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.
Hi there!
Let the amount of hours Kim worked be represented by X.
Her total earnings on a Friday night can be expressed as $30 + ($1.25 × the amount of hours). We can now set up a function for her total revenue (represented by Y).

When Kim works 3 hours we need to plug in x = 3 into the formula.

Therefore, after 3 hours of working, Kim would have made $33.75
<span>difference of f squared and g = (f^2 - g)
</span>4 times the difference of f squared and g = 4 x (f^2 - g<span>)
</span><span>sum of f squared and 2g = (f^2 + 2g)
</span>4 times the difference of f squared and g, increased by the sum of f squared and 2g = 4 x (f^2 - g) + (f^2 + 2g<span>)</span>