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luda_lava [24]
3 years ago
7

One of the legs of a right triangle measures 15 cm and the other leg measures 10 cm. Find the measure of the hypotenuse. If nece

ssary, round to the nearest tenth.
Mathematics
2 answers:
Olenka [21]3 years ago
6 0

Answer:

18.0 (use 18 if 18.0 is not an answer choice)

Step-by-step explanation:

15²+10²=225+100 = 325

√325 = 18.028 or 18.0 (use 18 if 18.0 is not an answer choice)

Kaylis [27]3 years ago
6 0
The hypotenuse should be 18.03 cm.
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What would be a line perpendicular to (2,3) (5,5)?
ladessa [460]

9514 1404 393

Answer:

  3x + 2y = 0   or   y = -3/2x

Step-by-step explanation:

The relationship between a line and its perpendicular is that their slopes are opposite reciprocals of each other. So, the thing you need to know about the line through the two given points is its slope. That is found using the slope formula:

  m = (y2 -y1)/(x2 -x1) . . . . . . where the two give points are (x1, y1) and (x2, y2)

Putting your point coordinates in this formula gives ...

  m = (5 -3)/(5 -2) = 2/3

Then the perpendicular line will have a slope that is the opposite reciprocal:

  slope of perpendicular = -1/m = -1/(2/3) = -3/2

You have not said whether the perpendicular line must meet any other requirement, so the simplest one we can write is ...

  y = mx + b . . . . . m is the slope and b is the y-intercept

  y = -3/2x . . . . . . has a y-intercept of 0 (goes through the origin)

Multiplying by 2 and adding 3x gives ...

  3x + 2y = 0 . . . . . standard form equation

_____

<em>Comment on the attachment</em>

The geometry program I used to create the attachment wrote the equation of the line through the given points as ...

 2x -3y = -5 . . . . . standard form equation

The equation of a perpendicular line can be created from this form by swapping the x- and y-coefficients and negating one of them. Simply swapping the coefficients would give ...

  -3x +2y = <something>

In standard form, we want the leading coefficient to be positive, so we can choose to negate the x-coefficient. The <something> can be zero to make the line go through the origin.

  3x +2y = 0 . . . . . a perpendicular in standard form

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If you need to have the line go through a particular point, you can determine the constant value (on the right of the = sign) by putting the point coordinates in for x and y.

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Method summary:

  • find the slope of the given line
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3 0
3 years ago
What's the answer????
lara [203]

Answer:

Graph B

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5 0
2 years ago
Given h(x) = -3x - 2 solve for x when h(x) = 1
solmaris [256]

Answer:

-5

Step-by-step explanation:

h(x) = -3x - 2

h(x) = 1

[ just put '1' in place of every 'x' ]

-3(1) -2
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5 0
2 years ago
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Ainat [17]

Answer:

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solve and get

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Step-by-step explanation:

The first step is to recognize that y=7x which means that we can just replace the y in the second equation with 7x

7x-x=15

6x=15

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Then we can solve for y

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y=17.5

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3 years ago
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creativ13 [48]

Answer:

2X

Step-by-step explanation:

bill has X and Ben has twice X so Ben has 2X

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3 years ago
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