Find an equation of the plane that passes through the points p, q, and r. p(7, 2, 1), q(6, 3, 0), r(0, 0, 0)
Alona [7]
Answer:
x - 2y - 3z = 0
Step-by-step explanation:
The cross product of vectors rp and rq will give a vector that is normal to the plane:
... rp × rq = (-3, 6, 9)
Dividing this by -3 (to reduce it and make the x-coefficient positive) gives a normal vector to the plane of (1, -2, -3). Usint point r as a point on the plane, we find the constant in the formula to be zero. Hence, your equation can be written ...
... x -2y -3z = 0
Answer:
Step-by-step explanation:
Distance =
Here X is -3
So,
Point Y = -3 + 6.5 = 3.5
Hope this helped!
<h3>~AH1807</h3>
Answer: B) Profit per shirt goes from $10 to $15
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Explanation:
Focus on the two points (2,0) and (3,10). The slope of the line through these points is
m = (y2-y1)/(x2-x1)
m = (10-0)/(3-2)
m = 10
Meaning the profit per shirt for this line is $10 per shirt.
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Now move onto the other line. Focus on the points (9,40) and (11,70)
m = (y2-y1)/(x2-x1)
m = (70-40)/(11-9)
m = 15
The profit per shirt has gone up to $15 per shirt
Answer:
80 feet.
Step-by-step explanation:
Given:
The length of a rectangular garden is 10 yards and its width is 10 feet.
To find:
Perimeter of the garden in feet ?
Solution:
Length = 10 yards
1 yard = 3 feet
10 yards = 3 10 = 30 feet
Breadth = 10 feet
Now, as we know:
Hence, the perimeter of the garden is 80 feet.