Without graphing, the final position of the figure that is translated by
(x - 5, y + 7), and then by (x + 5, y -
7) ends
up in the same position it was, before the translations.
Let’s check this example:
Think of point (1, 1). The point is translated to (-4, 8); and then it is moved
back to point (1, 1). The x spot’s -5 and +5 cancel each other out and the same
can be said for the y’s.
To add, a geometric transformation<span> that changes every point of a space by the same amount
in a given direction or a figure is called a translation.</span>
Answer:
51 trees
Step-by-step explanation:
Start at one end of the 50-foot line segment.
At position 0 ft, put one tree.
Then 1 ft from 0 ft, put tree number 2.
One more foot over, at position 2 ft from the start, put tree number 3.
Notice that each tree number is one more than the number of feet.
That means at 50 ft from the stat, you put tree number 51.
Answer: 51 trees
Answer:
Step-by-step explanation:
If you plot the vertex and the point, you see that the point is above the vertex. Therefore, this is a positive parabola with the work form of

We have values for x, y, h, and k. Let's write the equation of the parabola, put it into function notation, then find another x value at which to evaluate it.
and
and
8 = 9a - 1 and
9 = 9a so
a = 1. The equation of the parabola in function notation is

Since the vertex is at (3, -1) it would make sense to evaluate the function at x values close to the vertex. Let's evaluate the function at an x value of 4:
and
and
f(4) = 0. That means that another point on this parabola will be (4, 0).
So
in this problem we can see that there will be 60 people at the party.
Following the conditions for this event that state the following:
$750 for up to 30 people and every extra person pays $20. To show
that the cost will be $1350 in total we simply do this:
For
30 people we have $750 dollars. Now every other person after pays
only $20. That means that another the other 30 people will pay in
total only $600.
If
we add them we get: $750 + $600 = 1350. This shows that the cost will
be $1350.
<span>
I
hope it helps, Regards.</span>
Well it's 70+42+70+48 or 230 sq. ft