Answer:
a. 9 1/5
Step-by-step explanation:
Step-by-step explanation:
for that we use Pythagoras, as the distance is always the baseline (Hypotenuse) of a right-angled triangle created by the x and y coordinate differences between the 2 points.
15.
distance² = (8-3)² + (9-2)² = 5² + 7² = 25 + 49 = 74
distance = sqrt(74) = 8.602325267...
16.
we need to write down the point coordinates first :
(-4, 3)
(1, -3)
distance² = (1 - -4)² + (-3 - 3)² = 5² + (-6)² = 25 + 36 = 61
distance = sqrt(61) = 7.810249676...
Answer:B
Step-by-step explanation: 113,000 - 71,500 = 41,500
Answer:
![\sqrt[3]{x^{5}y} = x^{\frac{5}{3}}y^\frac{1}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B5%7Dy%7D%20%3D%20x%5E%7B%5Cfrac%7B5%7D%7B3%7D%7Dy%5E%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
Given
![\sqrt[3]{x^{5}y}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B5%7Dy%7D)
Required
The equivalent expression
We have:
Rewrite as an exponent
![\sqrt[3]{x^{5}y} = (x^{5}y)^\frac{1}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B5%7Dy%7D%20%3D%20%28x%5E%7B5%7Dy%29%5E%5Cfrac%7B1%7D%7B3%7D)
Open bracket
![\sqrt[3]{x^{5}y} = x^{5*\frac{1}{3}}y^\frac{1}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B5%7Dy%7D%20%3D%20x%5E%7B5%2A%5Cfrac%7B1%7D%7B3%7D%7Dy%5E%5Cfrac%7B1%7D%7B3%7D)
