I think your teacher's just asking for the multiplied out version, so there's no work to do
3. -2(3m + 9) = -6m - 11
4. -6(z-1) = -6z + 6
5. -(m +1) = -m - 1
6. -(x+4) = x = 4
7. b(a- 6) = ab - 6b
8. 7a(3b -2c + 4) = 21ab - 14ac +28a
9. 1/2(8x + 2) = 4x + 1
10. 2/3(1/4x -6) = 1/6x - 4
Answer:
b = 9
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 12² = 15²
b² + 144 = 225 ( subtract 144 from both sides )
b² = 81 ( take the square root of both sides )
b =
= 9
D. If you ask the amount of projects completed using the computer lab you are asking a statistical question. Hope this helps!
Given the function:

Let's find the amplitude and period of the function.
Apply the general cosine function:

Where A is the amplitude.
Comparing both functions, we have:
A = 1
b = 4
Hence, we have:
Amplitude, A = 1
To find the period, we have:

Therefore, the period is = π/2
The graph of the function is shown below:
The parent function of the given function is:

Let's describe the transformation..
Apply the transformation rules for function.
We have:
The transformation that occured from f(x) = cosx to g(x) = cos4x using the rules of transformation can be said to be a horizontal compression.
ANSWER:
Amplitude = 1
Period = π/2
Transformation = horizontal compression.
Answer:
Step-by-step explanation:
Neutron: has mass and no charge
Protons: has mass and a positive charge