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den301095 [7]
3 years ago
7

Which equation correctly shows how to determine the distance between the points (9,-2) and (6.3) on a coordinate grid?

Mathematics
1 answer:
Nastasia [14]3 years ago
7 0

Answer:

d = \sqrt{(6 - 9)^{2}+ (3 - (-2))^{2} }

Step-by-step explanation:

The distance formula is d= \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}     }.

6 is x_{2}, 9 is x_{1}, 3 is y_{2}, and -2 is y_{1}.

When you plug these into the formula, you get d = \sqrt{(6 - 9)^{2}+ (3 - (-2))^{2} }

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Olenka [21]
Number 14 is 61 and Number 16 is 36..,.



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3 years ago
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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 2 small boxes has a t
nikdorinn [45]

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Step-by-step explanation:

Let,

Weight of large box = x

Weight of small box = y

According to given statement;

5x+2y=102      Eqn 1

3x+8y=153      Eqn 2

Multiyplying Eqn 1 by 4

4(5x+2y=102)\\20x+8y=408\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(20x+8y)-(3x+8y)=408-153\\20x+8y-3x-8y=255\\17x=255

Dividing both sides by 17

\frac{17x}{17}=\frac{255}{17}\\x=15

Putting x=15 in Eqn 2

15(3)+8y=153\\45+8y=153\\8y=153-45\\8y=108

Dividing both sides by 8

\frac{8y}{8}=\frac{108}{8}\\y=13.5

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/10541435
  • brainly.com/question/10666510

#LearnwithBrainly

4 0
4 years ago
Solve the system of linear equations by substitution
Bond [772]

Answer:

(-4, 5)

Step-by-step explanation (work shown in attached picture):

1) Since x is already isolated in the first equation, substitute that value for x into the other equation to find y. So, substitute 16-4y for the x in 3x + 4y = 8, then solve for y. This gives us y = 5.

2) Now, substitute that given value for y back into any one of the equations to find x. I chose to do it in the first equation. Substitute 5 for the y in x = 16-4y, then solve for x this time. This gives us x = -4.

Since x = -4 and y = 5, the solution is (-4, 5).  

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3 years ago
The pentagons JKLMN and PQRST are similar.<br> Find the length x of PQ????? Help plssss
wariber [46]

Answer:

4.5

Step-by-step explanation:

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3 years ago
Solve the system of equations by the substitution method
slava [35]

Answer:

x=0.5

y = 10.5

Step-by-step explanation:

y = 3x + 7

y = 5x + 8

3x + 7 = 5x + 8

3x - 5x=  8 - 7

2x = 1

x= 1/2

x=0.5

y = 5x + 8

y = 5(0.5) + 8

y = 2.5 + 8

y = 10.5

8 0
3 years ago
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