The given line (in blue) is a vertical line, so it is in the form
Ax=C (i.e. with the y-term missing).
Since we know that the line passes through (-2,2), and (-2,-3), this means that all points on the line has the x-coordinate equal to -2 (characteristic of vertical lines).
The equation is therefore
x=-2, or alternatively
x+2=0
Answer:
A. F'G' = 3 & G'H' = 5.
Step-by-step explanation:
Translations of any shape will not change the side lengths and will be congruent to the original shape.
Answer:
Option C) y + 4 = x
Step-by-step explanation:
We are given the following information in the question:
Line AB goes through the points A (0, –4) and B (6, 2).
We can use the two-point form of equation of straight line.
The equation of line is given by:
where,
is the point through which the line passes.
The equation of line is:
Thus, the equation of line AB is given by Option C) y + 4 = x
Converting all to mixed number form the choices are;
-0.75, 0.5, 0.6, -2.3, and 1.2
Now we can list them from least to greatest:
-7/3, -3/4, 0.5, 2/3, and 1.2
Answer:
31). Maximum height = 100 feet
32). Time to hit the ground = 5 seconds
Step-by-step explanation:
31). Equation modeling the height 'h' of the ball is,
h = -16t² + 80t
For the maximum height of the ball,
Find the derivative of 'h' with respect to time 't' and equate it to zero.





seconds
That means after 2.5 seconds ball will reach the maximum height.
By substituting
in the equation,

feet
Therefore, maximum height achieved by the ball is 100 feet.
32). If the ball follows the parabolic path,
Time taken by the ball to reach the maximum height = Time taken by the ball to come back to the ground from the maximum height.
Time taken by the ball to hit the ground = 2(2.5) = 5 seconds