Answer:
the coordinates of C' = (2,1)
Step-by-step explanation:
The coordinates of point C can be found by looking at the graph.
Coordinates of C are C= (6,3)
If ABCD is dilated by a factor of 1/3 then the coordinates of C' can be found by multiplying the coordinates of C by 1/3
C = (6,3)
C' =(1/3*6,1/3*3)
C' = (2,1)
So, the coordinates of C' = (2,1)
Answer:
B
Step-by-step explanation:
Plug the values of x into each equation
According to the Pythagorean theorem, the square of the hypotenuse (the longest side) of a right-angled triangle equals to the sum of the squares of the other two sides. In this case, the ladder is the hypotenuse, which equals to the distance between the bottom of the ladder and the tree + the distance we want to find (x):
5² + x² = 13²
25 + x² = 169
x² = 144
x = √144 = 12.
The distance between the ground and the top of the ladder is 12 ft.
Answer:
A
Step-by-step explanation:
For any point (x, y ) on the parabola the focus and directrix are equidistant
Using the distance formula
= | y - 8 |
Squaring both sides gives
(x - 2)² + (y - 4)² = (y - 8)²
(x - 2)² + y² - 8y + 16 = y² - 16y + 64 ( rearrange and simplify )
(x - 2)² = - 8y + 48
8y = - (x - 2)² + 48
y = -
(x - 2)² + 6 → A