Explain how you can find the constant of proportionality from a graph representing a proportional relationship when it shows a p
1 answer:
For a proportional relationship, the constant is found dividing all values of y by each respective value of x.
<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.
The constant can be represented as follows:
Hence the constant is found dividing all values of y by each respective value of x.
More can be learned about proportional relationships at brainly.com/question/10424180
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Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )
m = =
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
2x - 3y = 6 ( subtract 2x from both sides )
- 3y = - 2x + 6 ( divide through by - 3 )
y = x - 2 ← in slope- intercept form
with slope m =
Parallel lines have equal slopes , then
=
, so
- 4 - a = 2 ( add 4 to both sides )
-a = 6 ( multiply both sides by - 1 )
a = - 6 → A
Answer:
The perimeter of the garden is 400 feet.
Step-by-step explanation:
Consider the provided information,
Raja is laying tiles on a path that forms the diagonal of a square garden. If Raja is told that the length of the diagonal path is
The length of the diagonal of a square garden is
Let x represent the side of square.
By Pythagorean theorem we know:
Where c is hypotenuse.
The diagonal of the square divides the square into two right angle triangle.
Where, the sides of the square are the legs of the triangle and diagonal is the hypotenuse of the triangle.
Hence, the side of the square is 100 ft.
The perimeter of the square is where s is the side of square.
Hence, the perimeter of the garden is 400 feet.