This is the simplest way I could explain that complex question.
Answer:
xy = 1
k = 79
Step-by-step explanation:
Question One
The first and third frames look to me to be the same. I'll treat them that way.
y = x^2 Equate y = x^2 to the result of 2y + 6 = 2x + 6
2y + 6 = 2(x + 3) Remove the brackets
2y + 6 = 2x + 6 Subtract 6 from both sides
2y = 2x Divide by 2
y = x
Now solve these two equations.
so x^2 = x
x > 0
1 solution is x = 0 from which y = 0. This won't work. x must be greater than 0. So the other is
x(x) = x Divide both sides by x
x = 1
y = x^2 Put x = 1 into x^2
y = 1^2 Solve
y = 1
The second solution is
(1,1)
xy = 1*1
xy = 1
Answer: A
Question Two
square root(k + 2) - x = 0
Subtract x from both sides
sqrt(k + 2) = x Square both sides
k + 2 = x^2 Let x = 9
k + 2 = 9^2 Square 9
k + 2 = 81
k = 81 - 2
k = 79
Answer:
the answer is 16
Step-by-step explanation:
if sixteen was added to nine it will be 25
Answer:
A (painter 1) = 10 hours
B (painter 2) = 15 hours
Step-by-step explanation:
Answer:
The answer is 30 or 7.5
Step-by-step explanation:
There are two answers because you haven't specified whether the 15 corresponds with the 5 or the 10 so I did both.
If the 15 corresponds with the 5 then the scale factor is 3 because 15 ÷ 5 = 3. To find the unknown amount you have to multiply the 10 by 3 to get 30.
If the 15 corresponds with the 10 then the scale factor is 1.5 because 15 ÷ 10 = 1.5. To find the unknown amount you have to multiply the 5 by 1.5 to get 7.5.
So depending on whether the 15 corresponds to the dimension 5 or 10 you have two answer, you can use the one that applies to you.
