Answer:
Step-by-step explanation:
We are given;
- A point (6, -4)
- An equation of a line, 9x - 3y = 9
We are required to determine the equation a line passing through a point (6, -4) and perpendicular to the given line;
- To answer the question we need to get the gradient of the given line first.
- We write the equation 9x - 3y = 9 in the form of y = mx + c, where m is the slope;
y = 3x -3
- Thus, the slope of the line is 3
But; m₁ × m₂ = -1 (For perpendicular lines)
Therefore;
m₂ = -1 ÷ 3
= -1/3
Therefore, the slope of the line in question is -1/3 and the line passes through (6, -4).
To get its equation, we get another point (x, y)
Then;
Thus;
In the form of slope-intercept, the equation will be;
Thus, the equation of the line is;
The average speed for the journey from Llanfyllin to Bala is 14 km/h
Average speed is the ratio of total distance travelled to total time taken. Also, average speed can be given as the average of the different speeds.
Let d₁ represent the distance from Llanfyllin to Vyrnwy and t represent the time taken, since the speed is 12 km/h, hence:
12 = d₁/t
d₁ = 12t
Let d₂ represent the distance from Vyrnwy to bala and t represent the time taken. Since they spent the same time, since the speed is 16 km/h, hence:
16 = d₂/t
d₂ = 16t
Average speed = total distance/total time
Average speed = (d₁ + d₂) / (t + t)
Average speed = (12t + 16t) / 2t
Average speed = 28t / 2t
Average speed = 14 km/h
Hence their average speed for the journey from Llanfyllin to Bala is 14 km/h.
Find out more at: brainly.com/question/23774048
Answer:
The answer to your question is f(x) =- 
Step-by-step explanation:
g(x) = 9x - 8
f(x) = ?
h(x) = (f°g)(x) = 9 / (9x - 8)
Process
When we evaluate a function with another function, just substitute the second function in all the x of the first function.
From the information given we notice that g(x) = 9x - 8 and it is in the denominator of the function h(x). This means that before we substitute this value in f(x) there, there was a "x".
Then
f(x) =- so (f°g)(x) =- 
or h(x) = -
The points in the graph are (-1,0) and (3,0). I solved the equation using the Factoring method in solving quadratic equations. As I solved for finding x= -1 and 3, I substituted both to the equation in order to find y.
Answer:
5
Step-by-step explanation:
The number or fraction by the x is always the slope
