Irene paid $40 more of her cell phone bill in July then in June and August she paid $10 less than her June bill if she paid a to
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Answer:
Part A : D.)
Part B : Length of the sandbox is 10 feet.
Step-by-step explanation:
Given,
Perimeter = 29 ft
We need to find the equation for the perimeter and also the length of the sandbox.
Solution,
Let the width of the sandbox be 'w'.
Now as per question said;
The length of the sandbox is 1 foot longer than twice the width of the sandbox.
So we can say that;
Length =
Now we know that the perimeter is equal to the sum of twice of length and width.
framing in equation form, we get;
Perimeter =
we have given the perimeter, so on substituting the value, we get;
Hence The equation used to find the width is .
Now we solve for 'w'.
Applying distributive property, we get;
Subtracting both side by '2' we get
Dividing both side by 6 we get;
Width of the sandbox = 4.5 ft
Length of the sandbox =
Hence Length of the sandbox is 10 feet.
Answer:
(- 7, - 4 )
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the turning point is
x = -
y = x² + 14x + 45 ← is in standard form
with a = 1, b = 14 , then
x = - = - 7
Substitute x = - 7 into the equation and evaluate for y
y = (- 7)² + 14(- 7) + 45 = 49 - 98 + 45 = - 4
coordinates of turning point = (- 7, - 4 )