Answer:
a. (-∞, ∞)
b. (-∞, 4]
c. (-4,0) and (4,0)
d. (0, 1)
e. x = -∞ to x = 2, x = 0 to x = 3
f. x = x = 2 to x = 0, x = 3 to x = ∞
g. relative maximum at points (-2, 4) and (3, 2)
h. relative maximum of f is 4. There is an other relative maximum at xf = 2
f.
Step-by-step explanation:
Answer:
1900 ft
Step-by-step explanation:
To find the area where roses will be planted, find the area of the 2 triangles. 60×38 divided by 2 = 1140ft. 40×38 divided by 2 = 760. 760+1140=1900
Answer:
A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
Step-by-step explanation:
Remark
The key to this problem is finding the length of the hypotenuse of the 45o - 45o - 90o triangle. After than you can use the tangent to find x
Step One
Find the hypotenuse of the 45o - 45o - 90o right triangle
Use the fact that in this triangle, the two smaller sides of the triangle are equal.
They have a value of x. Since they are given as 12 we can solve for the hypotenuse.
Formula
a^2 + b^2 = c^2
Givens
a = 12
b = 12
c = ?
Sub and solve.
12^2 + 12^2 = c^2 Take out the common factor of 12^2
c^2 = 12^2 * (1 + 1)
c^2 = 2* 12^2 Take the square root of both sides.
sqrt(c^2) = sqrt(2 * 12^2)
sqrt(c^2) = sqrt(2) * sqrt(12^2)
sqrt(c) = 12 sqrt(2)
Step Two
Now use the 30 - 60 - 90 triangle to solve for x
The opposite side to the 60o angle is 12 sqrt(2)
Tan(60) = opposite / adjacent
Tan(60) = 12 sqrt(2) / adjacent
Tan(60) = sqrt(3)
adjacent = 12*sqrt(2)/sqrt(3)
Rationalize the denominator
adjacent = 12*sqrt(2) * sqrt(3) / (sqrt(3) * sqrt(3))
adjacent = 12*sqrt(6) / 3
adjacent = 4 sqrt(6)
Answer : D
Answer:
if a cube has a volume of 8 it has a side length of 2 so the answer is 2