Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. How many adu
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To get the perimeter of the trapezoid, we will add the lengths of the 4 sides together.
So, first we will need to get the length of each side.
Base of trapezoid = 8 - 2 = 4 units
The upper edge of the trapezoid = 6 - 4 = 2 units
Now, for the two side edges, we can note that they are both equal. So, we need to get only one length (as the other would be the same). I will get the length of the left side.
Coordinates of the start point are (2,4) which represent (x1,y1)
Coordinates of the end point are (4,9) which represent (x2,y2)
To get the distance between the two points, we will use the rule attached in the image below as follows:
distance = sqrt ((4-2)^2+(9-4)^2)
distance = √29
Therefore, each of the side edges equal √29 units
From the above, we can now easily get the perimeter as follows:
perimeter = 6 + 2 + √29 + √29
perimeter = 8 + 2√29 units
Based on the above calculations, the best choice would be:
D. 8 + 2√29 units
So, first we will need to get the length of each side.
Base of trapezoid = 8 - 2 = 4 units
The upper edge of the trapezoid = 6 - 4 = 2 units
Now, for the two side edges, we can note that they are both equal. So, we need to get only one length (as the other would be the same). I will get the length of the left side.
Coordinates of the start point are (2,4) which represent (x1,y1)
Coordinates of the end point are (4,9) which represent (x2,y2)
To get the distance between the two points, we will use the rule attached in the image below as follows:
distance = sqrt ((4-2)^2+(9-4)^2)
distance = √29
Therefore, each of the side edges equal √29 units
From the above, we can now easily get the perimeter as follows:
perimeter = 6 + 2 + √29 + √29
perimeter = 8 + 2√29 units
Based on the above calculations, the best choice would be:
D. 8 + 2√29 units
Answer:
1. Yes, the lines are perpendicular.
2.
Step-by-step explanation:
The first equation of Exercise 1 is incomplete. Let's assume that it is:
Where "n" is a number.
First, it is important to remember that the equation of a line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
By definition, the slopes of perpendicular lines are negative reciprocals.
1 . If you solve for "y" from the first equation, you get:
You can identify that the slope is:
The second equation of the line is:
And its slope is:
Since the slopes are negative reciprocals, the lines are perpendicular.
2. Given the first equation of the line:
You can identify that:
Since the first line and the second one are perpendicular, you know that the slope of the other line is:
According to the information given in the exercise, both lines have the same y-intercept; therefore, the equation of the second line is: