Answer:
2 or 2/1
Step-by-step explanation:
<u>Rise</u> = <u>2</u>
Run = 1
Answer:
Step-by-step explanation:
so this question is about perpendicular lines. keep in mind that a perpendicular line has a reciprocal slope of opposite sign, from the line it's perpendicular to . :) okay so what is that line the robot is on, let's first
find the slope , m
m = (y2 - y1) / ( x2 - x1)
P1 = (8,6) in the form ( x1,y1)
P2= (-10,-5) in the form (x2,y2)
then
m = (-5-6) / (-10-8)
m = -11 / -18
m = 11/ 18
and then lets use the point-slope formula with the slope we just found and one of the given points, let's pick P1
y-6 = 11/18(x-8)
y = 11/18x - 88/18 + 6
y = 11/18x -88/18 + 108/18
y = 11/18x + 20/18
now let's take the reciprocal of the slope and change the sign, then we have
y = - 18/11x +20/18 ( coordinates robot can move on )
on the graph I'm attaching the green line is the one where the robot first moves, then the purple one.. is the one it turns 90 ° on to .
Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Slope-intercept form: where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
- Parallel lines have the same slope (m) and different y-intercepts (b)
<u>1) Determine the slope (m)</u>
Rearrange this equation in slope-intercept form (so it's easier for us to identify the slope)
Subtract 6x from both sides to isolate 2y
Divide both sides by 2 to isolate y
Now, we can tell clearly that -3 is in the place of m. Therefore, because parallel lines have the same slope, we know that the line we're solving for will also have a slope of -3. Plug this into :
<u>2) Determine the y-intercept</u>
Plug in the given point (-1,7)
Subtract 3 from both sides
Therefore, the y-intercept of the line is 4. Plug this back into :
I hope this helps!
Solution: The function that represents the Grace earning each week is defined as , where is in dollar and is the time in hours. domain of the function is [10,20].
Explanation:
Let, Grace works for h hours per week.
For one hour she get $9.
For h hours she get .
So, the function that represents the Grace earning each week is defined as .
It is given that she works from 10 to 20 hours per week, therefore the value of h lies between 10 to 20. Hence the Grace's earnings for each week is defined as and the domain of the function is [10,20].
Answer:
10
Step-by-step explanation:
1. 2(4.5)+1
2. 9+1
3. 10