Answer:
x = 4
Step-by-step explanation:
After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.
-3(4x +3) +4(6x +1) = 43 . . . . . . given
-12x -9 +24x +4 = 43 . . . . . eliminate parentheses
12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)
12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant
x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x
The solution is x = 4.
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<em>Check</em>
-3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x
-3(16 +3) +4(24 +1) = 43
-3(19) +4(25) = 43
-57 +100 = 43 . . . . . true
Y= 11-2x
Substitute in:
5x-2(11-2x)=-13
5x-22+4x=-13(combine like-terms)
9x-22=-13
9x=-13+22
9x=9
x=1
Answer:
2.5 ft
Step-by-step explanation:
A rectangular prism's volume is given by it's base area multiplied by it's height:
In this problem, we are given the volume and the base area, so we need to solve for h:
The units are feet, so the answer is 2.5 ft.
AB = 24
BC = 45
AC = 51
cos C = adjacent / hypotenuse
cos C = BC / AC
cos C = 45/51
