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nikklg [1K]
3 years ago
9

Triangle ABC has vertices A(0,4), B(1,2), and C(4,6). Determine whether ABC is a right triangle. Explain

Mathematics
1 answer:
34kurt3 years ago
3 0
For it to be a right triangle, it must have a right angle.
Right angles are formed by perpendicuar lines.
If we find that two of these lines are perpendicular, we will know it is a rt. triangle.

Perpendicular lines have slopes which are opposite reciprocals (like 3 and -1/3)

To find the slope between two points, use the formula m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}.

For line AB:
m=\frac{2-4}{1-0}=\frac{-2}{1}=-2

For line AC:
m=\frac{6-4}{4-0}=\frac{2}{4}=\frac{1}2

For line BC:
m=\frac{6-2}{4-1}=\frac{4}{3}

-2 and 1/2 are opposite reciprocals, so this must be a right triangle.
<em>
</em><em>Another way to do this would be to use the distance formula to find the three side lengths and see if the Pythagorean Theorem applies.</em>

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Question Progress
Alik [6]

Answer:

60 ; - 40 ; 22 ; - 11

Step-by-step explanation:

Given that:

Number of questions = 20

Rules :

Every correct answer scores 3 points.

Each incorrect answer loses 2 points.

A question not answered scores 0 points.

It is possible to finish the quiz with a negative score.

a)

Maximum score : answering all questions correctly :

(3 points * 20 questions)

= 3 * 20

= 60 points

b)

Minimum score is obtainable by answering all questions incorrectly ;

(-2 points * 20)

= - 40 points

c)

10 correct answers = (3 * 10) = 30 points

(14 - 10) = 4 incorrect answers = (-2 * 4) = - 8 points

Net total = 30 + (-8) = 30 - 8 = 22 points

d) Another student answers 18 questions,

5 are correct. How many points does she score?

5 correct answers = (5 * 3) = 15 points

(18 - 5) incorrect answers = (13 * - 2) = - 26 points

Net total = 15 + (-26) = - 11 points

4 0
2 years ago
Dough says that the opposite of -2/5 is 5/-2 is he correct
Eduardwww [97]

Answer:

No he is not correct. As the answer would be -2/5 = -0.4 and 5/-2 = -2.5 as the answer is also not opposite.

7 0
3 years ago
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How can I work out 30% of (blank) is 60?
geniusboy [140]
60/ (30/100)
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3 0
3 years ago
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Help? I don’t understand it mainly cause HOW ARE YOU SUPPOSED TO
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Answer:

83

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7 0
3 years ago
Janie has 4 pieces of fruit. 2 of the pieces of fruit are bananas. Write 2 fractions that describe the fraction of fruit that ar
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Answer:

1/2

Step-by-step explanation:

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2/2          1

------ = ---------

4/2          2        

8 0
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