Question

Can someone answer these three questions? Thank you

Answer 1

Answer:

D, B, B

Step-by-step explanation:

Question 1: D

We need to solve for x.

z = 2π * (x / y)¹/²

z = 2π * (x¹/² / y¹/²)

z = 2π * (√x / √y)

z = √x * 2π / √y

√x = √y * (z / 2π)

x = y(z /2π)²

Question 2: B

(x⁵ + x⁴) / (x³ + x²)

= x⁴(x + 1) / x²(x + 1)

= x⁴ / x² = x⁽⁴⁻²⁾ = x²

Question 3: B

Let's try out A. Substituting p = 1, q = 1:

√1 * √1 = √(1 + 1)

1 * 1 = √2

1 = √2 FALSE

Let's try B. Substituting p = 2, q = 2:

√2 * √2 = √(2 + 2)

√4 = √4 TRUE so the answer is B.