Answer:
1. X=7
2. x=2
Step-by-step explanation:
You transformed the function as follows:
All trasformations of the fashion 
translate the function horizontally, k units right if k is positive, k units left if k is negative.
In your case, k=6, so you translated the original function y=|x| 6 units to the right.
no solution.
The two lines are parallel
(same slope but different y intercepts)
Answer:
Yes, the shapes are similar. Note, the angles are equivalent and the sides are scales of each other satisfying the requirements for similarly.
Step-by-step explanation:
For a shape to be similar there are two conditions that must be met. (1) Must have equivalent angles (2) Sides must be related by a scalar.
In the two triangles presented, the first condition is met since each triangle has three angles, 90-53-37.
To test if the sides are scalar, each side must be related to a corresponding side of the other triangle with the same scalar.
9/6 = 3/2
12/8 = 3/2
15/10 = 3/2
Alternatively:
6/9 = 2/3
8/12 = 2/3
10/15 = 2/3
Since the relationship of the sides is the scalar 3/2 (Alternatively 2/3), then we can say the triangles meet the second condition.
Given that both conditions are satisfied, then we can say these triangles are similar.
Note, this is a "special case" right triangle commonly referred to as a 3-4-5 right triangle.
Cheers.
Answer:
x + 6 = 33
Step-by-step explanation:
6 more than x means there's an increment in the value of x by addition of 6
x + 6 = 33
This leads to an algebraic linear equation. x is an unknown variable and can be solved for
we subtract 6 from both sides of the equation
x + 6 - 6 = 33 - 6
x = 27
Therefore, we can say 6 more than 27 is 33
