Answer: 89 will go in the box
This means the exact distance between the two given points is
which approximates to roughly 9.4339811
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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

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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
as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.
Step-by-step explanation:
This is an arithmetic sequence. The expressive formula for an arithmetic sequence is aₙ = a₁ + (n-1)d, where a₁ is the first term and d is the common difference. In this case, a₁ = 12 and d = -1. We have aₙ = 12 + (n - 1) * (-1) = 12 - n + 1 = -n + 13. aₙ = -n + 13. Hope this helps!
4n - t<span>he length of a rectangle
4n : 2 = 2n - </span>the width of a rectangle
P = (4n + 2n) * 2
P = 12n
12n : 2 = 6n - the perimeter of the equilateral triangle
P = 3a
6n = 3a
a = 6n : 3
a = 2n - <span>the side length of the triangle - answer.</span>
Answer:
4/2
Step-by-step explanation:
Answer:
The surface area is 900cm^2
Step-by-step explanation:
Multiply 3 and 10 to get 30
Then square 30 by multiplying 30 x 30, to get 900.