Answer:
Dilation factor is 2/3
Step-by-step explanation:
Look at both flat lines (M to S and M' to S') and find their lengths.
M to S = 9 units
M' to S' = 6 units
The triangle has gotten smaller so the dilation factor is a fraction
new/original = 6/9 = .66666666 or 2/3
Dilation factor is 2/3
Answer: r= 1.22
Step-by-step explanation:
Formula for amount with simple interest = 
, where
P= principal value , r= rate of interest , t = time.
Given: P= $2000, t= 5 years, r= 1.25% = 0.0125

Formula to compute compound amount : 

When both have same worth then

taking log on both sides , we get

Hence, Value of r= 1.22
Answer:
6
Step-by-step explanation:
<h2>
x = 9</h2><h3 />
<u>We know:</u>
- we can add/subtract the same expression to both sides of the equation to get an equivalent equation;
- we can multiply/divide both sides of the equation by the same non-zero number to get the equivalent equation.
<u>Equivalent equations</u> are algebraic equations that have identical solutions.
We have the equation:

<h3>SOLUTION:</h3>
<em>multiply bot sides by 3</em>
<em />
<em>divide both sides by 7</em>
<em />
Answer:
(x + 3)(x + 2) = 9
x^2 + 5x + 6 = 9
x^2 + 5x = 3
Step-by-step explanation:
length * width = area
(x + 3)(x + 2) = 9
Expand
x^2 + 5x + 6 = 9
Subtract 6 from both sides
x^2 + 5x = 3