Answer:
1. 1
1x
2. 5
x + 7
3. 8x
4. 8
x + 9y
5. x + 8y + 12
6. 12x + 3y
7. 10a + 7b + 4
8. 19a+11
9. a+16b+10
10. 13a+9b+11
11. 12a+2b+24
12. 4a+3b+1
13. 8x+6
14. 11x+20
15. 4x+27
16. 11x+8y
17. 5x+3y+18
18. 7x+15y+30
19. 7x+7y
20. 5x+10y+33
21. 2x+7y+37
22. 9x+7y+9
23. x+2x+7+3x+1= 6x+8
24. 3x+x+x+5+x+5+2x+3= 8x+13
Thank you for letting me do this math i needed it lol
Note: Consider we need to find the vertices of the triangle A'B'C'
Given:
Triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C'.
Triangle A,B,C with vertices at A(-3, 6), B(2, 9), and C(1, 1).
To find:
The vertices of the triangle A'B'C'.
Solution:
If triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C', then

Using this rule, we get



Therefore, the vertices of A'B'C' are A'(6,3), B'(9,-2) and C'(1,-1).
Answer:
Scale = 5ft/in
Step-by-step explanation:
Given
Scale Measurement = 6in.
Actual Width = 30ft
Required
Scale Ratio.
The scale ratio can be calculated as thus:
Scale Ratio = Actual Measurements ÷ Scale Measurements
Scale Ratio = 30ft ÷ 6in
Scale Ratio = 30ft/6in
Simplify to lowest terms
Scale Ratio = 5 ft/1 in
Scale Ratio = 5ft/in
This can also be represented as follows;
Scale Ratio = 5ft : 1in
This means that 5 ft on the actual measurements is represented by 1inch on the scale.
First, take off 4 feet of Stacy's rope, which is 19. (23-4=19). Then, divide 19 by 3. It should equal 6.3...
Answer:
Total amount that Matthew's bank will receive is $10099.81.
Step-by-step explanation:
We need to find the amount Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually.
The formula for compound interest is:

Where A = future value
P= Principal Amount
r = interest rate
and n= time
So in the question we are given:
P= $8000
r = 6% or 0.06
t = 4 (since 4 yeras compounded annually)
A= 8000*(1+0.06)^4
A= 8000*(1.06)^4
A= 10099.81
So, total amount that Matthew's bank will receive is $10099.81.