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Katyanochek1 [597]
3 years ago
5

Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of t

he run 20 feet. She writes and solves the equation 2 l plus 2 w equals 62 to find the width of the run. Which statements are true of the solution? Check all that apply.

Mathematics
2 answers:
otez555 [7]3 years ago
7 0

C) The value of w cannot be a negative number.

D) Substitution is used to replace the variable l with a value of 20.

E) The subtraction property of equality is used to isolate the term with the variable w.

elixir [45]3 years ago
6 0

Answer:

11ft is the width

Hope this helps! Please mark as brainliest.

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6.66

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8 0
3 years ago
Find the distance between the two points.
Law Incorporation [45]

Answer:  89 will go in the box

This means the exact distance between the two given points is \sqrt{89} which approximates to roughly 9.4339811

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

Explanation:

To get that answer, we can apply the distance formula

(x1,y1) = (-1,-5) is the first point

(x2,y2) = (4,3) is the second point

Plug the coordinates into the distance formula

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-4)^2 + (-5-3)^2}\\\\d = \sqrt{(-5)^2 + (-8)^2}\\\\d = \sqrt{25 + 64}\\\\d = \sqrt{89}\\\\d \approx 9.4339811\\\\

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

Alternative Method:

You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.

After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get \sqrt{89} as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.

8 0
3 years ago
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