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.
The common rule is (x - 1, y + 3) can be used to describe the translation.
Step-by-step explanation:
Step 1:
The point J (-3, -4) becomes 
(-4, -1).
In order to write the rule for translation from J to , we subtract the x coordinate of J from and subtract the y coordinate of J from .
The x coordinate 
The y coordinate 
Step 2:
So from the calculations, we get that the x coordinate is subtracted by 1 i.e. 
and the y coordinate is increased by 3 i.e. 
.
So the common rule is (x - 1, y + 3).
Answer:
Distance in meters D = 167.75 meters
Step-by-step explanation:
Distance covered in 5 seconds is given by:
Distance, D = Speed (S) X Time (T)
Where,
Distance = ?
Speed = 75mph
Time = 5s
Since we are calculating distance in meters, we have to convert 75miles per hour to meters per second
75mph = 75miles/1hr X 1km/0.621miles X 1000m/1km X 1hr/60mins X 1min/60s
= (75X1000) / (0.621X60X60) meter per second
= 75000/2235.6 meter per second
= 33.55 meter per second
∴ Distance D = 33.55 meter per second X 5 seconds
= 167.75 meters
Answer:
Step-by-step explanation:
Let the two numbers be x and y
x = y - 5......(1)
2y = 3x.......(2)
Putting (1) into (2)
2y = 3(y - 5)
2y = 3y - 15
Collecting like terms
2y - 3y = -15
-y = -15
y = 15
Putting y = 15 in (1)
x = y - 5
x = 15 - 5
x = 60
