PLEASE HELP!!!
1 answer:
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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.
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:
318.2 ml
Step-by-step explanation:
Jamie has 100 ml of a 50% isopropyl alcohol solution.
She wants to prepare a solution of 85% by adding 96% solution of isopropyl alcohol solution.
Let the amount of 96% solution required = x ml
Final amount of 85% isopropyl alcohol solution = (100 + x) ml
Therefore, equation for this situation will be,
100 × (50%) + (x) × (96%) = (100 + x) × (85%)
100(0.5) + 0.96x = 0.85(100 + x)
50 + 0.96x = 85 + 0.85x
0.96x - 0.85x = 85 - 50
0.11x = 35
x =
x = 318.18 ml
≈ 318.2 ml
Therefore, she will require 318.2 ml of 96% isopropyl alcohol solution.