Write the equation of the line perpendicular to 3x+y=-8 that passes through (-3,1) . Write your answer in slope-intercept form.
2 answers:
The perpendicular vector of 3x + y = -8 would be [3, 1]. Thus, you know that the slope would be 1/3 (the vector is in the form of [x, y]).
Use point-slope form with the perpendicular slope and the point (-3, 1):
You can simplify this if you want to (maybe to make it look a bit more "cleaner") and either put it as standard form or slope-intercept form.
Use point-slope form with the perpendicular slope and the point (-3, 1):
You can simplify this if you want to (maybe to make it look a bit more "cleaner") and either put it as standard form or slope-intercept form.
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Answer:
The number of seniors who scored above 96% is 1.
Step-by-step explanation:
Consider the provided information.
Two percent of all seniors in a class of 50 have scored above 96% on an ext exam.
Now we need to find the number of seniors who scored above 96%
For this we need to find the two percent of 50.
2% of 50 can be calculated as:
Hence, the number of seniors who scored above 96% is 1.
Answer:
2nd debate was 3 hours long.
Step-by-step explanation:
We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.
Let us find the estimate of time spent on 2nd debate.
1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.
Therefore, the estimated time is less 4 hours.
To find the time spent on 2nd debate, we will multiply 1 2/3 by 1 4/5.
First of all, we will convert mixed fractions into improper fractions as:
Now, we will multiply both fractions as:
Therefore, the 2nd debate was 3 hours long.