Answer:
the equation of the axis of symmetry is 
Step-by-step explanation:
Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form: 
, being that constant the very x-coordinate of the vertex.
So we use for that the fact that the x position of the vertex of a parabola of the general form: 
, is given by:
which in our case becomes:
Then, the equation of the axis of symmetry for this parabola is:
Write out the numbers between 24 and 33: {24, 25, 26, 27, 28, 29, 30, 31, 32, 33}
How many numbers have we here? 10.
How many of these numbers are odd? {25, 27, 29, 31, 33}
Strictly speaking, "between 24 and 33" does not include {24, 33}.
Thus, the odd numbers between 24 and 33 are {25, 27, 29, 31}
The chances of drawing an odd number between 24 and 33 are then 4 / 10.
If, however, we omit the endpoints 24 and 33, then there are 8 numbers between 24 and 33: {25, 27, 29, 31}
and the odds of choosing an odd number from these eight numbers is 4/8, or 1/2, or 0.50.
Answer:
a. FG ≈ 6.983 cm
b. FH = 13.16 cm
Step-by-step explanation:
<h3>a)</h3>
Corresponding sides of similar triangles are proportional. This means ...
FG/GH = CD/DE
FG = GH(CD/DE) = (9.4 cm)(2.6/3.5) . . . . . . multiply by GH; fill in values
FG ≈ 6.983 cm
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<h3>b)</h3>
And ...
FH/GH = CE/DE
FH = GH(CE/DE) = (9.4 cm)(4.9/3.5)
FH = 13.16 cm
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<em>Additional comment</em>
Corresponding vertices are listed in the same order in the similarity statements. This means, for example, segment FG (which names the first two vertices in the name of ΔFGH) will correspond to segment CD (which names the first two vertices of ΔCDE).
Answer:
B, the y-intercept
Step-by-step explanation:
The y-intercept will change but all else will stay the same.
When you shift a function up and down, the y-intercept will change.
