Answer:
<u>A</u>
Step-by-step explanation:
Taking c = 1 :
- x² + 2x + 1
- x² + x + x + 1
- x(x + 1) + 1(x + 1)
- (x + 1)(x + 1)
- (x + 1)² ⇒ Perfect square trinomial
That looks like a translation; let's check. We have
A(-5,1), B(-3,7), A'(3,-1), B'(5,5)
If it's a translation by T(x,y) we'd have
A' = A + T
B' = B + T
so
T = A' - A = (3,-1) - (-5,1) = (8,-2)
and also
T = B' - B = (5, 5) - (-3, 7) = (8,-2)
They're the same so we've verified this transformation is a translation by (8,-2), eight right, two down.
3. Look at the picture.
We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:


4.
Look at the picture.
Use Pythagorean theorem:



5.
TRUE: 1; 2; 4
6.
We find a slope of the line OP:

We have:

Now, we must find the slope of the line perpendicular to the line OP.
We know:

therefore

So. We have the answer! :)