Answer:
![y=-\frac{1}{3}x+4](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B3%7Dx%2B4)
Step-by-step explanation:
step 1
Find the slope of the perpendicular line
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal
(the product of their slopes is equal to -1)
In this problem
we have
![y=3x+1](https://tex.z-dn.net/?f=y%3D3x%2B1)
The equation of the given line is ![m=3](https://tex.z-dn.net/?f=m%3D3)
so
the slope of the perpendicular line to the given line is
![m=-\frac{1}{3}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B1%7D%7B3%7D)
step 2
Find the equation of the line in point slope form
![y-y1=m(x-x1)](https://tex.z-dn.net/?f=y-y1%3Dm%28x-x1%29)
we have
![m=-\frac{1}{3}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B1%7D%7B3%7D)
![(x1,y1)=(6,2)](https://tex.z-dn.net/?f=%28x1%2Cy1%29%3D%286%2C2%29)
substitute
![y-2=-\frac{1}{3}(x-6)](https://tex.z-dn.net/?f=y-2%3D-%5Cfrac%7B1%7D%7B3%7D%28x-6%29)
Convert to slope intercept form
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Distribute right side
![y-2=-\frac{1}{3}x+2](https://tex.z-dn.net/?f=y-2%3D-%5Cfrac%7B1%7D%7B3%7Dx%2B2)
![y=-\frac{1}{3}x+2+2](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B3%7Dx%2B2%2B2)
![y=-\frac{1}{3}x+4](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B3%7Dx%2B4)
Answer:
yes sir and thank u very good sir I am not sure how to get a new job
Let g and b represent the numbers of grandstand and bleacher tickets sold.
.. g + b = 5716 . . . . . . . . . total number of tickets sold
.. 65g +40b = 341690 . . value of tickets sold
Using the first equation
.. g = 5716 -b
Sustituting into the second equation
.. 65(5716 -b) +40b = 341690
.. -25b + 371540 = 341690 . . . . . collect terms
.. -25b = -29850 . . . . . . . . . . . . . . subtract 371540
.. b = 1194 . . . . . . . . . . . . . . . . . . . . divide by -25
1194 bleacher tickets were sold.
it would be 0.9167 as a decimal. I hope this helps :)
Answer:
5/16m long.
Step-by-step explanation:
- 5/8 ÷ 2/1
- 5/8 × 1/2
- =5/16m long.