the line is negative because it goes down as you move right
slope = rise/run = 4/2 = 2
y = 2x+b
use a point on the line - I picked (-4, 3)
3 = 2(-4)+b
3 = -8+b
11 = b
<h2>
y = 2x +11</h2>
Answer:
Choice 3 is your answer
Step-by-step explanation:
The format of the function when you move it side to side or up and down is
f(x) = (x - h) + k,
where h is the side to side movement and k is up or down. The k is easy, since it will be positive if we move the function up and negative if we move the function down from its original position.
The h is a little more difficult, but just remember the standard form of the side to side movement is always (x - h). If our function has moved 3 units to the left, we fit that movement into our standard form as (x - (-3)), which of course is the same as (x + 3). Our function has moved up 5 units, so the final translation is
g(x) = f(x + 3) + 5, choice 3 from the top.
Answer:

Step-by-step explanation:
The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by
, where
is the radius of the circle and
is the angle of the arc.
In this problem, we're given:

Substituting given values, we get:

Answer:
26+32=10v
add numbers
58=10v
10v=58
divide both sides by 10
v=5.8
There will be 6 vans needed
58/6=9.6
There will be 10 students in four vans, and 9 students in two vans.