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Law Incorporation [45]
3 years ago
6

The endpoints of a side of rectangle ABCD in the coordinate plane are at A(2, 4) and

Mathematics
1 answer:
nadezda [96]3 years ago
6 0

Answer:

  y = -x +6

Step-by-step explanation:

The 2-point form of the equation for a line through points (x1, y1) and (x2, y2) is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

For your given points, this is ...

  y = (1-4)/(5-2)(x -2) +4 . . . . with given points filled in

  y = -1(x -2) +4 . . . . . . . . . . . simplify a bit

  y = -x + 6 . . . . . . . . . . . . . . simplify to slope-intercept form

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Does 2, 5, and 7 make a right triangle
MakcuM [25]

Answer:  No, we don't have a right triangle

==========================================================

Explanation:

If a triangle with sides a,b,c makes the equation a^2+b^2 = c^2 true, where c is the longest side, then this triangle is a right triangle. This is the converse of the pythagorean theorem.

Here we have a = 2, b = 5 and c = 7.

So...

a^2+b^2 = c^2

2^2+5^2 = 7^2

4+25 = 49

29 = 49

The last equation is false, so the first equation is false for those a,b,c values. Therefore, we do <u>not</u> have a right triangle.

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

In contrast, consider the classic 3-4-5 right triangle

a = 3, b = 4 and c = 5 would make a^2+b^2 = c^2 true because 3^2+4^2 = 5^2 is a true equation (both sides lead to 25).

6 0
3 years ago
PLEASE HELP!!!!! Florian ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles. Which
fgiga [73]

Answer:

The correct answer would be D) 4.8x + 1.2 = 3.6; x = 0.5 mile

Step-by-step explanation:

This is because laps would be the dependent variable, so we know the number of them (4.8) would be multiplied by the variable (x). We also know that 1.2 is the constant. Now we can solve to make sure this is the right equation.

4.8x + 1.2 = 3.6

4.8x = 2.4

x = 0.5

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3 years ago
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12.41 less than the product of 42 and x
11Alexandr11 [23.1K]
12.41 less than the product of 42 and x

= 42x - 12.41
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I believe the correct answer is he paid the right amount

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3 years ago
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nekit [7.7K]

2x - 11 = 0
2. 2
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