Answer:The area of a circle is pi times the radius squared (A = π r²)
Step-by-step explanation:The area of a circle is pi times the radius squared (A = π r²)
Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
The believe the answer would be D.
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➷ 2) The integral of a constant follows this rule:
adx = ax
In this case, it is 1dx = 1x
This can be simplified to just x
Add a constant to this, to get the final answer of:
x + C
3) The integrals power rule is:
Substitute the values in:
This can be simplified to:
Add a constant to this to get the final answer of:
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Answer:
6x2 + 9x - 15
Step-by-step explanation:
All you have to do is multiply 3(2x2 + 3x - 5)
When you distribute, you will multiply 3 by 2x2, which is 6x2. 3 by 3x, which is 9x. And 3 by -5, which is -15. Then you can just write them all in order because none of them are like terms that you can combine.
