Answer:
L=21.6in and w=13.6
Step-by-step explanation:
If the length is 8 inches longer than its width, we can write the width as "w" and the length as the width w+ 8
Area is (width)(Length) = (width)(width+8)
W
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A = (w+8)(w)
A = w2 + 8w = 295.
(Problem states that area is 295 sq in)
Need to solve this quadratic equation
w2 +8y - 295 = 0
Factor:
(w - 13.64) (w + 21.64) = 0
So
w - 13.64 = 0. or. w + 21.64= 0
Solve these and get
w = 13.64. or. w = -21.64
Only one that makes sense in real life is the poitive one.
So the dimensions are
Width = 13.64 inches
Length = 21.64 inches
Answer:
(0, -2) and (2, 0)
Step-by-step explanation:
The solution to a systems of equations is when the x and y values are equal for two equations. This can also been seen as when the two equations intersect. So by looking at the graph you see the line and the circle intersect at the point (2, 0) and (0, -2) which are going to be the two solutions to the systems of equations.
Lee has 120 dollars form his Birthday, and with his weekend job he gets 60 dollars an hour.
Answer: the answer is x the mitochondria
Step-by-step explanation:
The answer to this question depends on whether x and y are directly or inversely related.
Since you have not provided the relation between the two variables, I will provide the answer in both cases.
1- In case x was directly proportional to y:
This means that as x increases, y increases and vice-versa.
Translating this into an equation, we would get the following:
y = kx
where k is the constant of proportionality.
Now, we are given that:
y = -8 at x = 12
Substitute with these givens in the above equation to get k as follows:
-8 = k * 12
k = -8/12
k = -2/3
2- In case x was inversely proportional to y:
This means that as x increases, y decreases and vice-versa.
Translating this into an equation, we would get the following:
y = k / x
where k is the constant of proportionality.
Now, we are given that:
y = -8 at x = 12
Substitute with these givens in the above equation to get k as follows:
-8 = k / 12
k = -8*12
k = -96
Hope this helps :)
