Answer:
B.(x-6)
Step-by-step explanation:
12/(x^2 - 11x+30) - 43/(x^2-6x)
12/((x - 5) (x - 6)) - 43/x(x-6) [Factoring the denominator]
Both have x-6 common in the denominator,
First you have to have the absolute value isolated so the 2 has to be divided. Then set up the two cases and solve.
Step-by-step explanation:
Area = pi × r²
144 pi cm² = pi × r²
144 pi ÷ pi = r 2
root 144 = r
12 cm = r
diameter = 2r = 2(12) = 24 cm
1) The equation that can be used to describe this situation is; a + 2a + 1 + 5a = d
2) The equation that can be used to describe this situation is; a = 2b + 800
<h3>How to solve Algebra Word Problems?</h3>
Length of original piece = d
length of first piece = a
The second piece is twice as long as the first piece. Thus;
Length of second piece = 2a
The third piece is one inch more than five times the length of the first piece. Thus;
Length of third piece = 1 + 5a
Thus, equation for total length is;
a + 2a + 1 + 5a = d
2) State A produced 800 million pounds of apples more than twice the amount of apples in State B.
If a represents the amount of apples grown in State A and b represents the amount of apples grown in State B, then we have;
a = 2b + 800
Read more about Algebra Word Problems at; brainly.com/question/4344214
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Area of a trapezoid: 1/2(a + b)*h, where a and b are the lengths of the two bases of a trapezoid and h is the height.
Plug 22 and 44 for a and b, respectively. Plug 15 for h.
1/2(22 + 44)*15
1/2(66)*15
1/2(990) = 495
b) 495 in²