Step-by-step explanation:
A potter can make 6 small plates in one hour, h.
=> So to make 1 small plates, a potter needs: 1/6 hour
Yesterday, the number of small plates the potter made was:
=> Number of small plates = Total plates - Number of large plates= 23 - 5 = 18 plates
=> Hours the potter needed to make 18 small plates were: <em>Number of plates x Hour to make 1 plate = 18 x (1/6) = 3 hours</em>
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<em>=> Hours the potter spent working on small plates were 3 hours.</em>
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<em>The equation is: </em>
<em>Hours spent working on small plates </em>
<em>= Number of small plates made x Time to make 1 small plates </em>
<em>= (1/6) x number of small plates made (hours)</em>
Answer:
the last one 2x-⁴y⁶
Step-by-step explanation:
-4 : - 2 = 2
x-³ : x = x-³-¹ = x-⁴
y⁴ : y-² = y⁴-(-²) = y⁴+² = y⁶
final
2x-⁴y⁶
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.