Answer
26√2
Step-by-step explanation:
The trick here lies in recognizing that both 18 and 32 have factors that are perfect squares: 18 = 2*9 and 32 = 2*16. Therefore, we can write
2sqrt18 as 2√2√9, or 6√2, and 5sqrt32 as 5√2√16, or 20√2.
Then the original expression, in simplest form, is 6√2 + 20√2, or 26√2
Answer:
4
Step-by-step explanation:
5 smiles - 1 = 4 smiles
The area of the triangle could be determined by multiplying the length and the width. Since, we are given the area and the length, to find the width, you divide the area by the length:
w = A ÷ l
w = (x2 - 2x - 15) ÷ (x+3)
What do you have to multiply to (x+3) to yield x2 - 2x - 15? That would be x - 5. Since the sum of -5 and 3 = -2 (middle term) and the their product is -15 (last term).
Hence, the width is (x-5).
Answer:
2(x + 4) / 6(x² - 3x - 28)
Step-by-step explanation:
Area of a rectangle = length × width
Length = 2/(x² - 3x - 28)
Width = x² - 16/6x - 24
= (x + 4)(x - 4) / 6(x - 4)
= (x + 4) / 6
Area of a rectangle = length × width
= 2/(x² - 3x - 28) × (x + 4) / 6
= 2(x + 4) / (x² - 3x - 28)6
= 2(x + 4) / 6x² - 18x - 168
= 2(x + 4) / 6(x² - 3x - 28)
Area of a rectangle =
2(x + 4) / 6(x² - 3x - 28)
Answer:
The probability that he teleports at least once a day = 
Step-by-step explanation:
Given -
Evan lives in Stormwind City and works as an engineer in the city of ironforge in the morning he has three Transportation options teleport ride a dragon or walk to work and in the evening he has the same three choices for his trip home.
Total no of outcomes = 3
P( He not choose teleport in the morning ) = 
P( He not choose teleport in the evening ) =
P ( he choose teleports at least once a day ) = 1 - P ( he not choose teleports in a day )
= 1 - P( He not choose teleport in the morning ) 
P( He not choose teleport in the evening )
= 
= 
