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3 years ago

What is the distance between the points (3, 7) and (15, 16) on a coordinate plane?

1 answer:

7 0

Square root of (3-15)^2 +(7-16)^2
Square root of (-12)^2 + (-9)^2
Square root of 144+81
Square root of 225
The distance is 15

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Fiona was playing a game. She started on space #8. The cards told her to move forward 12 spaces, back 10 spaces, back 1 space an

solong [7]

Answer:

B. Space 14

Step-by-step explanation:

8 + 12 = 20

20 - 10 = 10

10 - 1 = 9

9 + 5 = 14

So the answer is Space 14.

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2 years ago

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Which of the economic goals correlates with the explanation "the ability of people to make choices"?

valentinak56 [21]

The correct answer is D, freedom. This is because equity only refers to everything being equal, innovation refers to the a new idea, and efficiency refers to being able to do something with ease. Only freedom makes sense in regards to people being able to make their own choices.

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3 years ago

Solve x2-8x=3 by completing the square. which is the solution set of the equation

Mazyrski [523]

we have

$x^{2}-8x=3$

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2}-8x+16=3+16$

$x^{2}-8x+16=19$

Rewrite as perfect squares

$(x-4)^{2}=19$

$(x-4)^{2}=19\\ (x-4)=(+/-)\sqrt{19} \\ \\ x1=4+\sqrt{19} =8.359\\ x2=4-\sqrt{19} =-0.359$

therefore

the answer is

$x1=4+\sqrt{19} =8.359\\x2=4-\sqrt{19} =-0.359$

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3 years ago

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The sum of 3 and a number is less than 5 times the number plus 2.

Leno4ka [110]

Answer:

3+x<5x+2

Step-by-step explanation:

the sum of the number 3+xis less than so 3+x<5×x+2

so final ans is 3+x<5x+2

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3 years ago

Ten minus One-third of a number is 4

zloy xaker [14]

Ok, so you automatically know that you are subtracting 6 from 10 to get 4. So, in order to figure out how it is 1/3 of that number, it is going to be multiplied by 3, getting 18. So, the number would be 18.

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3 years ago

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