Answer: L = 29cm
Step-by-step explanation:
Let's go!!
To find any rectangle area, you have to apply this formula: A = L . w , where L is the length and w is the width.
So, we have w = L - 13 (the width is 13 less than the Length) and then, perimeter is 90 cm.
Well, I hope you remember that the perimeter of rectangle is 2L + 2W. In this case, 2L + 2w = 90
Then, you might to solve this system of equation:
2L + 2w = 90
w = L - 13
Simplifying the first equation, you'll have L + w = 45 (you can divide everything of 2).
Our new system:
L + w = 45
w = L - 13
Using the substituition method:
L + L - 13 = 45
2L = 58
L = 29 cm
the width is 29 - 13 = 16 cm
Answer:

Step-by-step explanation:
<u>Given functions</u>:


Solve for p(x) = r(x):

As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:
<u>Quadratic Formula</u>

Therefore:

Substitute the values of a, b and c into the <u>quadratic formula</u> and solve for x:

Therefore, the solutions are:

Learn more about quadratic equations here:
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Answer:
4/6 or 2/3.
Step-by-step explanation:
You need to multiply 1/2 by 3/3 so you can can the denominater having a 6.
It should be the point of tangency.
Answer:
y=16
Step-by-step explanation: