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Scorpion4ik [409]
2 years ago
15

How to calculate the distance for graphs?

Mathematics
1 answer:
ollegr [7]2 years ago
4 0

Answer:

\sqrt{(x1-x2)^{2}+(y1-y2)^{2} }

Step-by-step explanation:

This is the distance formula for cartesian coordinate systems, or your typical xy graph. If given two points to find the distance between, you can assign '1' or '2' to the points, i.e. (1,1) and (2,2) could be: (1,1) is (x1,y1) and (2,2) is (x2,y2). It doesn't matter which point is 1 or 2. If we were to use those example points in this formula, we would have:

\sqrt{(1-2)^{2}+(1-2)^{2}}

We can simplify and come up with:

\sqrt{(-1)^{2}+(-1)^{2}}

=\sqrt{2}

We must remember that square roots can be positive OR negative, HOWEVER, because you are looking for a distance it must be positive \sqrt{2}.

Hope this helped!

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ALGEBRAIC PROOF!!!! PLS HELP!!! The area of a rectangular blanket is 20 square feet. The blanket's length is (2x + 1) ft and the
Fynjy0 [20]

Answer:

Length: 5 ft; width: 4 ft.

Step-by-step explanation:

A = LW     formula for area of rectangle

(2x + 1)(2x) = 20      substitute length, width, and area into formula

4x² + 2x - 20 = 0      use the distributive property to multiply out left side

2x² + x - 10 = 0         divide both sides of equation by 2

(2x + 5)(x - 2) = 0        factor out trinomial

2x + 5 = 0  or  x - 2 = 0        use zero product rule to solve for x

2x = -5  or x = 2       subtract 5 from both sides; add 2 to both sides

x = -5/2  or  x = 2

We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.

Length: 2x + 1 = 2(2) + 1 = 5

Width: 2x = 2(2) = 4

Length: 5 ft; width: 4 ft.

7 0
3 years ago
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Alexxandr [17]
I would say number 2 but dont take my word for it 
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3 years ago
Luigi is an urban planner. As an independent contractor, he charges a $140 fee plus $25 per hour for
Anuta_ua [19.1K]

Answer:

Function: y=140+25x

Amount earned for 10 hours of work: \$390

Step-by-step explanation:

Let be "x"  the number of hours worked on a project and "y" the total amount Luigi charges for a project.

Based on the data given in the exercise, you can identify that:

  • $140 is a fixed amount.
  • For each hour worked on the project, Luigi charges $25. This can be expressed as: 25x

Then, the total amount he charges for a project is the sum of $140 and 25x. This can be represented with the following function:

y=140+25x

To calculate the amount of money earned for 10 hours of work, you must substitute x=10 into the function and evaluate. Then:

y=140+25(10)\\\\y=390

7 0
3 years ago
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Aleksandr [31]

Answer:

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4 0
3 years ago
A circle has a radius of 12 inches. Find the length of the arc intercepted by a central angle of 120 degrees to the nearest tent
OlgaM077 [116]

Answer:

25.12 inches

Step-by-step explanation:

We have given the radius of the circle =12 inches

The central angle intercepted by the arc =120°

We have to find the length of the arc

So length of the arc is given by 2\pi \times r\times \frac{central\ angle}{360}

=\frac{2\times \pi \times 12\times 120}{360}=25.12inches

So the length of the arc will be 25.12 inch

3 0
3 years ago
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