Answer: a = Rectangular, b = 46.4 feet, c = 7 ft or 117 ft above ground level
<u>Step-by-step explanation:</u>
a) Use the rectangular coordinate system (x, y) and set the origin at the center of the ferris wheel.
b) The origin is at 62 feet from the ground. The rider is 100 feet from the ground. So, the y-coordinate of the rider is 100 - 62 = 38. Need to find the x-coordinate.
x² + y² = r²
x² + (38)² = (60)²
x² = 60² - 38²
x = 46.4 feet
c) The x-coordinate is given (24 ft) . Need to find the y-coordinate.
x² + y² = r²
(24)² + y² = (60)²
y = 60² - 24²
y = +/- 55
Convert that to ground level:
62 + 55 = 117 feet above ground level
62 - 55 = 7 feet above ground level
The length of the line segment is 24 cm.
1. Number that adds up to -12 and multiplied by the same # that gives u -13. Set it up like this because both are negative so, u need 1 negative and 1 positive.
(x-13)(x+1)
2. Same rule applies. GCF
8y(4y+1)
3. (x+3)(x-3)
This type of problem can be decided by looking at whether the function is positive or negative in the vicinity of the zeros. There are three roots: -12, -6, and 2 at which the function is clearly 0. Look at the four intervals the x axis:
interval x<-12: function is negative (just test using a number <-12, say, -13)
interval (-12,-6): function is positive
interval (-6, 2): function is negative
interval x>2: positive
From the above you deduce that at the roots the function must be crossing the x-axis (as opposed to just touching it) because the function value changes its sign every time.
8.3+12+9.1+7.2= 36.6 divide it by 4 which is the number of factors the answer is 9.15
