Answer:
x = 24
Step-by-step explanation:
The given line y = 3 is a horizontal line with slope zero (0).
We wish to find the equation of a line that is perpendicular to y = 3. Such a line would be a vertical one. Vertical lines do not have slopes defined (due to division by zero).
Thus the general form of the equation of this new line is x = c.
This new line passes through (24, -56). Thus, x must be 24: x = 24
Answer:
Step-by-step explanation:
<u>Expression:</u>
- 2∛x - 5√z + y² =
- 2∛27 - 5√64 + (-4)² =
- 2(3) - 5(8) + 16 =
- 6 - 40 + 16 =
- -18
Question 1
The given system of equations is:
Equate the two equations:
Rewrite in standard form:
When we put x=0, in y=3x +6, we get:
One solution is (0,6)
When we put x=-2, into y=3x+6, we get:
Another solution is (-2,0)
The solutions are; (0,6) and (-2,0)
Question 2:
The function is
Let us put x=-x,
This gives:
We can observe that:
This is the property of an even function.
Question 3:
The given function is
The average rate of change of f(x) from x=a to x=b is given as:
This is the slope of the secant line connecting the two points on f(x)
From x=2 to x=6, the average rate of change
The average rate of change is 11
Answer:
Step-by-step explanation:
15x - 10 = 20
15x = 20 + 10
15x = 30 (divide both sides by 15 to get x)
15x/15 = 30/15
x = 2