Given:
To find:
The LCD of the fractions.
Solution:
LCD means least common denominator.
Let us find the least common multiplier for the denominator.
The denominators are .
Factor :
Take a common in first 2 terms and -6 common in next two terms.
Take out common factor (a - 1).
------------- (1)
Factor :
Using identity:
------------- (1)
From (1) and (2),
LCM of
Therefore LCD is (a - 1)(a - 6)(a + 6).
Answer:
x intercept is -3
Step-by-step explanation:
We need to find the equation for the line
First we find the slope
m = (y2-y1)/(x2-x1)
= (2- -4)/(6- -3)
= (2+4)/(6+3)
=6/9
= 2/3
The we can write the equation
y= mx+b
y = 2/3x +b
We can substitute in (6,2)
2 = 2/3(6) +b
2 =4+b
Subtract 4 from each side
2-4 =b
b =-2
y = 2/3 x-2
We want to find the x intercept, so set y =0 and solve for x
0 = 2/3x -2
Add 2 to each side
0-2 = 2/3x
Multiply each side by 3/2 to isolate x
-2 *3/2 = 2/3x * 3/2
-3 =x
The x intercept is -3
For the circle we can just do 7.5^2*3.14=176.625 because if you put the 2 semi circle you get a whole circle.
and if the diameter is 15 then the width of the rectangle is 15 so 28*15=420+176.625=596.625
Answer:
b
Step-by-step explanation:
B would make your answer true