Answer: ![3x^2y\sqrt[3]{y}\\\\](https://tex.z-dn.net/?f=3x%5E2y%5Csqrt%5B3%5D%7By%7D%5C%5C%5C%5C)
Work Shown:
![\sqrt[3]{27x^{6}y^{4}}\\\\\sqrt[3]{3^3x^{3+3}y^{3+1}}\\\\\sqrt[3]{3^3x^{3}*x^{3}*y^{3}*y^{1}}\\\\\sqrt[3]{3^3x^{2*3}*y^{3}*y}\\\\\sqrt[3]{\left(3x^2y\right)^3*y}\\\\\sqrt[3]{\left(3x^2y\right)^3}*\sqrt[3]{y}\\\\3x^2y\sqrt[3]{y}\\\\](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27x%5E%7B6%7Dy%5E%7B4%7D%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B3%5E3x%5E%7B3%2B3%7Dy%5E%7B3%2B1%7D%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B3%5E3x%5E%7B3%7D%2Ax%5E%7B3%7D%2Ay%5E%7B3%7D%2Ay%5E%7B1%7D%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B3%5E3x%5E%7B2%2A3%7D%2Ay%5E%7B3%7D%2Ay%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B%5Cleft%283x%5E2y%5Cright%29%5E3%2Ay%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B%5Cleft%283x%5E2y%5Cright%29%5E3%7D%2A%5Csqrt%5B3%5D%7By%7D%5C%5C%5C%5C3x%5E2y%5Csqrt%5B3%5D%7By%7D%5C%5C%5C%5C)
Explanation:
As the steps above show, the goal is to factor the expression under the root in terms of pulling out cubed terms. That way when we apply the cube root to them, the exponents cancel. We cannot factor the y term completely, so we have a bit of leftovers.
Answer:
give me a minute... if i dont find an answer i will delete my comment
Step-by-step explanation:
the answer to this is
the two is for the top of the five 2
-3(x - 5) +23
Answer:
A. 5 ft, 4 ft, 3 ft
Step-by-step explanation:
When you use the Pythagorean theorem with the numbers of the first choice, you find that these could be the sides of a right triangle:
3² + 4² = 9 + 16 = 25 = 5²
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You have found the correct answer at this point.
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If you want to check, you can examine the other choices:
C: 6² +10² = 136 ≠ 11²
B: 2² +4² = 20 ≠ 6²
D: 5² +10² = 125 ≠ 15²
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<em>Comment on 3-4-5 triangle</em>
As you can see from the above, side measures of 3, 4, and 5 will form a right triangle. This is the smallest set of integers that will do so. It is also the ratios of the only set of side lengths in arithmetic progression that will do so.
This latter fact can help you rule out choices B and D in this problem, because each of those has sides in the progression 1 : 2 : 3.
(3, 4, 5) triangles come up often in algebra and geometry problems. This is a useful "Pythagorean triple" to remember.
Answer:
10 blocks
Step-by-step explanation
check the image attached, the y coordinate of his school and house are the same that is, -2 so all we have to do is check the distance between x coordinates
that is , -7 and 3
distance between school and his house = 3 - (-7) = 10 blocks
