Area = Width x Length
Area = 108
Square root of 108 = 10.4
108/ 9 = 12 ...12 is not 12 larger than 9
108/ 6 = 18 ...18 is 12 larger than 6
108 = 6 x 18
Width = 6
Length = 18
Answer:
f(x + 1) = 2x² + 4x + 5
Step-by-step explanation:
Step 1: Plug in (x + 1) in as <em>x</em> in f(x)
f(x + 1) = 2(x + 1)² + 3
Step 2: Expand and distribute
f(x + 1) = 2(x² + 2x + 1) + 3
f(x + 1) = 2x² + 4x + 2 + 3
f(x + 1) = 2x² + 4x + 5
Answer:
48π
Step-by-step explanation:
Volume of cylinder = πr^2l
Recall that a circle of radius 2 centered at the origin has equation
where the positive root gives the top half of the circle in the x-y plane. The definite integral corresponds to the area of the right half of this top half. Since the area of a circle with radius
is
, it follows that the area of a quarter-circle would be
.
You have
, so the definite integral is equal to
.
Another way to verify this is to actually compute the integral. Let
, so that
. Now
Recall the half-angle identity for cosine:
This means the integral is equivalent to
Answer: the equation is
4x^2 + 4x - 12
Step-by-step explanation:
A quadratic equation is an equation in which the highest power of the unknown is 2.
The general form of a quadratic equation is expressed as
ax^2 + bx + c
Where
a is the leading coefficient
c is a constant
Assuming we want to write the quadratic equation in x, from the information given, the roots which are given are -2 and 1 and the leading coefficient is 4.
Therefore, the linear factors of the quadratic equation will be (x+2) and (x-1)
the equation becomes
(x+2)(x-1)
= x^2 - x +2x - 3
= x^2 + x - 3
Given a leading coefficient of 4, we will multiply the quadratic expression by 4. It becomes
4(x^2 + x - 3)
= 4x^2 + 4x - 12
