Answer:
x^(5/6) + 4(x^(7/3))
Step-by-step explanation:
Simplify x to the 1/3 power MULTIPLIED BY (x to the 1/2 power + 2x to the 2 power )
Simplify x^(1/3) × (x^(1/2) + (2x)^2)
= x^(1/3)(x^(1/2)) + x^(1/3)((2x)^2)
= x^(1/3+1/2) + 4(x^(1/3+2))
= x^(5/6) + 4(x^(7/3))
x^(1/3) is y such that y^3 = x
(x^(1/3) × x^(1/3) × x^(1/3)) = x^(1/3+1/3+1/3) = x^1 = x
x^(1/2) = √2 = y such that y^2 = x
(2x)^2 = 4x^2
Answer:
Choice B: BD/DA = CE/EA
Step-by-step explanation:
Slope is rise over run. For the two slopes to be equal, the rise over run of the two triangles must be equal.
The rise over run for triangle ABD is BD/DA.
The rise over run of triangle ACE is CE/EA.
For the slopes to be equal, BD/DA = CE/EA
Answer: Choice B.
Answer:
180 cm^2
Step-by-step explanation:
For similar figures the ratio of areas is the square of the ratio of linear dimensions.
We take "tripled in size" to mean that the linear dimensions of the larger rectangle are 3 times those of the smaller rectangle. That means the area of the larger rectangle will be 3² = 9 times the area of the smaller one.
Area = (3²)(20 cm²) = 180 cm² . . . . area after tripled in size
First factor each number
39=3*13
52=4*13
Now find the greatest common factor, which in our case is 13.
Answer: 13
Question (1):
Price last week = $6.00
Price this week = $7.20
Increased = $7.20 - $6.00 = $1.20
Answer : Percentage increased = $1.20/$6.00 x 100 = 20%
Question (2):
Original Price = $90
Marked down = 35% of $90 = 0.35 x 90 = $31.50
Price after marked down = $90 - $31.50 = $58.50
Answer: Lilly will pay $58.50 for the football cleats.
