The sum of a number and 2
x + 2
is twice the number
2x
answer
<span>x + 2 = 2x</span>
Answer:
(36π -72) cm²
Step-by-step explanation:
The area of a segment that subtends arc α (in radians) is given by ...
A = (1/2)r²·(α - sin(α))
Here, you have r = 12 cm and α = π/2 radians, so the area of the segment is ...
A = (1/2)(12 cm)²·(π/2 -1) = (36π -72) cm²
Answer:
Step-by-step explanation:
If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?
f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15
f(1) = 2 - 15 + 22 + 15
f(1)= 24.
No the result is not zero. So x - 1 is not a factor.
However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.
The numbers that do make this zero are -0.5, 3, 5
Which mean that the factors are (2x+1)(x-3)(x - 5)
Answer:
decrease by 2
Step-by-step explanation:
6/3 = 2
6>3, then it must be a decrease
Answer:
= (3t+2)(3t-2)(3t-4)
Step-by-step explanation:
Given the expression 27t^3 - 36t^2 - 12t + 16
On factoring:
(27t^3 - 36t^2) - (12t + 16)
= 9t²(3t-4)-4(3t-4)
= (9t²-4)(3t-4)
factoring 9t²-4
9t²-4 = (3t)² - 2²
From different of two square, a²-b² = (a+b)(a-b)
Hence (3t)² - 2² = (3t+2)(3t-2)
= (9t²-4)(3t-4)
= (3t+2)(3t-2)(3t-4)
Hence the factored form of the expression is (3t+2)(3t-2)(3t-4)