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DIA [1.3K]
1 year ago
5

Lines,rays,and segments

Mathematics
1 answer:
tino4ka555 [31]1 year ago
8 0

Answer: line: To represent straight objects in geometry, mathematicians introduced the concept of line or straight line

rays: vector, a ray is a vector from a point to a point. In geometry, a ray is usually taken as a half-infinite line (also known as a half-line) with one of the two points and taken to be at infinity

segments: The term line segment refers to a section of a line bounded by two distinct points. It is comprised of all points on the line between its endpoints. A closed line segment includes both endpoints, whereas an open line segment excludes both endpoints.

Step-by-step explanation:

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Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total t
Ilia_Sergeevich [38]

Answer: 220

<u>Step-by-step explanation:</u>

Children (x): $2

Teens (y): $3, \frac{3}{4}x

Adults: (z): $5

Quantity: x + y + z = 570  ⇒  x + \frac{3}{4}x + z = 570  ⇒ 1.75x + z = 570  

Cost: 2x + 3y + 5z = 1950  ⇒  2x + 3(\frac{3}{4}x) + 5z = 1950  ⇒  2x + 2.25x + 5z = 1950  ⇒  4.25x + 5z = 1950

Qty:    1.75x +  z =  570  →  5(1.75x +  z =  570)  →    8.75x + 5z = 2850

Cost: 4.25x + 5z = 1950 → -1(4.25x + 5z = 1950 → <u> -4.25x - 5z</u> = <u>-1950 </u>

                                                                                  4.50x        =   900

                                                                                          x       =    200

Teens (y): \frac{3}{4}x

           y = \frac{3}{4}(200)

             = \frac{600}{4}

             = 150

Quantity: x + y + z = 570  

              200 + 150 + z = 570

                     350     + z = 570

                                    z = 220


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Answer:

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Step-by-step explanation:

Given

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To complete the square

add ( half the coefficient of the x- term )² to both sides

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(x + 8)² = 2 ( take the square root of both sides )

x + 8 = ± \sqrt{2} ( subtract 8 from both sides )

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Hence

x = - 8 - \sqrt{2} ≈ - 9.41

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