Answer:


Step-by-step explanation:
Given


Solving (a): Reflect S across y-axis
The rule to reflect across y-axis is:

So, we have:

Hence:

Solving (b): Reflect Q across x and y-axis
The rule to reflect across x-axis is:

So:

The rule to reflect across y-axis is:

So:

Hence:

The given expression is

We extract the common factor 2x.

The first solution is 0.
Now, we solve the quadratic expression. We have to find two numbers whose product 20 and whose difference is 8. Those numbers are 10 and 2.

<h2>Hence, the given expressions expressed, as factors, is</h2>
Answer:
5000 ;
11125
Step-by-step explanation:
Given :
Total principal = 16125
Rates = 8.5% and 4%
Period, t = 2 years
Total interest = 1740
Let :
Principal amount invested at 8.5% = x
Principal amount invested at 4% = 16125 - x
Interest formula :
Interest = principal * rate * time
Hence, mathematically ;
(x * 8.5% * 2) + [(16125 - x) * 4% * 2] = 1740
(0.17x + 1290 - 0.08x ) = 1740
0.09x + 1290 = 1740
0.09x = 1740 - 1290
0.09x = 450
x = 450 / 0.09
x = 5000
Amount invested at 4% :
16125 - 5000 = 11125