One of the easiest methods that can be used to find the area of a polygon is to split the figure into triangles
8x + 3× + 9x = 180
20x = 180
x = 180/20
x = 9
The smallest angle is: 3×9 = 27 degrees
Note: 180 degrees is the sum of angles in a triangle
A. For y= 2x-1, the slope is 2 and the y intercept is -1. Therefore, we should first plot (0,-1). From there, for each increment of x, increase y by 2. For y= 4x-5, the slope is 4 and the y ntercelt is -5. Therefore we should plot (0,-5) and plot an increase of 4 on the y axis per increase of 1 on the x axis. The solution is where the lines cross.
B. (2,3)
9514 1404 393
Answer:
x +7
Step-by-step explanation:
The argument of the absolute value function is positive for any x > -7. The required domain is a subset of that, so the absolute value function does not change its argument.
|x+7| for x ≥ 7 is x +7
First of all, if you look at the question, you will notice that the two numbers involved are the same (that is; 4 and 4). However, there are two ways to solve this. But the easiest way is by using indices. In indices, whenever you are multiplying two numbers that are the same, the powers are added. And whenever you are dividing two numbers that are the same, the powers are subtracted. This is due to the fact that in indices, addition is related to multiplication and subtraction is related to division. An example is;
A⁵ × A³ = A⁽⁵⁺³⁾ =A⁸
A⁵ ÷ A³ = A⁽⁵⁻³⁾ =A²
Anyway, over to the question now;
4⁹÷4³
4⁽⁹⁻³⁾
4⁽⁶⁾
Therefore; 4×4×4×4×4×4=4096
So the answer is 4096. However, if you calculate 4⁹÷4³ on a calculator, you will still get 4096. Hope i helped. Have a nice day
