Find the slope between the given two points (5,3) and (5,-9)
2 answers:
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Answer:
Step-by-step explanation:
The problem could be simplified as following:
Given:
The radius of a circle O is 26 feet.
Solve for:
The length of arc on circle O that measures 13 radians
Solution:
Step 1: Let's find out the correct formula to apply:
The formula to calculate the length of an arc measuring x radians on a circle with radius r feet is:
L = r*x
Step 2: Let's put the data into formula to work out the length L of arc:
L = 26*13 = 338 (ft)
=> The distance that a horse does on the outer edge travel when the carousel rotates through 13 radians: L = 338 (ft)
Hope this helps!
:)
To find the y-intercept, simply set the value of x equal to 0, and solve for y, or f(x).
f(x) = 0^2 - 3(0) - 40
f(x) = -40
<h3>The y-intercept is -40.</h3>Because this is a 2nd degree polynomial, we cannot find the x-intercepts in one step, and must instead use one of a few different methods.
In this case, we're going to use the quadratic formula:
Plug in the values.
3 +/- √(-3^2 + 160) / 2
3 +/- √169 / 2
3 +/- 13 / 2
(3 + 13) / 2 = 16 / 2 = 8
(3 - 13) = -10 / 2 = -5
<h3>The x intercepts are 8, and -5.</h3>
Answer:
8 hours and 31 minutes per day
Step-by-step explanation: