Time-and-a-half doesn't make enough sense to answer the question. If you fix it, or comment below the correction I will gladly help.
Answer: A) y= -1/2x+5
Step-by-step explanation: If the line is perpendicular to the original, the new "m" (coefficient of x) has to be the negative reciprocal of the original "m"
Answer:
<h3>
The width (side perpedicular to the barn):
<u>x = 8 m</u></h3><h3> The lenght (side parallel to the barn):
<u>y = 16 m</u> </h3>
Step-by-step explanation:
x - the width of the barn
She has 32 m of fencing so for the lenght remain (32-2x) m of fencing:
y = 32 - 2x
Area of the fencing: A = x•y
A(x) = x•(32 - 2x)
A(x) = -2x² + 32x ← quadratic function
The maximum value of quadratic function occurs at: 
a = -2, b = 32
32-2x = 32 - 2•8 = 16
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
If Ali has x cards, then Belinda has 2x cards.
If Ali has x cards, then Charlie has x+5 cards.
2x (Belinda) + x+5 (Charlie) + x (Ali) = 33 (total)
2x + x+5 + x = 33
Now simplify the equation... x+x+5 can be simplified as 2x+5.
2x+5 plus 2x can become 4x+5.
So their total number is 4x+5.
So 4x+5=33.
You want to isolate the variables and numbers.
To remove the 5 from the left side, subtract 5 from both sides.
4x+5-5=4x - 33-5=28
So the equation now is 4x=28
To remove the 4, divide each side by 4.
4x÷4=x - 28÷4=7
So x equals 7, Ali has 7 cards.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
