Answer:
The height of the arch 50ft from the center is 97ft
Step-by-step explanation:
A bridge over a gorge is supported by an arch in the shape of a semi-ellipse
The length of the bridge is 400 ft. and the maximum height is 100 ft
so, a=200ft
b=100ft
(a)
we can draw picture
(b)
now, we can use equation of ellipse formula

now, we can plug
a=200
b=100

we can plug x=50 and find y



The polynomial expression that represents AB + C in simplest form is: x³ + 3x² + 3x - 1.
<h3>What are Polynomials?</h3>
Polynomials are algebraic expressions having variables and constants, and may include exponents.
AB + C would be expressed as:
(x + 1)(x² + 2x - 1) + 2x
Expand
x(x² + 2x - 1) +1(x² + 2x - 1) + 2x
x³ + 2x² - x + x² + 2x - 1 + 2x
x³ + 3x² + 3x - 1 (simplest form)
Learn more about polynomials on:
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Answer:
26.37
Step-by-step explanation:
Apparently, we're to substitute 9 for 4 and recompute:
26.37 = (2.93)9
____
This assumes that the 4 in the expression is the number of boxes, and the (2.93) in the expression is the price per box. The product of those numbers is 11.72, apparently the total cost of 4 boxes of nails.
Answer:
Firstly, we know that both are parallelograms, if you rotate a little, and both have the same angles in the parallelogram.