Answer:
Method 1:
Find the Least Common Denominator (LCD) of all the denominators in the complex fractions.
Multiply this LCD to the numerator and denominator of the complex fraction.
Simplify, if necessary.
Method 2:
Create a single fraction in the numerator and denominator.
Apply the division rule of fractions by multiplying the numerator by the reciprocal or inverse of the denominator.
Simplify, if necessary.
Answer:
A =136 cm^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) *h where b1 and b2 are the lengths of the bases and h is the height
A = 1/2( 22+12) *8
A = 1/2 ( 34)*8
A =136 cm^2
Answer:
24 cubic inches.
Step-by-step explanation:
The volume of one cube = s * s * s or s^3
s = 2 inches
V = s^3
V = 2 * 2 * 2 or 2^3
V = 8 cubic inches.
The volume of 3 of them is 8*3 = 24 cubic inches.
Answer:
129
Step-by-step explanation:
Set each factor EQUAL to zero to find the zeroes (since it is not actually equal to zero, you will use an open circle when graphing and an open bracket when writing in interval notation).
x = 0 x-1 = 0 x + 4 = 0
x = 1 x = -4
Next, choose a value to the far left, between each of the zeroes, and to the far right to evaluate if it makes a true statement when input into the given inequality.
far left (I choose -5): -5(-5 - 1)(-5 + 4) > 0 → (-)(-)(-) > 0 → negative > 0 FALSE
- 4 to 0 (I choose -2): -2(-2 - 1)(-2 + 4) > 0 → (-)(-)(+) > 0 → positive > 0 TRUE
0 to 1 (I choose 0.5): .5(.5 - 1)(.5 + 4) > 0 → (+)(-)(+) > 0 → negative > 0 FALSE
far right (I choose 2): 2(2 - 1)(2 + 4) > 0 → (+)(+)(+) > 0 → positive > 0 TRUE
Answer: (-4, 0) U (1, ∞)
