Answer:
Step-by-step explanation:
Using the graph we can notice something
let's take the abscissa -2 and -4
- the ordinate that goes with -2 using g is 0
- the ordinate that goes with -4 using f is 0
so we can say that :
f(-4)=g(-2)
wait we khow that g(x)=f(k*x)
so x= -2 then let's replace it in the expression : f(k*x)
we get f(-4)=g(-2)=f[k*(-2)]
let's solve the equation: -2k = -4
k = -4/-2
k=2
so finally we get k=2
let's check :
from the graph we get :
we have (-1)*2 = -2
so it is true
Answer:
f(2) = -6
Step-by-step explanation:
f(x) = 3x - 12
Let x =2
f(2) = 3*2 -12
= 6-12
= -6
An arc of a circle has the same measure as the central angle that intercepts it.
Central angle 1 intercepts arc AB.
The measure of central angle 1 is the same as the measure of angle AB.
The measure of arc AB is 30 deg.
Answer:
77
Step-by-step explanation:
Answer:
(-4,9)
Step-by-step explanation:
To solve the system of equations, you want to be able to cancel out one of the variables. In this case, it'd be easiest to cancel out the x variables. To do this, you'll want to multiply everything in the first equation by 2 (2(x-5y=-49)=2x-10y=-98). Then, you can add the two equations together. 2x and -2x will cancel out, so you'll be left with -11y=-99. Next, solve for x by dividing both sides of the equation by -11, which will give you y=9. This is your y-coordinate! At this point, you're halfway to the answer as you just need your x-coordinate. It's not too difficult to find the x-coordinate, since you just substitute 9 into one of the equations. It doesn't matter which one you choose as you should get the same answer with both. I usually substitute the y-value into both equations, though, just to make sure I'm correct. Once you put the y-value into the equations, you should get x=-4 after solving it. :)
