < -¼
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Answer:
h(x)= x^2+11x+30
Step-by-step explanation:
A quadratic function is in the form h(x) = ax^2 + bx + c.
Since the zeros are -6 and -5, take the opposite signs and add them to the variable x separately.
It should look like this: h(x)= (x+6)(x+5)
Since this is the factored form, we have to solve this equation further.
h(x)= (x+6)(x+5)
h(x)= x^2+6x+5x+30
h(x)= x^2+11x+30
Answer:
O lines and line t Intersect at Point P
Answer:
Step-by-step explanation:
Let's calculate the volume of the tank per each meter in height.
The volume of a cylinder is πr²h, where h is the height.
A height of 1 meter in a tank with a radius of 5 meters would hold a volume of:
Vol = (3.14)*(5 meters)^2 *(1 meter)
Vol (m^3) = 78.54 m^3 per 1 meter height.
If the tank were filled at a rate of 3 m^3/min, it would rise at at a rate of:
(78.54 m^3/meter)/(3 m^3/min) = 0.0382 meters/minute [38.2 cm/min
