First, we draw our line.
|------------------------------------------------------------------------------------|
a e
Next, break up this line into segments using the information.
|----------------------|----------------------|--------------------|------------------|
a b c d e
The entire line is 29.
ab + bc + cd + de = ae
ab + bc + cd + de = 29
You also know that
bd = bc + cd
Due to midpoint theorem,
ab = bc
cd = de
Then,
2ab + 2cd = 29
The equations we will use are
bd = bc + cd eq1
2bc + 2cd = 29 eq2
Dividing both sides of the equation in eq2 yields
bc + cd = 14.5
bd = bc + cd
bd = 14.5
Answer:
<h2>x = -1</h2>
Step-by-step explanation:
According to the given table, we see that for <em>x = -1</em>, the function is not defined, that means that the rational function has a restriction there, and such restriction is shown as an asymptote in the graph of the function.
So, basically, we could say that the given rational function has one asymptote and it's at x = -1, which is a vertical asymptote, because all forms like x = k, are vertical lines, that is, they are parallel to the vertical axis.
Therefore, the right answer is the third choice.
Answer:
A. right 2, up 3
Step-by-step explanation:
We have that,
The function 
is transformed to 
.
We see that,
The function f(x) is translated 2 units to the right and 3 units upwards to obtain the function g(x).
So, the correct transformation is 'right 2, up 3'.
Hence, option A is correct.
Answer:
64.89 is the total cost
Step-by-step explanation:
63 x .03 = 1.89
63 + 1.89 = 64.89
In the original statement, it says 'in addition to the initial $50' meaning that you're adding $50+$60. The correct answer would be: She gained $60.
