The equations for the horizontal and vertical lines passing through the point (6,9) is y = 9 and x = 6 respectively
<u>Solution:</u>
Given, point is (6, 9)
We have to find the equations for horizontal and vertical lines passing through above given point.
Now, let us find horizontal line,
We know that, horizontal line is parallel to x – axis, so slope of our required line is 0.
The point slope form is given as ![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
Then, line equation in point slope form ⇒ y – 9 = 0(x – 6)
⇒ y – 9 = 0
⇒ y = 9
Now, let us find vertical line,
We know that, vertical line is parallel to y – axis, so slope of our required line is undefined ![(\frac{1}{0})](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B0%7D%29)
Then, line equation in point slope form ⇒ ![y-9=\frac{1}{0}(x-6)](https://tex.z-dn.net/?f=y-9%3D%5Cfrac%7B1%7D%7B0%7D%28x-6%29)
⇒ x – 6 = 0(y – 9)
⇒ x – 6 = 0
⇒ x = 6
Hence, the horizontal line equation is y = 9 and vertical line equation is x = 6.
I’m not sure whether there is a typo in the function but I might have the answer.
If f(x) = 5(x+1)+3 = -12 then you can solve for x.
5(x+1)+3 = -12
5x + 5 + 3 = -12 << expand the brackets
5x + 5 = - 15 << minus 3
x + 1 = -3 << divide everything by 5
x = -4 << minus 1
I don’t know if this helps x Sorry
Step-by-step explanation:
The required sum
=(1+2+3+...+199)−(3+6+9+...+198)−(5+10+15+...+195)+(15+30+45+...+195)
=2199(1+199)−266(3+198)−239(5+195)+213(15+195)
=199×100−33×201−39×100+13×105=10732
480 aproxmately if you round the numbers then add them up
Answer:
19/50 = 38%
Step-by-step explanation:
19 out of 50 runners finished in fewer than 30 minutes so the fraction will be 19 (the number of runners that finished in fewer than 30 minutes) divided by 50 (the total number of runners) so you get 19/50 = 38/100 = 38%