Direct variation is y=kx, inverse variation is y=k/x....
-5y=-2x divide both sides by -5
y=2.5x
So this is a direct variation with a constant of 2.5
Answer:
Step-by-step explanation:
hello :
p²+30p = p(p+30)
Answer:
x = 1.75y + 0.25z
Step-by-step explanation:
Simplifying
4x + -7y = z
Solving
4x + -7y = z
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7y' to each side of the equation.
4x + -7y + 7y = 7y + z
Combine like terms: -7y + 7y = 0
4x + 0 = 7y + z
4x = 7y + z
Divide each side by '4'.
x = 1.75y + 0.25z
Simplifying
x = 1.75y + 0.25z
Rationalizing the denominator of ![\frac{\sqrt[3]{2z} }{\sqrt[3]{z^2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B2z%7D%20%7D%7B%5Csqrt%5B3%5D%7Bz%5E2%7D%20%7D)
we get ![\frac{\sqrt[3]{2} }{\sqrt[3]{z} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B2%7D%20%7D%7B%5Csqrt%5B3%5D%7Bz%7D%20%7D)
.
Option D is correct.
Step-by-step explanation:
We need to rationalize the denominator:
Solving:
using Radical rule: ![\frac{\sqrt[n]{x}}{\sqrt[n]{y}}=\sqrt[n]{\frac{x}{y} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5Bn%5D%7Bx%7D%7D%7B%5Csqrt%5Bn%5D%7By%7D%7D%3D%5Csqrt%5Bn%5D%7B%5Cfrac%7Bx%7D%7By%7D%20%7D)
![=\sqrt[3]{\frac{2z}{z^2}}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B2z%7D%7Bz%5E2%7D%7D)
![=\sqrt[3]{\frac{2}{z^{2-1}}}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B2%7D%7Bz%5E%7B2-1%7D%7D%7D)
![=\sqrt[3]{\frac{2}{z^{1}}}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B2%7D%7Bz%5E%7B1%7D%7D%7D)
![=\sqrt[3]{\frac{2}{z}}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B2%7D%7Bz%7D%7D)
We can write it as:
So, rationalizing the denominator of
we get .
Option D is correct.
Keywords: Radical Expression
Learn more about Radical Expression at:
#learnwithBrainly
420:540 or 70:90 or 35:45 or 7:9
Choose either one if I'm wrong I'm sorry
