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.
Answer: Weeping Woods or Slurpy Swamp.
Since he went 168 miles in 4 hours, then his speed is 42 mph. Then, 504 divided by 42 is 12. It will take 12 hours at a steady pace of 42 mph to reach 504 miles.
<em>Answer:</em>
<em>I would say he makes 10.5%</em>
<em>Step-by-step explanation:</em>
<em />
<em>Let the price at which the shopkeeper bought the article be 100.
</em>
<em>Since he has to make a profit of 30%, he would mark the price as 130.
</em>
<em>Now, he allows a discount of 15% i.e. 15% of 130 = 19.5
</em>
<em>The actual discounted price= 130–19.5= 110.5
</em>
<em>
</em>
<u><em>He gets 10.5 on 100. The profit percent he makes is 10.5%</em></u>
A. 16 is divisible by 2 but not divisible by 3
B. 23 is not divisible neither by 2 nor 3
C. 27 is not divisible by 2, however it's divisible by 3
D. 36 is divisible both by 2 and 3
So the only number we can focus on is 36:
36 ÷ 2 = 18
36 ÷ 3 = 12
36 ÷ 6 = 6
Answer: D, 36 supports the given conjecture.