2x + 2y=132
xy=1080
Let x=1080/y
2160/y + 2y=132
2y^2 - 132y +2160=0
2(y^2-66y+1080)=0
2(y-30)(y-33)=0
y=30 or y=33
(36,30) or (30,36)
So... x=30,36 and y=36,30. Either way, the answer is 30 by 36 or 36 by 30.
Answer:
128 dollars
Step-by-step explanation:
You would multiply 60 (that's the percentage off) by 320 ( the price of the T.V) and then subtract the answer you got from multiplying the two from the original price of the T.v (320)
Hope this helps
Answer:
x = 7 is the answer for the smaller number
7 + 1 = 8 is the answer for the larger number
Step-by-step explanation:
LET x and x+1 be the two numbers here, as your hint suggests.
5x + 3(x+1) = 59
5x + 3x+3 = 59
8x = 59-3
8x = 56
/8 /8
--------------------------
x = 56/8 ---> x = 7
x = 7 is the answer for the smaller number
7 + 1 = 8 is the answer for the larger number
Check:
5 * 7 + 3 * 8 = 59
35 + 24 = 59
59 = 59 CORRECT
Answer:
(1, - 6 )
Step-by-step explanation:
Given the 2 equations
y = x - 7 → (1)
y = - 4x - 2 → (2)
Substitute y = x - 7 into (2)
x - 7 = - 4x - 2 ( add 4x to both sides )
5x - 7 = - 2 ( add 7 to both sides )
5x = 5 ( divide both sides by 5 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting x = 1 into (1)
y = 1 - 7 = - 6
Solution is (1, - 6 )
Answer:
Parallel - 8
Perpendicular - -1/8
Step-by-step explanation:
If a line is parallel to another then they have the same slope
If a line is perpendicular to another line then the slope is just flipped and so is the sign
