Step-by-step explanation:
commutative property of multiplication
3 * 5 means 5 + 5 + 5 which equals 15.
5 * 3 means 3 + 3 + 3 + 3 + 3 which equals 15.
Distinct angles are when the angles of a polygon are all different.
For this case, the first thing to do is to calculate the time you were watching the game.
We have then:
2:00 - 1:45 = 15 minutes
Then, the amount of degrees is given by:
(15/60) * (360) = 90 degrees
Answer:
the minutes hand did turn about:
90 degrees
X=70, y=55
The triangle is an isosceles triangles. In an isosceles triangle, the base angles are congruent.
Then use the triangle angle sum theorem and set the equation to 180.
55+55+x=180
110+x=180
x=70
The angle with 55 degrees and the angle with the variable y are alternate angles. Meaning they are congruent.
Consider the equation y = x^2. No matter what x happens to be, the result y will never be negative even if x is negative. Example: x = -3 leads to y = x^2 = (-3)^2 = 9 which is positive.
Since y is never negative, this means the inverse x = sqrt(y) has the right hand side never be negative. The entire curve of sqrt(x) is above the x axis except for the x intercept of course. Put another way, we cannot plug in a negative input into the square root function for this reason. This similar idea applies to any even index such as fourth roots or sixth roots.
Meanwhile, odd roots such as a cube root has its range extend from negative infinity to positive infinity. Why? Because y = x^3 can have a negative output. Going back to x = -3 we get y = x^3 = (-3)^3 = -27. So we can plug a negative value into the cube root to get some negative output. We can get any output we want, negative or positive. So the range of any radical with an odd index is effectively the set of all real numbers. Visually this produces graphs that have parts on both sides of the x axis.
