Answer:
6x^3 + 3x^2 - x
Step-by-step explanation:
6x^3 - X x (1-3x)
= 6x^3 - x + 3x^2
=6x^3 + 3x^2 - x
Answer:
C, F.
Step-by-step explanation:
All angle measures are preserved in a dilation. And if all angle measures are preserved, it makes the triangles similar by the AA similarity theorem.
A tangent (here WZ in the question) to any circle (here O in the question) is a line segment that touches the circle at only one point (here B in the question) on circumference of circle, and the radius of the circle (here OB in the question) through this point is always perpendicular to that particular tangent.
In other words, Tangent (WZ) and Radius (OB) of any circle (O) always make a Right angle at point of intersection (B) on its circumference.
It means angle ∠OBZ would be a Right angle i.e. 90 degrees.
So, option B i.e. 90 degrees is the final answer.
Answer:
So F(x+3) = (x+3+5)/2 = (x+8)/2
Step-by-step explanation:
Given F(2x-1) = x+2
Put 2x-1 = y=> x = (y+1)/2
Hence F(y) = (y+1)/2 +2 = (y+5)/2
So F(x) = (x+5)/2
So F(x+3) = (x+3+5)/2 = (x+8)/2.
Answer:
It takes 1.68 hours to catch up to them.
Step-by-step explanation:
The speed of robber = 71 mph
The speed of police = 78 mph
The police start 10 minutes later
by that time robber would have travelled
10 minutes =0.166667 hours
then the distance = 11.8 mph
Let them meet at distance x from the bank.
time taken by police to reach x , time =
----------------------(1)
time taken by robber in the same time = 
---------------(2)
Equating (1) and (2)
71x =78x - 920.4
920.4 = 78x - 71x
920.4 = 7x
x = 131.48
The distance where they catch up with the robber from the bank is 131.48 miles
speed of police = 78 mph
distance = 131.48 miles
time they catch up = 
= 1.68 hours
