Answer:
First option: 
Second option: 
Fourth option: 
Step-by-step explanation:
Rewrite each equation in the form
and then use the Discriminant formula for each equation. This is:

1) For
:

Then:
Since
this equation has no real solutions, but has two complex solutions.
2) For
:

Then:
Since
this equation has no real solutions, but has two complex solutions.
3) For
:

Then:
Since
this equation has one real solution.
4) For
:
Then:
Since
, this equation has no real solutions, but has two complex solutions.
Let A and B be the two complementary angles.
A = smaller angle = 2x
B = larger angle = 13x
x = some unknown number
Note how the ratio A:B turns into 2x:13x which simplifies to 2:13
A+B = 90 ... because the angles are complementary
2x+13x = 90 ... substitution
15x = 90
x = 90/15
x = 6
A = 2*x = 2*6 = 12 degrees
B = 13*x = 13*6 = 78 degrees
The two angles are 12 degrees and 78 degrees.
Check:
A/B = 12/78 = (2*6)/(13*6) = 2/13, so A:B = 2:13
A+B = 12+78 = 90
Answer:
i dont get it
Step-by-step explanation:
24 feet
Set up a ratio of object height to shadow length.
So x/32=6/8
8(4)=32 so 6(4) would be 24.
The translation of four units up describes the transform function g(x) option first is correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The question is:
The graph shows f(x)=(1/2)ˣ and its translation, g(x).
Which describes the translation of f(x) to g(x)?
- Translation of four units up
- Translation of five units up
- Translation of four units to the right
- Translation of five units to the right
The graph is attached please refer to the picture.
We have the equation of the function f(x):

From the graph, we can see the graph of the function f(x) is shifted up 4 units because the y-intercept of the graph g(x) is (0, 5)
g(x) = f(x) + 4

Thus, the translation of four units up describes the transform function g(x) option first is correct.
Learn more about the function here:
brainly.com/question/5245372
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