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Answer:
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation y=-23x+5. We will chose point-slope since we have a point and slope.
Point slope:
in our new equation because it us perpendicular to it. This means we will need to change it into its negative reciprocal which is
.
We will substitute and
.
.
This is the equation of the line perpendicular to y=-23x+5 that crosses through (8,1).
Answer:
6 L
Step-by-step explanation:
Given two solutions:
1st solution is 90% saline solution. Let the volume of this solution be litres.
2nd solution is 50% saline solution. Volume of this solution = 4 L
Resultant solution is 74% saline.
To find:
The volume of 1st solution = ?
Solution:
Total volume of the 74% saline mixture = (4+) Litres
We can write equation here, as per the percentage of saline in the mixtures.
90% of L + 50% of 4 L = 74% of (
+4)
Therefore, the volume must be <em>6 L</em>.