Answer:
6
x
^2
−
5
x
y
−
4
y
^2
Step-by-step explanation:
Expand
(
2
x
+
y
)
(3
x
−
4
y
)
using the FOIL Method.
Apply the distributive property.
2
x
(
3
x
−
4
y
)
+
y
(
3
x
−
4
y
)
Apply the distributive property.
2
x
(
3
x
)+
2
x
(−
4
y
)
+
y
(
3x
−
4
y
)
Apply the distributive property.
2
x
(
3
x
)
+
2
x(
−
4
y
)
+
y
(
3
x)
+
y
(
−4
y
)
Simplify and combine like terms.
6
x
^2
−
5
x
y
−
4^
2
1. x^15
2. m^40
3. v^7/2
4. k^4
5. 1/x^14
6. 1/r^3/2
7. b^25
8. h^2
9. m^3n^1/7
10. x^12
11. 1/g^37
12. 1/100m^6
13. j^6/216
14. 1/125f^3
15. 3z^1/2
16. 1/100m^6
17. j^6/216
18.1/81d^20
19. 1
20. g^1/2 r^3
21. 16a^11
22. m^16n^21
23. 1
24. 1/y^10x^6
25. 343s^10/t^17/2
26.n^17/2 /m^10/2
27. 729/b^24c^9
28. 20y^2/x^33
Answer:
Part 1:
Yes, the side lengths form a right triangle.
Part 2:
Option d 37.1 cm
Explanation:
We need to use the pythagorean theorem.
In part 1, if the 3 side lengths are a right triangle, then, they must verify:

By the theorem. Then:

They're equal, then the lengths correspond to a right triangle.
For part 2, we need to use again the theorem. In this case:
Increase : 29.96
Decrease: 26.04