Steps to solve:
5x² = 15x
~Subtract 15x to both sides
5x² - 15x = 15x - 15x
~Simplify
5x² - 15x = 0
~Factor left side
5x(x - 3) = 0
~Factors equal 0
5x = 0 and x - 3 = 0
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~Simplify 5x = 0
5x/5 = 0/5
x = 0
~Simplify x - 3 = 0
x - 3 + 3 = 0 + 3
x = 3
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Thus, the correct answer is 0, 3.
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Best of Luck!
Answer:
Step-by-step explanation:
A circle with a radius of 5 units has a circumference of 31.416 units.
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.
Answer:
QR=RS=QS=29
Step-by-step explanation:
Given QRS is an equilateral triangle, thus all the three sides of the given triangle will be equal.
Also, from the given statement, we have
QR=2x-7, RS=5x-61 and QS=11+X
Now, As all the sides of the triangle are equal, therefore
QR=RS=QS
⇒QR=RS
⇒2x-7=5x-61
⇒-7+61=5x-2x
⇒54=3x
⇒x=18
Thus, the measure of QR=2(18)-7=29,RS=5(18)-61=29 and QS=11+18=29.