HELPPP If Julie makes $20,000 a year, how much will she make in a day?
1 answer:
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Given:
The slope of a line is .
To find:
The lines in the options are parallel, perpendicular or neither parallel nor perpendicular to the given line.
Solution:
We know that the slopes of parallel lines are equal.
The slope of line Q and the slope of given line are same, i.e., . So, the line Q is parallel to the given line.
The slope of a perpendicular line is the opposite reciprocal of the slope of the line because the product of slopes of two perpendicular lines is -1.
The slope of a line is . It means the slope of the perpendicular line must be
. So, the line N is perpendicular to the given line.
The slopes of line M and P are neither equal to the slope of the given line nor opposite reciprocal of the slope of the line.
Therefore, the lines M and P are neither parallel nor perpendicular.
Answer:
Carlos has practiced piano for hours.
Carlos needs to practice hours.
Step-by-step explanation:
We have been given that Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.
First of all, we will find piano practiced before school and after school by adding both amounts as:
Make a common denominator:
Add numerators:
Therefore, Carlos has practiced piano for hours.
Now, we will subtract from 2 find number of hours Carlos needs to practice to reach his goal.
Therefore, Carlos needs to practice hours before going to bed in order to meet his goal.