Answer:
4√(xy³)
Step-by-step explanation:
8√(x²y⁶)
The above expression can be simplified as follow:
8√(x²y⁶)
Recall:
m√a = a^1/m
Therefore,
8√(x²y⁶) = (x²y⁶)^1/8
Recall:
(aⁿ)^1/m = a^(n/m)
Therefore,
(x²y⁶)^1/8 = x^(2/8)•y^(6/8)
= x^1/4•y^3/4
= (xy³)^1/4
Recall :
a^1/m = m√a
Therefore,
(xy³)^1/4 = 4√(xy³)
Therefore,
8√(x²y⁶) = 4√(xy³)
After x weeks:
Jules will have: 1,200 + 40 x.
Kelsey will have: 400 + 50 x.
If we want to know in how many weeks will they have the same amount of money, we will make an equation:
400 + 50 x = 1,200 + 40 x
50 x - 40 x = 1,200 - 400
10 x = 800
x = 800 : 10
x = 80
Answer: In 80 weeks they will have the same amount of money.
Given:
y is directly proportional to x.
when 
To find:
The equation that connects y with x.
Solution:
It is given that, y is directly proportional to x. So,
...(i)
Where, k is the constant of proportionality.
We have, when . Substituting these values in (i), we get
Divide both sides by 5.
Substituting 
in (i), we get
Therefore, the required equation is .
Answer:
-8.57142857143
Step-by-step explanation:
-8.57142857143
Answer:
C and D
Step-by-step explanation:
We can see that the base of the bigger triangle is 6. Based on the straight sides adjacent to the hypotenuse, the bigger one's height is 6 and the smaller one's is 3. This means that the smaller one is half the size of the bigger one. This means that if the bigger base is 6, the smaller one is 3. Since it is 3, we move 3 spaces left from point Z to get point Y. If you moved 3 spaces left, it would be (-5,2). You can also move 3 spaces right and then your Y point would be at (1,2) so C and D are the 2 possible answers.
