Answer:
r > -178
Step-by-step explanation:
Solving the equations means to find what "r" can be for the equation to be true.
If the sign < confuses you, you can always write = then change it back.
<u>To find "r", we need to isolate it</u>. To do this, we move "r" to the left side, and every other number to the right side. When you move something to the other side, remember you need to <u>do the reverse operation on both sides</u>.
I want to move -195 first. The opposite is +195.
-17 < -195 - r
-17 + 195< -195 + 195- r Add 195 to both sides. 195 cancels out on the right
-17 + 195 < -r Simplify left right by add 195 to -17
178 < -r The opposite of multiply by -1 is divide by -1.
178/-1 < -r/-1 Divide both sides by -1.
178/-1 < r "r" is isolated now. Simplify left side
-178 < r Answer is found. Put variable on left side. Remember the keep the open side of the symbol facing "r".
r > -178 The solution is when "r" is greater than -178.
Check the picture below, that's a parabolic graph of a quadratic equation with a negative leading coeffficient, like this one, the one in the graph is just for initial velocity, but, the highest point is at the vertex for any of these parabolas.
and this one is not exception, so where's the vertex? what's A or the y-coordinate when the vertex is reached?, well, let's check.

so, that's the vertex, and when the width is that much, the Area reaches a maximum of that much.
Answer:
196 degrees
Step-by-step explanation:
360-164=196 degrees
the arch CDF=2*82=164
so the arch CGF =360-164=196 degrees
Answer:
W= 5
Step-by-step explanation:
Perimeter of rectangle = 2(l+w) = 50
l= 4w
l+w = 25
So 4w + w = 25
5w = 25
w=5
l= 4*5 = 20