Step-by-step explanation:
length = width + 4
length×width = 77
using the first in the second equation
(width + 4)×width = 77
width² + 4width = 77
now, what square or squaring factors can create this ?
we are looking for (width + a)(width + b).
we know, this is
width² + (a+b)width + ab
so, what a, b can create 4 (the factor in our actual equation) ?
1, 3 and 2, 2, if we are only looking at whole numbers.
and which of the possibilities can we use to turn 77 into a square number ?
81 is only 4 away ...
2+2 = 4.
aha !
so, we can actually say our equation is
width² + 4width + 4 = 77 + 4
and then
(width + 2)² = 81
width + 2 = 9
width = 7 m
length = width + 4 = 7 + 4 = 11 m
Answer:
x = - 8 , x = 2
Step-by-step explanation:
the absolute value function always gives a positive result, however, the expression inside can be positive or negative, , that is
x + 3 = 5 ( subtract 2 from both sides )
x = 2
or
-(3 + x) = 5
- 3 - x = 5 ( add 3 to both sides )
- x = 8 ( multiply both sides by - 1 )
x = - 8
Steve = S , Tom = T
1) S+T = 7777
2) S= 1414 + 2T
put 2) in 1)
1414+2T + T = 7777
1414 +3T = 7777
3T = 6363
so T = 2121
then Steve sold 1414+2(2121) = 1414+4242=5656 tickets
while Tom sold 2121 tickets
The Answer is
X=10
Explanation: