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mads3499
06.10.2019 •
Mathematics
What is the equation of the line that is perpendicular to the given line and passes though the point (3,0)? is the
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Ответ:
The correct option is (D)![5x-3y=15.](/tpl/images/0295/0386/302b1.png)
Step-by-step explanation: We are given to find the equation of a line that is perpendicular to the graphed line and passes through the point (3, 0).
From the graph, we note that
the graphed line passes through the points (2, -1) and (-3, 2).
The SLOPE of a straight line passing through the points (a, b) and (c, d) is given by
So, the slope of the graphed line is
We know that the product of the slopes of two perpendicular lines is -1. So, if m' is the slope of a line perpendicular to the graphed line, then
Since the line with slope m' passes through the point (3, 0), so its equation will be
Thus, the required equation of the perpendicular line is![5x-3y=15.](/tpl/images/0295/0386/302b1.png)
Option (D) is CORRECT.
Ответ:
$12.64
Step-by-step explanation:
From the question, we are informed that Rachel finished a meal at a diner and received a bill for $10.99 and that she charged the bill along with a 15 percent gratuity to her credit card.
The total amount she charged to her credit card will then be:
= $10.99 + (15% × $10.99)
= $10.99 + (0.15 × $10.99)
= $10.99 + $1.6485
= $12.6385
= $12.64