Answer:
Step-by-step explanation:
Rate of change is another term for the slope.
rate of change = slope = (change in y)/(change in x)
<u>Function A:</u>
y = mx + b (m = slope)
y = 4x - 3
Function A has a slope of 4.
The rate of change for function A is 4.
<u>Function B:</u>
Take two points.
(-1, 0) and (1, 4)
slope = (y2 - y1)/(x2 - x1)
slope = (4 -0)/(1 - -1)
slope = 4/2 = 2
The rate of change for function B is 2.
Answer:
Step-by-step explanation:
Observe in the figure given in the exercise that four right triangles are formed.
In this case you can use the following Trigonometric Identity to solve this exercise:
From the figure you can identify that:
Then, you can substitute values:
The next step is to solve for DE in order to find its value. This is:
Finally, rounding the result to the nearest tenth, you get that this is:
For the given triangle, the value of x equals 30.9892 units.
Step-by-step explanation:
Step 1:
In the triangle, the angle is 40°, the opposite side has a length of 26 units, the adjacent side has a length of x units while the hypotenuse is not given.
To determine the value of x, we determine the value of the tan of the given triangle.
To calculate the tan of angle A we divide the opposite side's length by the the adjacent side's length.
Step 2:
The length of the opposite side = 26 units.
The length of the adjacent side = x units.
So x measures 30.9892 units.