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3 years ago

Find the distance between the point (3,-1) and (-2,3)?

Mathematics

1 answer:

elena55 [62]3 years ago

3 0

d=√(x2-x)+(y2-y)

d=√(-2-3)²+(3-3)²

d=√(-5)²+(0)²

d=√25+0

d=√25

d=5 (answer)

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A person in the audience of a game show has a 12% chance of winning free movie tickets. What is the chance that a person in the

Leni [432]

There is a 88% chance that the person in the audience does not win free movie tickets.

Out of a 100% chance, there is 12% in winning the tickets. So, 100-12=88.
Answer: 88%

3 0

3 years ago

Given: ZDEF is a right angle. Using a paragraph proof, prove 41 is acute.

Slav-nsk [51]

Let G be some point on the diagonal line away from point E.

Angle DEG represents angle 1.

We're given that angle DEF is a right angle which means it's 90 degrees. Angle DEG is some angle smaller than 90 degrees. By definition, that must mean angle 1 is acute. Any acute angle is smaller than 90 degrees. There's not much else to say other than this is just a definition problem.

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

Extra side notes:

If angle 1 was a right angle, then that would mean angle GEF would have to be 0 degrees; however the diagram shows this isn't the case.

If angle 1 was obtuse, then there's no way we'd be able to fit it into angle DEF. In other words, there's no way to have an angle larger than 90 fit in a 90 degree angle.

4 0

3 years ago

Write the power set of the set A={a,b,c}

Burka [1]

Answer:

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

Step-by-step explanation:

➨ Power Set is the set of all subsets.

First, find the subset of A.

{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅

If you aren't sure that you already have written all subsets or not, use the following formula.

$2^n$ ➩ where n is the number of element/members.

Our number of members are 3, use the following formula.

$2^3=8$

Thus, our subsets should be 8.

As we've already gathered all subsets, write the braces all whole subsets.

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

8 0

3 years ago

This equation shows how the total amount of paper Scott's office has recycled depends on the number of weeks since they started

Elodia [21]

Answer:

1 week

Step-by-step explanation:

Given:

p = 12w

Where,

w = number of weeks the office has been on the new recycling plan

p = total kilograms of paper recycled.

How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper?

Find w when p = 12

p = 12w

12 = 12w

Divide both sides by 12

w = 12/12

= 1

w = 1 week

8 0

3 years ago

Find the Least Common<br>Multiple of 26 and 38.

Drupady [299]

Answer:

494

Step-by-step explanation:

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3 years ago

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