Answer:
Range tells you how high and low the graph of this parabola goes in the “y” (vertical) directions.
1. We can see that the parabola peaks on the y-axis at y = 4. That’s as HIGH as it goes.
2. We also see that both sides of the parabola descend to the level of y = -7. That’s as LOW as it is shown to go.
So putting these together, we say the Range is given by:
-7 <= y <= 3
AMBIGUITY WARNING:
Because the two branches of the parabola go fall right down to the edge of the picture boundary, it’s UNCLEAR whether the parabola truly stops at y = -7 or CONTINUES on (to negative infinity).
In THAT case, the RANGE simplifies to:
Y <= 4
Done.
Step-by-step explanation:
Cos(x) = sin(90 - x)
cos(53) = sin(90 - 53)
cos(53) = sin(37)
x + 1
__________
3x+2 I 3x² +5x -3
3x² +2x
----------
3x -3
3x+2
--------
-5 is the remainder
Subtract that number down so its a
Well the area of a trapezoid is defined by the following formula:
A =

where b₁ and b₂ are the bases of the trapezoid and h is the height of the trapezoid.
Let's plug in what we know into this formula:
h = 7 the perpendicular distance between the two bases
b₁ = 15 the shorter parallel side
b₂ = 25 the longer parallel side made up of 4 + 15 + 6
so, A =

This is in square units of measure of course, so 140 in²