Answer: x = 6 y = 5
Step-by-step explanation: coz I juss know
Answer:
If is positive, then the parabola opens upward, so the function decreases on and increases on . But if is negative, then just the reverse
Answer:
A, C, and D.
Step-by-step explanation:
<XYZ appears in the diagram as the vertex angle Y, has two sides, YW and YX that intersect at point Y to form <XYZ.
Thus, <XYZ, line segments YW and YX all appear in the diagram given.
<YXZ does not appear because there's no vertex angle labelled X.
The length of the ramp is unknown.
If 6 ramps were cut from a board that is 12 1/2 feet long, the ramps would be about 2 feet long each which seems like a reasonable answer. The questions regarding how many boards are cut would need the length of the ramps. Lets say that the length is x. You can get 12 1/2 divided by x boards. In order to find out how much is left over, take the number of boards made, multiply it by how long they are. This product is then subracted from 12 1/2.
Answer:
The equivalent expression to the given expression is ![\sqrt[3]{32x^8y^{10}}=2x^2y^3\sqrt[3]{4x^2y}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E8y%5E%7B10%7D%7D%3D2x%5E2y%5E3%5Csqrt%5B3%5D%7B4x%5E2y%7D)
Step-by-step explanation:
The given expression is ![\sqrt[3]{32x^8y^{10}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E8y%5E%7B10%7D%7D)
To find the equivalent expression:
![\sqrt[3]{32x^8y^{10}}=(32x^8y^{10})^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E8y%5E%7B10%7D%7D%3D%2832x%5E8y%5E%7B10%7D%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
We may write the above expression as below:
(using square root properties)
![=(2\sqrt[3]{4})(x^2\sqrt[3]{x^2})(y^3\sqrt[3]{y})](https://tex.z-dn.net/?f=%3D%282%5Csqrt%5B3%5D%7B4%7D%29%28x%5E2%5Csqrt%5B3%5D%7Bx%5E2%7D%29%28y%5E3%5Csqrt%5B3%5D%7By%7D%29)
(combining the like terms and doing multiplication )
![=2x^2y^3\sqrt[3]{4x^2y}](https://tex.z-dn.net/?f=%3D2x%5E2y%5E3%5Csqrt%5B3%5D%7B4x%5E2y%7D)
Therefore
Therefore the equivalent expression to the given expression is
