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:
Step-by-step explanation:
Three times a number x : 3x
Three times a number x increase by 4: 3x +4
Five times the number x: 5x
5x = 3x +4
Subtract 3x from both the sides.
5x - 3x = 3x +4 - 3x
2x = 4
Divide both sides by 2
2x/2 = 4/2
x=2
The number is 2
Answer: 9 so the fraction would be 9/24
For lesson 4 10^15/10^4= 10^11 because when you are dividing with exponents you have to subtract the bottom exponent with the top one so 15-4=11; 10^15/10^4=10^11
Answer:
Positive
Step-by-step explanation:
