Answer:
The length is 16 ft, and the width is 3 ft.
Step-by-step explanation:
Let L = length & let W = width.
The perimeter of a rectangle is
P = 2(L + W)
The area of a rectangle is
A = LW
We know the perimeter and the area, so we substitute those values int he equations above and we switch sides in both equations.
Perimeter: 2(L + W) = 38
Divide both sides by 2:
L + W = 19
Area: LW = 48
We have a system of two equations in two unknowns:
L + W = 19
LW = 48
Solve the first equation for L and substitute it into the second equation.
L = 19 - W
(19 - W)W = 48
19W - W^2 - 48 = 0
Multiply both sides by -1, and rearrange the order of the terms.
W^2 - 19W + 48 = 0
(W - 16)(W - 3) = 0
W - 16 = 0 or W - 3 = 0
W = 16 or W = 3
Use W = 3 to find L
L = 19 - W
L = 19 - 3
L = 16
Answer: The length is 16 ft, and the width is 3 ft.
Answer:
x = 0
Step-by-step explanation:
ln x + 5, similarily to ln x, has no right asymptote, because it goes to infinity (very slowly), but also any line y=ax+b raises faster than ln x for positive a.
It has a left asymptote though - ln x deacreases very fast as x approaches 0, so it has a vertical asymptote of x = 0.
Answer:
Step-by-step explanation:
A
since .75 = 3.4
and 4 is a whole number
Think of two numbers that multiply to give 6 and add or take-away to give 1. Hmmm... Well 3 and 2 will work because their difference is 1 and 3 x 2 = 6 so now we need to think about the signs. We have
x²-x-6 = (x _ 3)(x _ 2).
When we times them together we get -6. To get a minus, one needs to be a + and the other needs to be a -. We need to get them to add to -1 so we can choose
I) 3-2 = 1 (nope)
II) 2-3 = -1 (yeah)
so it must be -3 and +2. This gives x²-x-6 = <span>(x - 3)(x + 2).</span>
10%? Im not sure if this is the right answer
