The trick to solving this problem is to know and remember that the sum of all the interior angles of a triangle is always 180 degrees.
Thus, (6x+1) + (5x-17) + (9x-24) = 180.
20x = -40, so x = -2 (answer)
Answer: the number -5 is a real number
Real numbers are both negative and positive numbers. -5 is a negative number. Since real numbers include negative numbers, -5 is the answer.
Hope this helps!
Step-by-step explanation:
Given
mass (m) = 5000 kg
velocity (v) = 100 km/h = 100* 1000/ 3600 = 27.78m/s
Now
Kinetic energy
= 1/2 mv²
= 1/2 * 5000 * 27.78²
= 1929321 joule
Answer: Choice A
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Explanation:
Recall that 
and 
. The connection between tangent and cotangent is simply involving the reciprocal
From this, we can say,
In the second to last step, a pair of sine terms cancel. In the last step, a pair of cosine terms cancel.
All of this shows why is identical to 
Therefore, 
is an identity. In mathematics, an identity is when both sides are the same thing for any allowed input in the domain.
You can visually confirm that is the same as by graphing each function (use x instead of alpha). You should note that both curves use the exact same set of points to form them. In other words, one curve is perfectly on top of the other. I recommend making the curves different colors so you can distinguish them a bit better.
Answer:
The answer to your question is 10¹/⁴
Step-by-step explanation:
Expression
To solve this problem use the law of exponents.
-Use the division rule of exponents.
If the base if the same in the numerator and denominator, it stays the same and the exponents are subtracted.
10¹ ⁻ ³/⁴ = 10¹/⁴ This is the result
