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san4es73 [151]
3 years ago
15

Which mathematical figure has length but no beginning or end? A. a point B.a segment C.a line D.a ray

Mathematics
1 answer:
LenaWriter [7]3 years ago
7 0
By looking at your question and answers i have determined that D. A ray is the correct answer
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The ratio of dogs to cats at an animal shelter is 7 to 5. how many cats are at the shelter if there are 42 more dogs than cats,
Zanzabum
105 cats are in the shelter as 1 = 21 x 5
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3 years ago
The area of the smallest equilateral triangle with one vertex on each of the sides of the right triangle with side lengths and <
Gre4nikov [31]
Set up the given triangle on x-y coordinates with right angle at (0,0). So the two vertices are at (5,0) and (0,2sqrt{x} n]{3})

let (a,0) and (0,b) be two vertices of the<span> equilateral triangle. So the third vertex must be at </span>(\frac{a+\sqrt{3}b}{2} ,  \frac{b+\sqrt{3}a}{2} )

for a pt (x,y) on line sx+ty=1, the minimum of \sqrt{x^{2} + {y^{2} }
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so area is \frac{75\sqrt{3}}{67}

hence m=75, n=67, p=3
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7 0
4 years ago
Read 2 more answers
What substitution should be used to rewrite 16(x3 + 1)2 – 22(x3 + 1) – 3 = 0 as a quadratic equation?
Vesna [10]

Answer:

  z = x^3 +1

Step-by-step explanation:

Noting the squared term, it makes sense to substitute for that term:

  z = x^3 +1

gives ...

  16z^2 -22z -3 = 0 . . . . the quadratic you want

_____

<em>Solutions derived from that substitution</em>

Factoring gives ...

  16z^2 -24z +2z -3 = 0

  8z(2z -3) +1(2z -3) = 0

  (8z +1)(2z -3) = 0

  z = -1/8  or  3/2

Then we can find x:

  x^3 +1 = -1/8

  x^3 = -9/8 . . . . . subtract 1

  x = (-1/2)∛9 . . . . . one of the real solutions

__

  x^3 +1 = 3/2

  x^3 = 1/2 = 4/8 . . . . . . subtract 1

  x = (1/2)∛4 . . . . . . the other real solution

The complex solutions will be the two complex cube roots of -9/8 and the two complex cube roots of 1/2.

7 0
3 years ago
Read 2 more answers
Writing Algebraic Expressions the product of 3 and X
Vlada [557]

Step-by-step explanation:

3 \times x

3x

7 0
2 years ago
Convert the improper fraction 35/8 into a mixed number
kondor19780726 [428]
35/8 =  (4 * 8 = 32) and 3 left over so answer is 4  3/8
7 0
3 years ago
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