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amm1812
3 years ago
13

Two vertices of a right triangle are (0,1) and (0,6). The area of the triangle is 10 square units. Which point could be the thir

d vertex of the triangle?
Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0
The correct answer for the question that is being presented above is this one: "(4,1)."

The distance from (0,1) to (0,6) is 5 units.
The area of a triangle is 
Area = bh/2
10 = 5b/2
20 = 5b
b = 4

The distance of the base is 4 units. So, from (0,1) count 4 units to the right but on the same y coordinate. 

So the point is in (4, 1).
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3 years ago
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irga5000 [103]

Answer:

y = -x/2 + 1/2 or

y = -1/2 x + 1/2

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Step-by-step explanation:

Slope-intercept form is:

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So we have to get the y all by itself on the left.

2y + x = 1

Subtract x from both sides.

2y = 1 - x

Divide both sides by 2. Divide all the terms by 2.

2y/2 = 1/2 - x/2

Simplify.

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I think this is a good, reasonable and correct answer. But maybe you really want to see that m number (the slope) out in front of the x. Then you can write is as:

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2 years ago
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slega [8]

Answer:

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7 2/3 can be "translated" into 3 times 7 plus 2 which is 22, so now it's 22 over 3.

5 5/8 can be "translated" into 8 times 5 plus five is forty five, so now it's 45 over 8.

We now need a common denominator.

Multiples of 8: 8, 16, 24, 32

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24

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Now you have to multiply 45 and 3 since 8 times 3 equals 24 and so you have to do it to the numerator, too.

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3 years ago
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