Question Which ordered pairs are solutions to the equation 2x+10y=12? Select all that apply. Select all that apply: (7,−2) (−5,−
1 answer:
Answer:
C and D
Step-by-step explanation:
To determine which pairs are solutions, substitute the coordinates into the left side of the equation and if equal to the right side then they are solutions.
(7, - 2)
2(7) + 10(- 2) = 14 - 20 = - 6 ≠ 12 → (7, - 2) is not a solution
(- 5, - 4)
2(- 5) + 10(- 4) = - 10 - 40 = - 50 ≠ 12 → (- 5, - 4) is not a solution
(4, )
2(4) + 10() = 8 + 4 = 12 → hence solution
(- 5, )
2(- 5) + 10( ) = - 10 + 22 = 12 → hence solution
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Answer:
The answer is below
Step-by-step explanation:
The question is not complete. The complete question is:
The 12 foot long bed of a dump truck loaded with debris must rise an angle of 30 degrees before the debris will spill out. Approximately how high must the front of the bed rise for the debris to spill out.
Solution:
Let x be the height of the front of the bed rise needed to be raised for the debris to spill out. We can find x using trigonometric identities. That is:
sin θ = opposite / hypotenuse
Using trigonometric identities, we can get that:
sin(30) = x / 12
This gives:
0.5 = x / 12
Cross multiplying the terms to get:
x = 12 * 0.5
x = 6 ft
Therefore the front of the bed rise must be raised 6 ft for the debris to spill out.
