Answer:
y=3x+1
Step-by-step explanation:
A parallel line has the same slope as the other line.
y=mx+b, m is the slope
Thus in y=3x+1, m =3
y = 3x + b
plug in points (1, 4) to determine b
4 = 3(1) + b
4 = 3 + b
subtract 3 on both sides
4 - 3 = b
b = 1
y = 3x + 1
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97 is a prime number.
Prime factorization: 97 is prime.
The exponent of prime number 97 is 1. Adding 1 to that exponent we get (1 + 1) = 2 Factors of 97: 1, 97.
Factor pairs: 97 = 1 x 97.
97 has no square factors that allow its square root to be simplified. √97 ≈ 9.8488578.
5/10 because you multiply the denominator and numerator by 5
Neither.
This is because one equation is without variables and the other is with variables.
You can cancel out nothing
Answer:
36 boards
Step-by-step explanation:
The boards are as long as the room, so I only had to worry about the width. If the boards were 1/2 ft wide, I would need 2 boards for every foot of width. For 16 ft, I would need 32 boards.
Instead of dividing, I wrote the equivalent multiplication by multiplying by the reciprocal of 11/24 (the reciprocal of 11/24 is 24/11)
I simplified by dividing both 2 and 24 by 2, and both 11 and 33 by 11.
Therefore he needs 36 boards
