Answer:
The midpoint of the segment is (6, 4.5).
Step-by-step explanation:
Midpoint of a segment:
The midpoint of a segment is given by the mean of the coordinates of their endpoints.
Segment with coordinates (3,6) and (9,3).
Mean x-coordinate: (3+9)/2 = 12/2 = 6
Mean y-coordinate: (6+3)/2 = 9/2 = 4.5
The midpoint of the segment is (6, 4.5).
We can eliminate one of the variables to solve for the other variable, as in both equations, y has opposite coefficients. Combine these two equations:
Divide both sides by 2 to get x by itself:
Plug this value into the second equation:
Subtract 123 from both sides to get y by itself:
Malik has
123 domestic stamps and 89 foreign stamps.
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
A. 44.99 + 0.75(29.99)x = 44.99 + 22.49x
B. 1.08(44.99 + 22.49x )
C. 1.08(44.99 + 22.49(4)) = 1.08 (44.99 + 89.96) = 1.08(134.95) = 145.75
We know that
[LA]=pi*r*l
where
LA is the lateral area of the cone
r is the radius
l is the slant height
l=LA/(pi*r)
r=15.1 cm
LA=555*pi cm²
l=(555*pi)/(pi*15.1)----> l=36.75 cm
the answer is
the slant height is 36.75 cm
