To solve this, we must first put both lines in Slope Intercept Form (y=mx+b where m is the slope and b is the y-intercept).
y=3x-5 is already in SIF, so we only need to work on the other one.
x+3y=6
-x -x
3y=-x+6
/3 /3
y=-1/3x+2
Now we have both equations in slope intercept form, so we can start graphing from the y-intercepts and just follow the slopes.
When we do this, we will see that the lines meet at an exactly 90° angle. When a pair of lines does this, it means they are perpendicular.
Below I have attached an image that has both lines graphed so that you may visualize it. The green dots show the slopes, while the highlighted areas show the y-intercepts. Note that the lines intersect at a 90° angle, making them perpendicular.
Answer:
197.192
Step-by-step explanation:
62.8x3.14=197.192
Answer:
2.174 hours
Step-by-step explanation:
Let the number of hours be represented as:
x
The price of Stock A at 9 A.M. was $12.79 Since then, the price has been increasing at the rate of $0.11 each hour.
$12.79 + $0.11 × x
12.79 + 0.11x
At noon the price of Stock B was $13.29 It begins to decrease at the rate of $0.12 each hour.
$13.29 - $0.12× x
13.29 - 0.12x
Equating both equations together
Stock A = Stock B
12.79 + 0.11x = 13.29 - 0.12x
Collecting like terms
0.11x + 0.12x = 13.29 - 12.79
0.23x = 0.5
x = 0.5/0.23
x = 2.1739130435 hours
x = Approximately = 2.174 hours
If the two rates continue, the number of hours that the prices of the two stocks will be the same is 2.174 hours
Answer:20
Step-by-step explanation: