Answer:
what's the question .......
Let
, so that
,
, and
. Then
Now let
, so that
. Then
Transform back to
to get
and again to get back a result in terms of
.
Answer:
Range: (-3,0,3,6,9)
Step-by-step explanation:
We need to evaluate each value in the domain of the function, so
f(-2)=3(-2)+3=-6+3=-3
f(-1)=3(-1)+3=-3+3=0
f(0)=3(0)+3=0+3=3
f(1)=3(1)+3=3+3=6
f(2)=3(2)+3=6+3=9
If the circle has the same center as the diagonals of a square and the radius of the circle is smaller than 1/2 the diagonal of the square but larger than 1/2 the length of the side of a square, then there are 8 points of intersection -- 2 at each corner of the square.
If the radius of the circle is smaller than 1/2 the side length of the square and the center is as described above, there are no points of intersection.
If the circle is located outside the square it can have 1 tangent point or 2 intersection points depending on the location conditions of the circle in relation to the square.
Answer:
Henry's balloon was farther from the town at the beginning and Henry's balloon traveled more quickly.
Step-by-step explanation:
The distance of Tasha's balloon from the town is represented by the function y = 8x+ 20
Where y is the distance in miles from the town and x represents the time of fly in hours.
So, at the start of the journey i.e. at x = 0, y = 20 miles {From equation (1)} from the town.
Again, Tasha's balloon is traveling at a rate of 8 miles per hour.
Now, Henry's balloon begins 30 miles from the town and is 48 miles from the town after 2 hours.
So, Henry's balloon traveling with the speed of miles per hour.
Therefore, Henry's balloon was farther from the town at the beginning i.e. 30 miles from the town. And Henry's balloon traveled more quickly i.e at the rate of 9 miles per hour. (Answer)
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