(2y + x) + (2y + x) = (-2y + x) + (2x - 15)
2y + x + 2y + x = -2y + x + 2x - 15
4y + 2x = -2y + 3x - 15
+2y + 2y
6y + 2x = 3x - 15
-2x -2x
6y = x - 15
+15 +15
15 + 6y = x
A. 4x+10
B. 9x+3
These are the answers to the questions. You just add the like terms together and BAM! You're answer. Hope this helps (:
Answer:
1. 
2. 
Step-by-step explanation:
<u>Problem #1:</u>
1. Find the GCF (Greatest Common Factor)

2. Factor out the GCF and simplify.

3. Factor 
<u>Which two numbers add up to 7 and multiply to 10?</u>
2 and 5
<u>Rewrite the expression using the above.</u>

4. Done!

<u>Problem #2:</u>
1. Find the GCF (Greatest Common Factor)

2. Factor out the GCF and simplify.

3. Use the perfect square formula. 


4. Done!

Answer: (x - 2)² + (y - 14)² = 1
Step-by-step explanation:
<u>Concept:</u>
Here, we need to know the idea of the circle formula.
Circle formula: (x - h)² + (y - k)² = r²
Center = (h, k)
Radius = r
If you are still confused, please refer to the attachment below for a graphical explanation.
<u>Solve:</u>
Center = (2, 14)
Radius = 1
<em>Given formula</em>
(x - h)² + (y - k)² = r²
<em>Substitute the value into the formula</em>
(x - 2)² + (y - 14)² = (1)²
<em>Simplify</em>
(x - 2)² + (y - 14)² = 1
Hope this helps!! :)
Please let me know if you have any questions
Answer:
The value will be $1,411.20
Step-by-step explanation:
What we do here is to set up an exponential equation to calculate the value.
Mathematically it will look like this;
V = I(1-r)^n
where V is the future value
I is the initial amount = 24,600
r is rate of decrease = 13.75% = 13.75/100 = 0.1375
n is the number of years = 15 years
substituting these values, we have
V = 24,600(1-0.1375)^15
V = 24600(0.8625)^15
V = 1,411.165582454129
= $1,411.20