Answer:A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
First you simplify the fraction and variables inside the root. Reduce 126/32 and use exponent rules for dividing variables(subtract the exponents). This will give you,
![\sqrt{ \frac{63 {y}^{5} }{16 {x}^{2} } }](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B63%20%7By%7D%5E%7B5%7D%20%7D%7B16%20%7Bx%7D%5E%7B2%7D%20%7D%20%7D%20)
Then move onto the root. Using radical properties you take the root of the numerator and denominator seperately. Since the root of the numerator is not a rational number or perfect square it stays as,
![\sqrt{63 {y}^{5} }](https://tex.z-dn.net/?f=%20%5Csqrt%7B63%20%7By%7D%5E%7B5%7D%20%7D%20)
Altogether the new equation will be this,
![\frac{ \sqrt{63 {y}^{5} } }{4x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B63%20%7By%7D%5E%7B5%7D%20%7D%20%7D%7B4x%7D%20)
You can still simplify this further by reducing the radical in the numerator.
You prime factor it to give you 7×9 = 63 which lets you factor out a 3. You can also factor out 4 of the y variables. Breaking down the numerator you get this.
![\sqrt{ {3}^{2} } \sqrt{ {y}^{4} } \sqrt{7y}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%7B3%7D%5E%7B2%7D%20%7D%20%20%5Csqrt%7B%20%7By%7D%5E%7B4%7D%20%7D%20%20%5Csqrt%7B7y%7D%20)
Which simplifies to,
![3 {y}^{2} \sqrt{7y}](https://tex.z-dn.net/?f=3%20%7By%7D%5E%7B2%7D%20%20%5Csqrt%7B7y%7D%20)
Your final simplest form equation is,
Answer:
Step-by-step explanation:
y=-2x+3
y=(-2*-3)+3
y=6+3
y=9
Answer:
Step-by-step explanation:
A = mR - R
R(m - 1) = A
R = A / (m - 1)