Solution of the equation:
Step-by-step explanation:
The equation that we have to solve in this problem is:
The first step to do is to rewrite the mixed fractions as improper fractions. We have:
And
So the equation becomes
Now we multiply by 4 each term on both sides, and we get
Now we subtract 29 from both sides,
And finally, we divide both sides by 4:
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Answer:
Step-by-step explanation:
1. By definition, two slopes are perpendicular if their slopes are negative reciprocals of each other. So, let's find the slope of the other line.
2. The equation given in the problem is written in Point-slope form:
Where m is the slope.
3. Therefore, the slope of its perpendicular line must be:
4. You have the point (-5,7), so you can substitute it into the point-slope formula to find the equation of the new line:
5. In slope intercept form is:
Answer:
13 centimeters per day.
Step-by-step explanation:
We have been given that during summer, the water level of the river increased by 78 centimeters in 6 days. We are asked to find the water level increase rate in centimeters per day.
To find the water level increase rate per day, we will divide total increase by total days as:
Therefore, the water level increase rate is 13 centimeters per day.