Answer:
➩
Step-by-step explanation:
➨ We can also solve by completing both squares, however. Since we can pull out the square root.
➩ Define of Absolute Value/Square Root
➩
Thus, our new equation is ➩
To solve an absolute-value equation, let there be two conditions.
➨ Where x ≥ 0
Move x to another side
➨ Where x < 0
Given the triangle
PQR
with points
P(8,0)
Q(6,2)
R(-2,-4)
And the triangle
P'Q'R'
with points
P'(4,0)
Q'(3,1)
R'(-1,-2)
Part A. Scale factor
Using the vertex
P( 8, 0)
P'(4,0)
the dilatation factor is given by
The triangle has a dilatation factor of 1/2
Part B:
P''Q''R'' after using P'Q'R' reflected about the y axis
to make a reflection over the y axis
coordinates (x,y) turn into coordinates (-x,y)
as follows
Then triangle P''Q''R'' has coordinates
P''(-4,0)
Q''(-3,1)
R''(1,-2)
Part C:
PQR is congruent to P''Q''R''?
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
Then the triangles are not congruent
Step-by-step explanation:
Nicole starts with the budget:
$395
Now, she only expects to pay half the deposit;
$72 ÷ 2 = $36
Subtract this from the budget:
$395 - $36 = $359
Divide by cost per hour:
$359 ÷ $60 = 5.983333... (3 repeating)
This means, Nicole can rent a <em>maximum</em><em> </em>of 5 hours with her budget. The inequality would be