306 cause 2448divided by 8
Perpendicular lines have slopes that are negative reciprocals of each other, so the equation of the line in point-slope form is:
Rewriting this in standard form,
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.
Fact #1:
A cube has six faces.
Fact #2:
Every one of them has the same area.
Fact #3:
The surface area of each face is (the length of the cube's side)²
Now that I look at this one more carefully, the only thing you need to know
to solve it is Fact #3. (But you can keep the others and save them for later.)
The surface area of each face is (the length of the cube's side)²
64 is the (length of the cube's side)²
Can you find a number that gives you 64 when you multiply it by itself ?
That's the length of the cube's side.
Hint: If you don't get ' 8 ', work on it a little more.
When the question says that triangle ABC ~ triangle DEF, that means the triangles are similar. This means that their proportions are the same.
In triangle ABC, side length AB is the equivalent of side length DE in triangle DEF.
Since the proportions must be the same, we can take the known side from triangle ABC, find the equivalent of it on triangle DEF, and find the proportions.
We already found that side length AB ~ side length DE.
Now we can divide the lengths to find the proportions.
28 / 8 = 3.5
This means that each side on triangle ABC will be 3.5 times greater than the equivalent side on triangle DEF.
The length of AC in triangle ABC is 3.5 times the length of DF in triangle DEF.
Side length DF is 10.
Multiply 3.5 by 10 to get the length of AC.
3.5 • 10 = 35
So the length of AC is 35 units.
Answer:
Side length AC in triangle ABC is 35 units.
Hope this helps!
