Start by distributing the exponent to each of the terms in 
. This will become 
, and 
. Now, the expression is:
.
We can now simplify the bottom to read: 
because when multiplying variables raised to an exponent, we add the exponents. The expression now looks like:
The 2/8 simplifies to 1/4:
Now, we have two u terms on the top and bottom. When dividing variables raised to an exponent, we subtract the exponents. However, since 3-5=-2, the term will be on the bottom to avoid the negative exponent. The final answer is:
Hope this makes sense!!
Answer:
The system is consistent; it has one solution ⇒ D
Step-by-step explanation:
A consistent system of equations has at least one solution
- The consistent independent system has exactly 1 solution
- The consistent dependent system has infinitely many solutions
An inconsistent system has no solution
In the system of equations ax + by = c and dx + ey = f, if
- a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutions
- a = d, b = e, and c ≠ f, then the system is inconsistent and has no solution
- a ≠ d, and/or b ≠ e, and/or c ≠ f, then the system is consistent independent and has exactly one solution
In the given system of equations
∵ -2y + 2x = 3 ⇒ (1)
∵ -5y + 5x = 12 ⇒ (2)
→ By comparing equations (1) and (2)
∵ -2 ≠ -5
∵ 2 ≠ 5
∵ 3 ≠ 12
→ By using the 3rd rule above
∴ The system is consistent independent and has exactly one solution
∴ The system is consistent; it has one solution
Answer: D=22
Step-by-step explanation:
this is because if multiply f by r you get D and then you do all the other rmathematics and you wind up with 22
Answer:
-2x-8
Step-by-step explanation:
1) Distribute:
-6/3x+-15/3-3
2) Simplify:
-2x-5-3
3) combine like terms:
-2x-8
hope this helps
This makes a right triangle with hypotenuse x+2 and legs 10 and x
10²+x²=(x+2)²
100 + x² = x²+4x+4
100=4x+4
4x=96
x=24, the height we are looking for
