What is the slope of the line that is perpendicular to the line that passes through (-2, 7) and (4, 9)? Type a numerical answer
1 answer:
Answer:
Therefore = -3.
Step-by-step explanation:
i) let us say the slope of the line passing through (-2,7) and (4,9) is .
ii) to find the slope of the line passing through two points (,
) and (
,
) we use the formula m =
. Therefore we can say that
=
=
.
iii) let us say the slope of the perpendicular line to the line passing through (-2,7) and (4,9) is
iv) from the formula for the slopes of a line and the line perpendicular to it which is given by ×
= -1, therefore
= -1 ÷
= -3. Therefore
= -3
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Answer:
7,200
Step-by-step explanation:
Let's start by calculating how many students the university accepts. The problem says they accept 60% of the students. 60% as a decimal is 0.6. To calculate 60% of something, you multiply .60 by whatever quantity. In this case, it would be the students.
Number of accepted students = = 18,000
The university accepts 18,000 students.
Now, the next problem is that of those accepted students, we need to find out how many actually enroll. The problem says they accept 40% of the accepted students. Applying the same principle,
Number of enrolled students = = 7,200
The number of students that actually enroll is 7,200.
Alternatively, would give you the same result.
Combining the pieces together, we are asking for 60% of 30,000. Then getting 40% of that 60%.