Answer:
Four unique planes
Step-by-step explanation:
Given that the points are non co-planar, triangular planes can be formed by the joining of three points
The points will therefore appear to be at the corners of a triangular pyramid or tetrahedron such that together the four points will form a three dimensional figure bounded by triangular planes
The number of triangular planes that can therefore be formed is given by the combination of four objects taking three at a time as follows;
₄C₃ = 4!/(3!×(4-3)! = 4
Which gives four possible unique planes.
Since this point is located in the fourth quadrant you have to rotate it 270 degrees counterclockwise which would end up being in third quadrant. which means the new point would be (-6,-9)
Answer:
Step-by-step explanation:
B + 2C
= w + 10 + 2(-w - 1)
= w + 10 -2w - 2
= -w + 8
Answer:
Answer A
Step-by-step explanation:
Approach 1
B, C, and D are wrong because angles 1 and 2 are congruent.
Therefore your answer of both being 60°
Approach 2
Let x = angle 1.
360/x = 6
x = 60°.
Therefore Angle 1 is 60°
An interior angle of a hexagon is 120°
Let y = angle 2.
y is half of 120°
So 120/y = 2
y = 60°
Step-by-step explanation:
Y= x - 2. Y = 3x + 5
Putting value of y
x - 2 = 3x + 5
-2 - 5 = 3x - x
-7 = 2x
-7/2 = x
Putting value of x
Y = 3(-7/2) + 5
Y = - 10.5 + 5
Y = - 5.5