The GCF we factor out is 4a
8ab = 4a*2b
16ac = 4a*4c
12a = 4a*3
Each term has been factored so that 4a is a factor
Using those factorizations, we can use the distributive property in reverse
8ab - 16ac + 12a = 4a*2b - 4a*4c + 4a*3
8ab - 16ac + 12a = 4a*(2b - 4c + 3)
Answer is choice A<span />
X= 18
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Answer:
4 inches should be turned up on both sides.
Step-by-step explanation:
In order to find this, create a situation in which we give the amount turned up on each side as x. Then give the amount that isn't turned up as 16 - 2x (since 2x is the amount turned up). Now we can find the area by multiplying the 3 measurements.
100 * x * (16 - 2x) = MAX
100 * (16x - 2x^2) = MAX
-200x^2 + 1600x = MAX
Now that we have a quadratic function, we can find the maximum value of x by using the vertex formula for x values (-b/2a).
x = -b/2a
x = -1600/2(-200)
x = -1600/-400
x = 4
If she stopped at 8;05, and she started 20 minutes earlier, just imaging a clock at 8:05 and turn back time 20 minutes.
Five minutes would be 8:00, ten minutes is 7:55, fifteen minutes is 7:50, and twenty minutes is 7:45. This, she started at 7:45
Angle on a straight line sums up to 180
so
72+x + x+130 = 180
2x = 180-72-130
2x =-22
x= -11
so Angle on the LHS is 61°
while angle on the RHS is 119°
