Answer: (b) exactly one plane contains a given line and a point not on the line.
Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-
(i) The intersection of two lines determines a point,
(ii) Two parallel lines give result to a plane,
(iii) A line and a point not on the line determines a plane, etc...
Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.
Hence, the correct option is (b).
Answer:
<em>x = 0 </em>
<em>y = 2</em>
<em>z = -3</em>
Step-by-step explanation:
x-y-2z=4 (1)
-x+2y+z=1 (2)
-x+y-3z=11 (3)
(1) + (3) = x-y-2z + (-x)+y-3z = 4+11
= -5z = 15
-> z = -3
(1) + (2) = x - y - 2z + (-x) + 2y + z = 4+1
= y-z = 5
= y- (-3) = 5
-> y = 2
(1) = x-y-2z = 4
= x - 2 - 2 * (-3) = 4
-> x = 0
4000 divide by 160 to get the cost of each book
4000 / 160 = 25
So that's £25 per book, multiply that by two because they gave two away which is £50 so they lost £50
Answer: 349 square units
============================================
Work Shown:
- L = 5.5 = length
- W = 5 = width
- H = 14 = height
SA = surface area of rectangular prism
SA = 2*(L*W + L*H + W*H)
SA = 2*(5.5*5 + 5.5*14 + 5*14)
SA = 2*(27.5 + 77 + 70)
SA = 2*(174.5)
SA = 349
The surface area is 349 square units.
Answer:
4/2−3⋅4+7 = -3
not sure where the "power or base" are in this problem?
Step-by-step explanation:
