What is the length of segment TR with T(-4,5) and R(2, -1)​

Answers

Answer 1

Answer:

The length of segment TR with T(-4,5) and R(2, -1)​ is 8.49

Step-by-step explanation:

We need to find the length of segment TR with T(-4,5) and R(2, -1)​

The length of segment can be found using distance formula.

The distance formula is: [tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Putting values and finding length

We have: [tex]x_1=-4, y_1=5, x_2=2, y_2=-1[/tex]

[tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance = \sqrt{(2-(-4))^2+(-1-5)^2}\\Distance = \sqrt{(2+4)^2+(-1-5)^2}\\Distance = \sqrt{(6)^2+(-6)^2}\\Distance = \sqrt{36+36}\\Distance = \sqrt{72}\\Distance=8.49[/tex]

We found Distance = 8.49

So, The length of segment TR with T(-4,5) and R(2, -1)​ is 8.49.


Related Questions



Japanese students go to school about 66% of the
days of the year. About how many school days do Japanese students
have in a 365-day year?

Answers

Answer:

240.9 (241)

Step-by-step explanation:

66% of 365 is 240.9, which can be simplified to 241 days of 365.

the answer is 240.9 hope this helps

Which equation represents the pattern in the table?

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arnold wants to make chocolate chip cookies. his recipe calls for 5 cups of flour. his spoon holds 1/6 cup of flour. how many times will arnold need to fill his spoon to get the 5 cups of flour? group of answer choices

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Answer:

30 times

Step-by-step explanation:

It will take 6 spoonfuls to make one cup of flour, so you multiply 6 by 5 to get 30 spoonfuls.

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Answer:

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Wendella the dog is weighed every week with her collar on. This weight in pounds is represented by p. The collar weighs 2 pounds. Which expression represents the weight of Wendella without her collar on?

Answers

Answer:

p - 2

Step-by-step explanation:

Because the collar weighs two pounds, to find how much the dog would weigh without the collar, you simply have to subtract two pounds from the final count, represented by p.

Answer:

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Jackie has a collection of stamps and coins. The total number of stamps and coins is 81. The number of coins is one more than three times the number of stamps. Find out how many stamps and coins Jackie has. Part A: Write let statements that represent the variables in this situation (2 points) Part B: Set up a system of equations that you can use to solve this problem? (2 points) Part C: Solve the system from (b) by using either substitution or elimination *show all solving steps*. (4 points) Part D: Write a solution statement answering the question

Answers

Answer:

Jackie collected 61 coins and 20 stamps

Step-by-step explanation:

Solving (a): Variable representation

Let the coins be represented with c

Let the stamps be represented with s

Solving (b): Setup equation

Total is 81. This implies that:

[tex]s + c = 81[/tex]

Also:

[tex]c = 1 + 3s[/tex]

Solving (c): Solve the system

Substitute 1 + 3s for c in [tex]s + c = 81[/tex]

[tex]s + 1 + 3s = 81[/tex]

Collect Like Terms

[tex]s + 3s = 81-1[/tex]

[tex]4s= 80[/tex]

Divide both sides by 4

[tex]s = \frac{80}{4}[/tex]

[tex]s= 20[/tex]

Substitute 20 for s in [tex]c = 1 + 3s[/tex]

[tex]c = 1 + 3 * 20[/tex]

[tex]c = 1 + 60[/tex]

[tex]c = 61[/tex]

Solving (d): Solution statement

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Answers

Answer:

zero property of addition

Step-by-step explanation:

A company is designing a square prism. It's height is 3 yards longer than a side of its base. The volume of the prism must be 20 cubic yards. (V=l*w*h) Write a representative function for the volume of the solid

Answers

Answer:

l³+3l - 20 = 0

Step-by-step explanation:

Given the volume of a prism expressed as;

V = lwh

l is the length of the prism

w is the width

h is the height of the prism

Since the prism is square based, l = w

The formula becomes

V = l²h

If its height is 3 yards longer than a side of its base, then h = l+3

V = l²(l+3)

V= l³+3l

Given V = 20yd³

The expression becomes

20 = l³+3l

l³+3l - 20 = 0

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Answer:

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Step-by-step explanation:

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The vertex
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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

the last one

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Answer:

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Step-by-step explanation:

The answer is C) -2/3

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Step-by-step explanation:

Its option D

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Answer:

It's D ...

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Step-by-step explanation:

They are linear pairs meaning they form a straight line.

Angles that form a straight line are ALWAYS supplementary (they add up to 180°)

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A population of cheetahs has decreased 30% over the last 18 years if they're originally about 12,000 cheetahs how many cheetahs are there now?

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Answer:

The constant term in the expression is 7

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

[tex] {x}^{2} - 3x + 4 + 4 {x}^{2} - (x + 12)[/tex]

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Answers

Answer:

-12

Step-by-step explanation:

integer rule = when a + and - comes it is indicated as - so ..

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Answer:

-12

Step-by-step explanation:

Note the rules of the signs:

If there are two positive signs next to each other, the resulting sign will be positive. Example + (+  ).

If there is one negative sign and one positive sign directly next to each other, the resulting sign will be negative Example - (+  ) or + (-  ).

If there are two negative signs directly next to each other, the resulting sign will be positive. Example - (-  ).

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8 + (-20) = 8 - 20 = -12

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Step-by-step explanation:

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Solve the following system using the Elimination Method; 6x+y=10 and 2x+y=12.

Answers

Hey there!

The solution to the system is [tex](\frac{1}{2}, 13)[/tex]

To solve the system, we can multiply the second equation by -1:

[tex]-2x - y = -12[/tex]

Then, we add the two equations together, and solve for x:

[tex]4x = -2[/tex]

[tex]x = \frac{-1}{2}[/tex]

Now, we plug the x value into one of the equations, and solve for y:

[tex]2(\frac{1}{2} ) + y = 12[/tex]

[tex]-2 + y = 12[/tex]

[tex]y = 13[/tex]

Now we know that the solution to the system is [tex](\frac{1}{2}, 13)[/tex]

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Answer:

(-1/2, 13)

Step-by-step explanation:

Multiply the 2nd equation by -1, obtaining the following system:

6x + y = 10

-2x  - y = -12

------------------

Combine like terms, obtaining:

6x + y = 10

-2x  - y = -12

------------------

4x     = -2

Dividing both sides by 4 yields x = -2/4, or x = -1/2

Substituting -1/2 for x in the second equation yields:

2(-1/2) + y = 12, or

-1 + y = 12.  Then y = 13, and the solution is

(-1/2, 13)

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Answers

Step-by-step explanation:

Price increase = $80 - $52 = $28.

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Answer:

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answer:

Step-by-step explanation:

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