Answer:
In the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28
Step-by-step explanation:
Given equation is -14(3a+6)=12(6-4a)+12
To simplify the given equation:
-14(3a+6)=12(6-4a)+12
Taking all terms to one side
-14(3a+6)-12(6-4a)-12=0
-[14(3a+6)+12(6-4a)+12]=0
Now dividing by negative sign on the above equation we get
14(3a+6)+12(6-4a)+12=0 (using distributive property)
42a+84+72-48a+12=0 ( adding the like terms )
-6a+168=0
-6a=-168
6a=168

Therefore a=28
Therefore in the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28
Since the base is 3 inches and the height is 4 inches, as well as the area of a triangle being base*height/2, we get 3*4/2=6 in. for each triangle. Since we need 20 pieces for each puzzle, we multiply 6 by 20 to get 120. In addition, since 80 puzzles are needed, with 20 pieces for each puzzle, we have 120 inches for each puzzle and 120*80 = 9600 square inches of wood used
Answer:
4²¹/5⁶ or 4398046511104/15625
Step-by-step explanation:
Remember, when raising a term with an exponent to some power, you must multiply the powers.

Answer:
The x-intercept is 
The y-intercept is 
Step-by-step explanation:
Suppose you have a function f:

The x-intercept is the value of x when
.
The x-intercept is the value of y when
.
Solution
We have:


x-intercept
The x-intercept is the value of x when
. So:

*(-1)




The x-intercept is 
y-intercept
The y-intercept is the value of y when
. So:





The y-intercept is 