Answer:
A. x = 8.
B. x = 31.
C. x = 32.
Step-by-step explanation:
Here. the sum of the 2 parallel sides of the trapezoid = 2 * length of the middle line segment.
MN + RS = 2PQ
32+ x = 2*20
x = 40 - 32
x = 8.
MN + RS = 2PQ
20 + 42 = 2PQ
2x = 62
x = 31
MN + RS = 2PQ
22 + 42 = 2PQ
2x = 64
x = 32.
Can't solve this, because it's not an equation. It's an expression, and I think your goal is to simplify it.
<span>r^2/2r^3 would be better written as
</span><span> r^2 r^2
------- = ----------- this should be reduced by cancelling "r^2:"
2r^3 2r(r^2)
1
-------- (answer)
2r</span>
Y=-3x^2+18x-25 move constant to other side
y+25=-3x^2+18x make leading coefficient 1 by dividing every thing by -3
(y+25)/-3=x^2-6x halve the linear coefficient, square it, add it to both sides...ie (-6/2)^2=9, so add 9 to both sides
(y+25-27)/-3=x^2-6x+9 now the right side is a perfect square
(y-2)/-3=(x-3)^2 now multiply both sides by -3
y-2=-3(x-3)^2 add 2 to both sides
y=-3(x-3)^2+2
f(x)=-3(x-3)^2+2
So the vertex here is an absolute maximum for the parabola as anything squared and then multiplied by a negative will decrease the value of y.
So the absolute maximum for f(x) occurs at the vertex (3, 2)
Answer:
they both must go through (0, 0) and both must be straight lines
Step-by-step explanation:
linear/proportional
