Threatened monarch butterflies are monitored by measuring the area occupied by overwintering butterflies in Mexico. According to
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AB and BC form a right angle at their point of intersection. This means AB is perpendicular to BC.
We are given the coordinates of points A and B, using which we can find the equation of the line for AB.
Slope of AB will be:
Using this slope and the point (2,1) we can write the equation for AB as:
The above equation is in slope intercept form. Thus the y-intercept of AB is 4/3.
Slope of AB is -1/6, so slope of BC would be 6. Using the slope 6 and coordinates of the point B, we can write the equation of BC as:
y - 1 = 6(x - 2)
y = 6x - 12 + 1
y = 6x - 11
Point C lies on the line y = 6x - 11. So if the y-coordinate of C is 13, we can write:
13 = 6x - 11
24 = 6x
x = 4
The x-coordinate of point C will be 4.
Therefore, the answers in correct order are:
4/3 , 6, -11, 4
We are given the coordinates of points A and B, using which we can find the equation of the line for AB.
Slope of AB will be:
Using this slope and the point (2,1) we can write the equation for AB as:
The above equation is in slope intercept form. Thus the y-intercept of AB is 4/3.
Slope of AB is -1/6, so slope of BC would be 6. Using the slope 6 and coordinates of the point B, we can write the equation of BC as:
y - 1 = 6(x - 2)
y = 6x - 12 + 1
y = 6x - 11
Point C lies on the line y = 6x - 11. So if the y-coordinate of C is 13, we can write:
13 = 6x - 11
24 = 6x
x = 4
The x-coordinate of point C will be 4.
Therefore, the answers in correct order are:
4/3 , 6, -11, 4
<h2>Answer:</h2><h2>The actual height of the building = 36 feet.</h2>
Step-by-step explanation:
By blue print conversion,
2 inches = 8 feet
Therefore, 1 inch = = 4 feet
1 inch = 4 feet
The height of the building on the blueprint = 9 inches
The actual height of the building = 9 * 4 = 36 feet.