A rectanglar swimming pool is three times as long as it is wide. If the perimeter of the soccer feild is 300 yards, what are the
1 answer:
Answer:
The dimension of the rectangular pool is
Step-by-step explanation:
Given : A rectangular swimming pool is three times as long as it is wide. If the perimeter of the soccer field is 300 yards.
To find : What are the dimensions?
Solution :
Let the width of the rectangular pool be 'x'.
A rectangular swimming pool is three times as long as it is wide.
The length of the pool be '3x'
The perimeter of the rectangular swimming pool is
The perimeter of the soccer field is 300 yards.
Substitute the value in the formula,
The width of the pool is x=37.5 unit
The length of the pool is
Therefore, The dimension of the rectangular pool is
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The vertex-form equation is
y = a(x+1)² -16
Putting in the y-intercept values, we have
-15 = a(0+1)² -16
1 = a . . . . . . . . . . . add 16
Then the x-intercepts can be found where y=0.
0 = (x+1)² -16
16 = (x+1)²
±4 = x+1
x = -1 ± 4 = {-5, 3}
y = a(x+1)² -16
Putting in the y-intercept values, we have
-15 = a(0+1)² -16
1 = a . . . . . . . . . . . add 16
Then the x-intercepts can be found where y=0.
0 = (x+1)² -16
16 = (x+1)²
±4 = x+1
x = -1 ± 4 = {-5, 3}
Answer:
Step-by-step explanation:
Hello,
It means that
And we know that
So we got two equations
For
For
I assume that we are after two different roots so the solution for p is p=-11
b)
So a quadratic equation with the expected roots is
Hope this helps.
Do not hesitate if you need further explanation.
Thank you