Answer:
The slope of a line parallel to this line will be: -7/9
The slope of the perpendicular line will be:
![\frac{-1}{\frac{-7}{9}}=\frac{9}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B%5Cfrac%7B-7%7D%7B9%7D%7D%3D%5Cfrac%7B9%7D%7B7%7D)
Step-by-step explanation:
We know the slope-intercept form
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Here,
Given the equation
![7x+9y=5](https://tex.z-dn.net/?f=7x%2B9y%3D5)
simplifying to write in the lope-intercept form
![y=-\frac{7}{9}x+\frac{5}{9}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B7%7D%7B9%7Dx%2B%5Cfrac%7B5%7D%7B9%7D)
Thus, the slope of the line is: -7/9
The slope of a line parallel to the line:
We have already determined that the slope of the line is: -7/9
- We know that the parallel lines have the same slope.
Thus, the slope of a line parallel to this line will be: -7/9
The slope of a line perpendicular to the line:
We have already determined that the slope of the line is: -7/9
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
Thus, the slope of the perpendicular line will be:
![\frac{-1}{\frac{-7}{9}}=\frac{9}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B%5Cfrac%7B-7%7D%7B9%7D%7D%3D%5Cfrac%7B9%7D%7B7%7D)
Answer:
Step-by-step explanation:
8 3/5 is already in simplest form. You could write this mixed number as an improper fraction:
43/5
or as a mixed decimal number:
8.6
Answer: $100,000
<u>Step-by-step explanation:</u>
Land + Stocks + Bonds + Savings = 100%
+ 0.1x +
+ 35,000 = 1.00x
= 0.5x + 0.1x + 0.05x + 35,000 = 1.00x
= 0.65x + 35,000 = 1.00x
35,000 = 0.35x
![\dfrac{35,000}{0.35}=\dfrac{0.35x}{0.35}](https://tex.z-dn.net/?f=%5Cdfrac%7B35%2C000%7D%7B0.35%7D%3D%5Cdfrac%7B0.35x%7D%7B0.35%7D)
100,000 = x
Let, speed of 1st bicyclist is x.
So, speed of 2nd bicyclist is x-3 .
We know, relative speed when two objects moves towards each other :
![v = x + ( x-3 )\\\\v = 2x - 3](https://tex.z-dn.net/?f=v%20%3D%20x%20%2B%20%28%20x-3%20%29%5C%5C%5C%5Cv%20%3D%202x%20-%203)
Now, distance travelled in 3 hours is (98-2) miles .
So,
![2x-3 = \dfrac{96}{3}\\\\2x - 3 = 32\\\\2x = 35\\\\x = 17.5\ mph](https://tex.z-dn.net/?f=2x-3%20%3D%20%5Cdfrac%7B96%7D%7B3%7D%5C%5C%5C%5C2x%20-%203%20%3D%2032%5C%5C%5C%5C2x%20%3D%2035%5C%5C%5C%5Cx%20%3D%2017.5%5C%20mph)
Therefore, speed of bikes are 17.5 mph and 14.5 mph.
Hence, this is the required solution.
x<-5
Step-by-step explanation:
-3x<12+3
3x>15 divide both sides with ÷3
x<-5
XE(-œ,-5)