Answer:
5
Step-by-step explanation:
1) Solve for the slope(m):
(y2-y1) / (x2-x1)
pick any
(-3 - (-5) )/ (1 - 0)
(-3 + 5) / (1 - 0)
2/1 = 2
2) b(intercept) value is found when x = 0:
x = 0, y = -5,
b = y
b = -5
3) Plug it in:
y = mx + b
y = 2x - 5
4) when the value is 5, x = 5:
y = 2x - 5
y = 2(5) - 5
y = 10 -5 = 5
4. 15 tens, 1 hundred, 5 tens
150
5. 18 tens, 1 hundred, 8 tens
180
note: I hope this helps. I haven't done this in a long time. Sorry X(
Answer: (3,4)
Each input can only have one output for a function
The other pairs give a different output for the input so that would make it a relation not a function.
We have to translate the coordinates using the given rule.
The given rule is (x-4,y+3)
Now we have to translate the point A(4,6) using the given rule.
Then,
A' is (4-4,6+3)=(0,9)
Now the point B(-2,3) is to be transformed.
Then,
B' is (-2-4,3+3)=(-6,6)
Hence the answer is A'(0,9) and B'(-6,6)
Answer: x(t) = 5cm*cos(t*pi/2s)
Step-by-step explanation:
This is a sinusoidal equation, so we can write this as:
x(t) = A*cos(c*t + p) + B
where B is the axis around the movement, as the resting position is x = 0, we have B = 0
so x(t) = A*cos(c*t + p)
A is the amplitude of the oscilation, c is the frequency and p is a phase.
We know that when t = 0s, we have x(2s) = 5cm
if this is the maximum displacement, then knowing that the maximum of the cosine is cos(0) = 1
then we must have that p = 0
x(0s) = A*cos(0) = 5cm
then we have A = 5cm
Now, when t = 2s, we have:
x(2s) = 5cm*cos(2s*c) = -5cm
then 2s*c is the minimum of the cos(x) function, this is:
cos(pi) = -1
then 2s*c = pi
c = pi/2s.
then our function is:
x(t) = 5cm*cos(t*pi/2s)
