Answer:
Length = 10.435 inches
Step-by-step explanation:
Let the length be l
Let the width be w
Since the length is 9 inches more than half the width.
Then;
L = 0.5w + 9
Perimeter of a rectangle is;
P = 2Lw
Thus;
P = 2w(0.5w + 9)
Since perimeter = 60
Then;
2w(0.5w + 9) = 60
w² + 18w = 60
w² + 18w - 60 = 0
From quadratic formula;
w ≈ 2.87 in
L = 0.5(2.87) + 9
L = 10.435 in
Answer:
x = 4
Step-by-step explanation:
Step 1: Write equation
-2x + 1 = -4x + 9
Step 2: Solve for <em>x</em>
- Add 4x to both sides: 2x + 1 = 9
- Subtract 1 on both sides: 2x = 8
- Divide both sides by 2: x = 4
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-2(4) + 1 = -4(4) + 9
-8 + 1 = -16 + 9
-7 = -7
Answer:
1620 which isn't there so I'm probably wrong but maybe c or a
Step-by-step explanation:
all we do is 36(37+8) and first we do 37 plus 8 that's 45 so 45×36
Answer:
It depends on the situation being modeled.
Step-by-step explanation:
Assuming the vertex (8.33,236.67) is on a quadratic curve modeling height of an object in feet after t seconds.
Then t=8.33s is the time the object reached the maximum height.
The maximum height is the y-value of the vertex, which is 236.67 feet.
In this case the quadratic curve opens downwards.
The vertex is then the maximum point on this curve.
