Answer:

Step-by-step explanation:
<u>Logarithms</u>
Some properties of logarithms will be useful to solve this problem:
1. 
2. 
3. 
We are given the equation:

Applying the second property:

Substituting:

Applying the first property:

Operating:

Rearranging:

Simplifying:

Dividing by 3:

Applying the third property:

Applying inverse logs:

Answer:
Step-by-step explanation:
Since the two triangles are similar, you can use proportions to solve for the value of 

Now, just multiply 4 and 12.

Then divide that by 3.

Therefore,
.
id say its a rhombus. all the other shapes can have right angles
Answer:
The co-ordinates of Q' is (5,2).
Step-by-step explanation:
Given:
Pre-image point
Q(-7,-6)
To find Image point Q' after following translation.

Solution:
Translation rules:
Horizontal shift:

when
the point is translated
units to the right.
when
the point is translated
units to the left.
Vertical shift:

when
the point is translated
units up.
when
the point is translated
units down.
Given translation
shows the point is shifted 12 units to the right and 8 units up.
The point Q' can be given as:
Q'=
So, the co-ordinates of Q' is (5,2). (Answer)