Mathematics Middle School

According to the graph, what is the value of the constant in the equation
below?

According To The Graph, What Is The Value Of The Constant In The Equationbelow?

Answers

Answer 1

Answer:

The value of the constant is 0.8

Explanation:

The graph has the following properties:

Horizontal-axis (independent variable): widthVertical-axis (dependent variable): heightPoints on the curve:

        (0.5, 1.6), (0.8, 1), (1.6, 0.5), and (2, 0.4)

The equation represented by the graph is an inverse variation:

Height = constant / width.

From that equation, you can solve for the contstant:

constant = height × width

Now, you can take any ordered pair to find the constant:

(0.5, 1.6) ⇒ constant = 0.5 × 1.6 = 0.8(0.8, 1) ⇒constant = 0.8 × 1 = 0.8(1.6, 0.5) ⇒ constant = 1.6 × 0.5 = 0.8(2, 0.04) ⇒ constant = 2 × 0.4 = 0.8

Thus, you have obtained that the constant is 0.8.

Related Questions

Line m passes through the points (3.7) and (6, 12) while line n passes
through the points (-5, 1) and (-2, 6).
Which statement accurately describes the relationship between the two
lines?

Answers

Answer:

The line n is parallel to the line m.

Step-by-step explanation:

Calculate slopes.

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Line m:

(3, 7), (6, 12)

[tex]m=\dfrac{12-7}{6-3}=\dfrac{5}{3}[/tex]

Line n:

(-5, 1), (-2, 6)

[tex]m=\dfrac{6-1}{-2-(-5)}=\dfrac{5}{3}[/tex]

The lines have the same slope. That is why they are parallel.

Write an equation of a line in point-slope form that is perpendicular to the line y=1/2x-7 and goes through the point (4,-3)

Answers

Answer:

y = - 2x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{2}[/tex] x - 7 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2, hence

y = - 2x + c ← is the partial equation of the perpendicular line

To find c substitute (4, - 3) into the partial equation

- 3 = - 8 + c ⇒ c = - 3 + 8 = 5

y = - 2x + 5 ← equation of perpendicular line

what is the purpose of algebraic expressions?

Answers

Answer:

Algebraic expressions are useful because they represent the value of an expression for all of the values a variable can take on

What is the best definition of a triangle?

Answers

Answer:

A figure formed by 3 segments connecting 3 non-colinear points.

Answer:

Hi there!

The answer to this question is: C

A figure formed by three segments connecting three noncollinear points

100 PT QUESTION PLEASE HELP I WOULD REALLY APPRECIATE IT

Leo and Kamran go to high school together. There are a total of 1000 students in their grade. Out of the 6 periods they have, only 2 of their classes can be together. What is the percent probability that Leo and Kamran have a class together?

Answers

2/1000

0.002%

2/6

0.33%

0.002%×0.33%

The percentage of yall being in the same class is 0.00066%

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