Answer: C
Step-by-step explanation:
Given that the line -3x + y/2 = -3 passes through the points (1, 0) and (0, -6).
First rearrange the equation
-3x + y/2 = -3
Y = 2( 3x - 3 )
Y = 6x - 6 ..... (1)
Also, the slope of points (1, 0) and (0, -6). Will be
M = ( -6 - 0 )/( 0 - 1 )
M = -6/-1
M = 6
Using general linear equation
Y = MX + C
Let Y = 0 and X = 1
0 = 6(1) + C
C = -6
Substitutes C back into the equation
Y = 6x - 6 ...... (2)
The value of b that will cause the system to have infinitely many number of solutions is 6
Speed = distance / time
3 hours 45 minutes = 3.75 hours
80 = distance / 3.75
distance = 80 * 3.75 = 300 kms Answer
Answer:
The correct option is A: they are equidistant from origin
Step-by-step explanation:
Since the rotation is performed around the fixed axis on its origin, there will not be any change to the distances between the origin and the point n or n'. The size of the rectangle has neither increased or decreased so, it cannot be possible that the distance between the origin and the point n could change after the object is rotated.
Hope that answers the question, have a great day!
Answer:
x = 25/4
Step-by-step explanation:
Because of the known similarity of the triangles, we know that
10 x
----- = ----
16 10
Cross-multiplying, we get 16x = 100, and thus x = 100/16 = 50/8 = 25/4
x = 25/4
