Answer:
<u>Step-by-step explanation:-</u>
The equation used to find the equation of circle is :-
'a' means the x coordinate of the circle, 'b' means y coordinate of the circle.
In the question, it's given that the coordinates of the circle are (5, -8) and radius is 8cm.
So, 'a' will be 5 and 'b' will be -8
So,
=
Draw a rectangle. If the length is 3 inches longer than its width, we can write the width as "w" and the length as the width + 3
Area is (width)(Length) = (width)(width+3)
W
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| |
| |
| | L = w+3
| |
| |
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A = (w+3)(w)
A = w2 + 3w = 108.
(Problem states that area is 108 sq in)
Need to solve this quadratic equation
w2 + 3y - 108 = 0
Factor:
(w - 9) (w + 12) = 0
So
w - 9 = 0. or. w + 12 = 0
Solve these and get
w = 9. or. w = -12
Only one that makes sense in real life is the poitive one.
So the dimensions are
Width = 9 inches
Length = 12 inches
#15) The distance traveled from a wheel can be found using the circumference and the formula for that is 2*pi*radius
So the smaller one traveled 4*(2*pi*r) = 8*pi*r
And the larger one traveled 4*(2*pi*2r) = 16*pi*r
So the larger one traveled 8*pi*r feet further.
16) This is just a counting problem. The total number of people were: 250.
Each person got 3 flyers. So the total flyers is 250*3 = 750
