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Serjik [45]
3 years ago
6

A bottlenose dolphin is 10 feet below sea level. Then it begins to dive at a rate of 9 feet per second. What is the equation of

the line that represents its elevation, y, after x seconds?
Mathematics
2 answers:
a_sh-v [17]3 years ago
7 0
Y = -9x - 10
The dolphin is diving 9 feet per second so the rate of change is -9.
It's also 10 feet below sea level which makes the y-intercept -10
Hope this helped!
geniusboy [140]3 years ago
3 0
The bottlenose dolphin is 10 feet below sea level

-10 ft.

it begins to dive at 9 feet per second

y = (- 9x) - 10


y = (- 9x) - 10 is your equation

hope this helps
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8_murik_8 [283]

Using the segment addition theorem, the solutions are:

5. x = 17

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10. x = 3

11. FG = 15

12. QS = 34

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14. EG = 19

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<h3>How to Apply the Segment Addition Theorem?</h3>

The segment addition theorem would be used to solve the problems as shown below:

5. UW = UV + VW [segment addition theorem]

Substitute

6x - 35 = 19 + 4x - 20

6x - 4x = 35 + 19 - 20

2x = 34

x = 17

6. HJ = HI + IJ [segment addition theorem]

Substitute

7x - 27 = 3x - 5 + x - 1

7x - 3x - x = 27 - 5 - 1

3x = 21

x = 7

7. BD = BC + CD [segment addition theorem]

Substitute

7x - 10 = 4x - 29 + 5x - 9

7x - 4x - 5x = 10 - 29 - 9

-2x = -28

x = 14

BC = 4x - 29 = 4(14) - 29 = 27

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8. BC = BD

Substitute

2x + 1 = 5x - 26

2x - 5x = -1 - 26

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AB = 43 - BC

AB = 43 - 2x + 1 = 43 - 2(9) + 1 = 26

9. 7x - 10 = 9x - 11 - (x + 3)

7x - 10 = 9x - 11 - x - 3

7x - 9x + x = 10 - 11 - 3

-x = -4

x = 4

LJ = 28 + 7x - 10 = 28 + 7(4) - 10

LJ = 46

10. 8x + 11 = 12x - 1

8x - 12x = -11 - 1

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x = 3

11. 11x - 7 = 3x + 9

11x - 3x = 7 + 9

8x = 16

x = 2

FG = 11x - 7 = 11(2) - 7

FG = 15

12. 5x - 3 = 21 - x

5x + x = 21 + 3

6x = 24

x = 4

QS = 2(5x - 3) = 10x - 6 = 10(4) - 6

QS = 34

13. 8x - 20 = 2(3x - 1)

8x - 20 = 6x - 2

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15. RT - ST = RS

Substitute

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4x - 2x = 42 - 4

2x = 38

x = 19

QS = 2(RS)

QS = 2(2x - 4) = 4x - 8 = 4(19) - 8

QS = 68

Learn more about the segment addition theorem on:

brainly.com/question/28263183

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goldfiish [28.3K]
Setup is
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