The distance between two points knowing theirs coordinates:
AB =√[(x₂-x₁)² +(y₂-y₁)²]; ===>A(-2,4) & B(0,-6) Given
A(x₁,y₁) & B(y₂,y₁)
AB =√[(0-(-2))²+(-6-4)²] =√(104) = 10.198 ≈ 10.2
Answer:
D. 5/6
Step-by-step explanation:
There are 30 marbles
If you add the black, red, and green marbles together, you get 25
25/30 is equivalent to 5/6
By representing the equation is written in the form y = ax + b .
The value of b is 8.
According to the question
A start-up company opened with 8 employees.
So, Number of employees = 8
At zero quarter = 8
The company’s growth plan assumes that 2 new employees will be hired each quarter
After 1 quarter = Number of employees + 2 new employees
After one quarter = 8 + 2 = 10
Equation is written in the form y = ax + b to represent the number of employees, y, employed by the company x quarters after the company opened
y = ax + b
10 = 2 × 1 + b
10 = 2 + b
Subtract 2 on both sides of the equation
b = 10 - 2
b = 8
The value of b is 8.
Find out more information about equation here
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The constant of the proportional relationship graphed in this problem is of 10.
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the points on the graph are: (0,0), (2,20), (4,40), ..., hence the constant is:
k = 40/4 = 20/2 = 10.
More can be learned about proportional relationships at brainly.com/question/10424180
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