Michael took the return trip at a velocity 33.75 miles per hour.
<h3>How fast did Michael drive in his return trip?</h3>
Let suppose that Michael drove in <em>straight line</em> road and at <em>constant</em> velocity. Therefore, the speed of the vehicle (v), in miles per hour, can be defined as distance traveled by the vehicle (d), in miles, divided by travel time (t), in hours.
First trip
45 = s / 3 (1)
Second trip
v = s / 4 (2)
By (1) and (2):
45 · 3 = 4 · v
v = 33.75 mi / h
Michael took the return trip at a velocity 33.75 miles per hour.
To learn more on velocities: brainly.com/question/18084516
#SPJ1
Answer:
Step-by-step explanation:
Move 
to the denominator in 
using the negative exponent rule 
The square root of 1764 using perfect factors is 42
<h3>How to determine the
square root using
perfect factors?</h3>
The number is given as:
1764
Rewrite as
x^2 = 1764
Express 1764 as the product of its factors
x^2 = 2 * 2 * 3 * 3 * 7 * 7
Express as squares
x^2 = 2^2 * 3^2 * 7^2
Take the square root of both sides
x = 2 * 3 * 7
Evaluate the product
x = 42
Hence, the square root of 1764 using perfect factors is 42
Read more about perfect factors at
brainly.com/question/1538726
#SPJ1
Answer:
The answer to your question is: (2a + 2b)²
Step-by-step explanation:
a² + b² = z
ab = y
Which is equivalent to 4z + 8y ?
Substitution
4(a² + b²) + 8(ab)
Simplify 4a² + 4b² + 8ab
Order 4a² + 8ab + 4b² It's a perfect square trynomial
Factorize (2a + 2b)²
