A point starts at the location (−4,0)and moves CCW along a circle centered at (0,0) at a constant angular speed of 2 radians per second. Let t represent the number of seconds since the point has swept out since it started moving. Draw a diagram of this to make sure you understand the context! Suppose the point has traveled for 0.25 seconds (t=0.25). How many radians would need to be swept out from the 3-o'clock position [or from (4,0)] to get to the point's current position?
 radians   

Write an expression in terms of t to represent how many radians would need to be swept out from the 3-o'clock position to get to the point's current position.

Write a function g that determine's the point's x-coordinate in terms t.
g(t)=

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relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

it alot will look like this 4.4

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!