Answer:
-1
Step-by-step explanation:
See the attachment for the polynomial long division. The constant in the quotient is -1.
_____
Here, there is a remainder of -x. If there were no remainder the constant in the quotient is the ratio of the constant in the dividend to the constant in the divisor: -2/2 = -1.
That could be a first guess in a "guess and check" solution approach.
<em>Guess</em>: first term of binomial quotient is (2x^3)/x^2 = 2x; last term of binomial quotient is -2/2 = -1. So, the quotient is guessed to be (2x -1).
<em>Check</em>: (2x -1)(x^2 -x +2) = 2x^3 -3x^2 +5x -2
Subtracting this from the actual dividend gives a remainder of -x. This has a lower degree than the divisor, so no further adjustment of the quotient is required.
Answer:
I found this over the internet and hope it helps:
A rectangle is a quadrilateral with all four angles right angles. It follows form this that the opposite sides are parallel and of the same length. A square is a quadrilateral with all four angles right angles and all four sides of the same length.
Also note that a square is always a rectangle, but a rectangle is not always a square.
In order to solve this problem, you must draw a right triangle first to help you visualize the path of the jogger.
You are given 0.5 miles north (which will be the height of the right triangle), and 1.3 miles (which will be the hypotenuse of the triangle).
Using Pythagorean Theorem: a²+b²=c², we have:
0.5² + b² = 1.3²
b = 1.3²-0.5²
b = 1.2 miles
Answer:
Step-by-step explanation:
Hello!
The standard deviation (δ) is a measure of variability, this means, it shows how dispersed the data set is with respect to the mean. The population mean (μ) is a measurement of position. The three graphics have the same position μ=0 but their standard deviations change, this means, the form of their bells is different. The greater the value of the standard deviation, the more dispersed the data is you can see this graphically because the width of the bell will be greater.
Graph attached.
I hope it helps!