A mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other
If you would like to find the rational roots of x^4 + 8 * x^3 + 7 * x^2 - 40 * x - 60 = 0, you can do this using the following steps:
x^4 + 8 * x^3 + 7 * x^2 - 40 * x - 60 = 0
(x^2 - 5) * (x^2 + 8 * x + 12) = 0
(x^2 - 5) * (x + 6) * (x + 2) = 0
1. x = - sqrt(5)
2. x = sqrt(5)
3. x = - 6
4. x = - 2
The correct result would be -6 and -2.
Answer:
A. 1/2.
Step-by-step explanation:
The ratio of the sides of a 30-60-90 triangle is 2:1:√3 where 2 is the hypotenuse. 1 is the shortest leg and √3 is the longest leg.
In the diagram we see that the longest leg is opposite the 60 degree angle.
So the longest leg is 3.5√x and the shortest leg ( from applying the ratios) = 3.5√x / √3.
and the hypotenuse is 2 * 3.5√x / √3 (using the ratios again).
So sin 30 = shortest leg / hypotenuse = 3.5√x / √3 / 2 * 3.5√x / √3
= 1/2.
Answer:
180 degrees
Step-by-step explanation:
The sum of all the interior angles in a triangle is always equal to 180 degrees.
Step-by-step explanation:
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