Find the distance between the two points.
(4,3)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
![Find The Distance Between The Two Points.(4,3) [?]Enter The Number Thatgoes Beneath Theradical Symbol.](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/4Id1NgDtNnkgR88En1QEbo5VlMn8765X.png)
Answers
Answer: 89 will go in the box
This means the exact distance between the two given points is [tex]\sqrt{89}[/tex] 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
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-4)^2 + (-5-3)^2}\\\\d = \sqrt{(-5)^2 + (-8)^2}\\\\d = \sqrt{25 + 64}\\\\d = \sqrt{89}\\\\d \approx 9.4339811\\\\[/tex]
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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 [tex]\sqrt{89}[/tex] as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.
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Step-by-step explanation:
The cylinder volume formula is pi*r^2*height. The r symbolizes the radius, which is 4. The height is 5. Thus, the volume of the cylinder is 5*16*pi = 80pi.
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Answer:
I think the answer is B: 755.3^3.
Step-by-step explanation:
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To find the volume of multiple figures, just find the volume of each of them and add them together.
Volume of rectangular prism: V = lwh; 14 * 6 * 6 = 504
Volume of cylinder: V = pi * r^2 * h; 16 * 3.14 * 5 = 251.2
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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