Answer:
y = 2x + 2.5
Step-by-step explanation:
To begin, we start with the equation 2y - 4x = 5.
We will add 4x to both sides to move the x term to the right side of the equation, giving us:
2y - 4x + 4x = 4x + 5
2y = 4x + 5
Next, we should divide by 2 to cancel out the coefficient on the y-term and isolate it on the left side of the equation:
2y/2 = 4x/2 + 5/2
y = 2x + 5/2
Therefore, your answer is y = 2x + 5/2 or y = 2x + 2.5.
Hope this helps!
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.
Based on the dimensions of the wall and the triangular glass, the number of mirrors needed is 215 mirrors.
<h3>What number of mirrors are needed?</h3>
First find the area of the wall:
= 36 x 93
= 3,348 m²
The area of the triangle, assuming it is an equilateral triangle is:
= (√3/4) x 6²
= 15.59 m²
The number of mirrors needed is:
= 3,348 / 15.59
= 215 mirrors
Find out more on the area of an equilateral triangle at brainly.com/question/1099318.
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