Answer:
a
Step-by-step explanation:
Direct proportion is when two numbers move in the same direction. If one of the numbers increase, the other number increases and if the one of the numbers decrease, the other number decreases. The magnitude of the movement of the numbers is bounded by a constant
The expression for direct proportion is
y ∝ kx
where k is the constant
let illustrate with an example :
If x = 10
k = 4
y = 10 x4 = 40
I think this question is a part of another question; you can have any ratio that can add up to 114 cm.
They give us 2 pieces to the puzzle. Both are positive numbers...x and y.
1.) 1 number is 1 less than twice another number. (x = 2y -1)...and
2.) the sum of their squares is 106. (x^2 + y^2 = 106).
substitute the value for x into the second equation.
(2y-1)^2 + y^2 = 106
(2y-1) (2y-1) + y^2 = 106 (use distributive property)
4y^2 - 2y - 2y + 1 + y^2 = 106 (subtract 106 from both sides)
4y^2 - 2y - 2y + 1 + y^2 - 106 = 106 - 106 (combine like terms)
5y^2 - 4y - 105 = 0 (factor)
(y-5) (5y-21) = 0 (set to 0)
y - 5 = 0
y = 5
substitute the 5 into the equation for y (x = 2(5) - 1)
x = 9 if we square 9, we get 81.
subtracted from 106 we have 25...the square root of 25 is 5.
our answers are 5 and 9.
Answer:
Acceleration: 2.2 m/s^2
Step-by-step explanation:
F=M/A
7.92/ 3.6
2.2.
Your question to that answer is irrational
