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: $55,489.20
Step-by-step explanation:
Given the following information :
Base salary = $10.20 per hour
Overtime pay = $10.20 * 1.5 = $15.3
Average sale per hour = $60
Tips = 20% of sale
Regular shift hour = 8hours
Work week:
3 10-hour shift = 24hrs regular (6 hrs overtime)
1 11 - hour shift = 8hrs regular (3 hrs overtime)
1 5 - hour shift = 5 hours
Total hours per week = 37hrs regular, 9hrs overtime
WEEKLY :
Income from tips = $60 * 46 * 0.2 = $552
Regular pay: 37 * 10.20 = $377.40
Overtime: 9 * $15.30 = $137.70
Total = $(137.70 + 377.40 + 552) = $1067.10
Number of weeks in a year = 52
Annual gross = $1067.10 * 52 = $55,489.20
Answer:
e
Step-by-step explanation:
e
Answer:
Step-by-step explanation:
f(x) = a(x+2)² +k
Answer: Option A and option B would be sufficient to prove that BLUE is a parallelogram. The diagonals are congruent IS NOT ALWAYS TRUE about a parallelogram.
Step-by-step explanation: Please refer to the diagram attached for details. One of the properties of a parallelogram is that each pair of opposite sides are equal to each other. So lines BE and LU are parallel as shown by the arrows on both lines in the attached picture. Same applies to lines BL and EU. Line BE doesn’t have to be congruent to BL, but BE must be congruent to LU. Same applies to BL and EU. Also in a parallelogram, opposite sides are congruent, opposite angles are congruent (angle B = angle U and angle E = angle L) and opposite sides are parallel. The diagonals are NOT ALWAYS congruent. This is only possible if all four sides are of the same measurement. However if for instance, side BE does not equal BL, then the diagonals cannot be equal.
