Answer:
M = -2
b = -10
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
m = (-8 -0)/(-1- -5)
= (-8-0)/(-1+5)
= -8/4
= -2
We now want to find the y intercept
y = mx+b is the slope intercept form of the equation
y = -2x+b
Using the point (-5,0)
0 = -2(-5) +b
0 = 10+b
Subtract 10 from each side
-10 = 10-10+b
-10 =b
The y intercept is -10
y= -2x-10
Answer:
The given matrix is telling us that we must translate the figure one unit to the right side and one unit downside because the first row states 0 x-units and -1 y-units, the second row states 1 x-unit and 0 y-units.
The transformation of the coordinates would be
(1,-1) to (2, -2)
(2,1) to (3, 0)
(4,1) to (5, 0)
(4,-1) to (5, -2)
The image attached shows the representation of the image.
<u>Answer:</u>
20 -20 0-15 0-5
<u>Step-by-step explanation:</u>
The original graph
<h3>X Y</h3><h3>-25 -10</h3><h3>-5 10</h3><h3>5 15</h3><h3 />
<u>Hope this helps you :)</u>
The answer is 17040.34
Check the annuity due formula
<h3>
Answer: Choice D</h3><h3>
m = n</h3><h3>
b = sqrt(pi)*a</h3>
=====================================================
Explanation:
Each circle has a radius of 'a'. So r = a.
The area of each circle is pi*r^2 = pi*a^2
The area of each square with side length b is b^2
The two stacks have the same volume only when the circle area is equal to the square area, so whenever pi*a^2 = b^2 is true.
Solving for b leads to b = sqrt(pi*a^2) = sqrt(pi)*a
The stacks must also be the same height for the volumes to be the same, so m = n as well.