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.
It is 111000 I might sure though
180 degrees in a triangle. so 180-90-31=59
A) the equation accuretly models this scenario because Emanuel has a total of 48 cards. He bought some (X) and his aunt gave him 18. In order to find the number of cards he bought you set the number of cards he bought and the number of cards he got from his aunt equal to the number of cards he has.
B) 48= X + 18
Subtract 18 over
30=X
He bought 30 cards from the store.
48+ 30+18