This is going to be an long answer, so I'm putting the answer first. y=3x-7
First, you have to find the equation of the line given. You can use point slope form for that. You can see that the slope is -1/3, and it goes through (2,2). So, the equation would be
y-2=-1/3(x-2)
Which simplifies to
y=-1/3x+8/3
Now, we can get on to finding the actual answer. The slope of a line perpendicular would be the negative reciprocal of the original slope. That just means you flip it and multiply it by -1. So, the slope of the new line is 3. Now you can use point slope form again and make an equation, which is
y+1=3(x-2)
Which simplifies to
y=3x-7
Please don't ask me why the slope is the negative reciprocal, or how they came up with the formula for the point slope form. I DON'T KNOW. If you want to know so bad you would give up chick-fil-A for the rest of your life, there's always google.
Answer:
$37.5
Step-by-step explanation:
we can look at this problem using rates:
50=$25
25=$12.5
so we can add $12.5 to $25 because 50+25=75 so our answer, 12.5+25=37.5
$37.5
The number here is will be represented as under -
Let the number be x.
Thus, the 5 times the number will be = 5x.
Now, it says, the number is 68 less than 5 times a number.
The equation so formed will be -
5x - 68 = x
4x = 68
x = 68.
Thus, the number will be 17.
Let us re-check the number,
(5 × 17) - 68 = 17
85 - 68 = 17
<em><u>17 = 17. Thus, the number will be 17.</u></em>
Answer:
Which question do you want us to do?
If charge per day =x
and charge per mile =y
6x + 550y = 337
3x + 350y = 185
multiple the second equation by 2
6x+700y=370
subtract the first equation from this equation
150y=33
y=0.22
Now we plug the y back in to one of the initial equations to get the value of x
3x+350(0.22)=185
x=36
Charge per day is $36 and charge per mile is $0.22