the remains of an ancient ball court include a rectangular playing alley with a perimeter of about 64 M. the length of the alley
1 answer:
Answer:
<h2>The length is 21.3 meters</h2><h2>The width is 10.6 meters</h2>Step-by-step explanation:
This problem is on the mensuration of flat shapes, a rectangular shape
we are required to solve for the length and width of the rectangular ball court
we know that the perimeter is expressed as
let the width be x
hence the length is 2x
Given data
perimeter = 64 meters
length l= 2x
width w= x
Substituting our data and solving for x we have
Dividing both sides by 6 we have
Hence the width is 10.66 meters
The length is 2x= 2(10.66)= 21.33 meters
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Answer:
- zeros: x = -3, -1, +2.
- end behavior: as x approaches -∞, f(x) approaches -∞.
Step-by-step explanation:
I like to use a graphing calculator for finding the zeros of higher order polynomials. The attachment shows them to be at x = -3, -1, +2.
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The zeros can also be found by trial and error, trying the choices offered by the rational root theorem: ±1, ±2, ±3, ±6. It is easiest to try ±1. Doing so shows that -1 is a root, and the residual quadratic is ...
x² +x -6
which factors as (x -2)(x +3), so telling you the remaining roots are -3 and +2.
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For any odd-degree polynomial with a positive leading coefficient, the sign of the function will match the sign of x when the magnitude of x gets large. Thus as x approaches negative infinity, so does f(x).
