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horsena [70]
3 years ago
9

What’s the linear equation for (1,21)(2,33)(3,45)(4,57)

Mathematics
1 answer:
nalin [4]3 years ago
7 0

The linear equation representing the above said pair of points is "y=12x+9"

Step-by-step explanation:

The given set of points are  

x Y

1 21

2 33

3 45

4 57

For finding the linear equation for the given sets of value

We must know the generic form of a linear equation is y=m*x + c

m= slope of the line where y= Δy/Δx  

Δy= change in y value

Δx= change in x value

Thus slope ”m” = 33-21/2-1 = 12

we put slope “m” in the equation which becomes y=12x+c

Now we put any of the set value in the equation

33= 12*2+c ∴ c=9

Hence required linear equation is y=12x+9

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2x + y = 7
jolli1 [7]

Answer:

(2/3, 17/3)

Step-by-step explanation:

put x and y coordinates value in given equation to check equality. it equality holds that's the coordinates we are looking for.

here 2nd coordinate holds the equality

6 0
3 years ago
A shade of green paint is made by mixing blue paint and yellow paint in the ratio of 4 to 3. How many pints of blue paint and ye
nexus9112 [7]

Answer:

Blue = 12

Yellow = 9

Step-by-step explanation:

Given

Blue : Yellow = 4 : 3

Required

Determine the number of pints of each to make 21 of green paints

First, calculate the total ratio.

Total = 4 + 3

Total = 7

The blue and the yellow pint can be represented individually as:

Blue = \frac{4}{7} * Green

Yellow = \frac{3}{7} * Green

Number of blue paint calculated last week is:

Blue = \frac{4}{7} * 21

Blue = {4} * 3

Blue = 12

Yellow = \frac{3}{7} * Green

Yellow = \frac{3}{7} * 21

Yellow = {3} * 3

Yellow = 9

8 0
3 years ago
I need help with my assignment but dont know how to do it/ what should i do?
ohaa [14]

Answer:

first explain what you need help with specifically then maybe people can help, to bland of a question

5 0
3 years ago
A system of linear equations with fewer equations than unknowns is sometimes called an underdetermined system. Can such a system
elena55 [62]

Answer:

No, it cannot have a unique solution. Because there are more variables than​ equations, there must be at least one free variable. If the linear system is consistent and there is at least one free​ variable, the solution set contains infinitely many solutions. If the linear system is​ inconsistent, there is no solution.

Step-by-step explanation:

the questionnaire options are incomplete, however the given option is correct

We mark this option as correct because in a linear system of equations there can be more than one solution, since the components of the equations, that is, the variables are multiple, leaving free variables which generates more alternative solutions, however when there is no consistency there will be no solution

3 0
3 years ago
What is the volume of a cylinder, in cubic centimeters, with a height of 7 centimeters
devlian [24]

Answer:

The volume of a cylinder is 1782\ cm^3.

Step-by-step explanation:

We have,

Height of cylinder, h = 7 cm

Diameter of cylinder, d = 18 cm

Radius, r = 9 cm

It is required to find volume of cylinder. The formula of the volume of cylinder is given by :

V=\pi r^2h\\\\V=\dfrac{22}{7}\times (9)^2\times 7\\\\V=1782\ cm^3

So, the volume of a cylinder is 1782\ cm^3.

3 0
3 years ago
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