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quester [9]
3 years ago
5

(05.05)On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2). What is the length of

Side RT of the polygon? 4 unit 6 units 7 units 11 units
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
6 0

Answer:  11 units

Step-by-step explanation:

Given: On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2).

To find : length of Side RT of the polygon.

Using distance formula  to find distance between (a,b) and (c,d):

d=\sqrt{(d-b)^2+(c-a)^2}

Length of RT = \sqrt{(2-2)^2+(5-(-6))^2}

\\\\=\sqrt{0+(5+6)^2}\\\\= \sqrt{11^2}\\\\=11

hence, the length of RT = 11 units.

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5.00 i think is the right way
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Ken has a pole that is 26 inches long. He wishes to cut it into two pieces so that one piece will be 8 inches longer than the ot
Yuliya22 [10]

Answer:

9 inches

Step-by-step explanation:

Do the question algebraically, represented by this equation:

let x be the shorter piece

x + (x + 8) = 26                      (longer piece is 8 units longer)

Remove brackets

x + x + 8 = 26                 Combine like terms              

2x + 8 = 26                   Start isolating "x"

2x + 8 - 8 = 26 - 8           Subtract 8 from both sides

2x = 18

2x/2 = 18/2           Divide both sides by 2

x = 9                    shorter piece

The shorter piece would be 9 inches.

If you needed the longer piece too:

longer piece = x + 8

x + 8

= 9 + 8

= 17

The longer piece would be 17 inches.

Check your answer:

Longer + Shorter = 26           Substitute the lengths

17 + 9 = 26                    Add

26 = 26                same number

LS = RS                left side equals right side

The answer is correct.

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3 years ago
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Alex73 [517]

The degree of the monomial 3x4y3 is 7

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2 years ago
Solve for x: 3√5x² +25x-10√√5 = 0
bogdanovich [222]

Answer:  x = - 2√5, √5/3

Step-by-step explantion

3 √ 5 x 2 + 25 x − 10 √ 5 = 0 35x2+25x−105=0

⇒ 3√5x2 + 30x – 5x – 10√5 = 0  

⇒ 3√5x(x + 2√5) – 5(x + 2√5) = 0  

⇒ (x + 2√5)(3√5x – 5) = 0

x = - 2√5, √5/3

3 0
2 years ago
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Rebecca filled 28 glasses with orange juice for a camp breakfast. if each glass holds 1 cup of juice, how many quarts of orange
Art [367]

The number of quarts of orange juice did Rebecca use is 7

Given that 28 glasses with orange juice are filled for a camp breakfast

Each glass holds 1 cup of juice

We need to find the number of quarts of orange juice did Rebecca use  

We know that a quarts has 4 cups

We need to calculate the quarts from 28 glasses  

Let the number of the quarts be x

So the equation formed is

4x = 28

Where x is number of quarts and 28 are the number of glasses

x = 7

Hence the number of quarts is 7

Learn more about Logical reasoning here

brainly.com/question/14458200

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