Answer:
- C) (x − 3)2 = 25
- C) Factor out 4 from 4x2 + 40x.
Step-by-step explanation:
1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.
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2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.
Here, that looks like ...
4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4
4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation
4(x +5)² = 180 . . . . . . . . . . . written as a square
Answer: The graph is attached.
Step-by-step explanation: The given functions whose graphs are to be compared are as follows:
In the attached figure, the graphs of both (A) and (B) are shown. We can easily see see from there, the shapes of both the graphs are same.
But, at x = 0, y = ∞ and at x = ∞, y = 0 in graph (A).
At x = 0, y = ∞ and at x = ∞, y = 6 in graph (B).
Thus, the comparison can be seen in the figure very clearly.
Answer:
-5/7
Step-by-step explanation:
Look at the graph. As we move from left to right from (-3, 2) to (4, -3), x increases by 7 and y decreases by 5. Thus, the slope is
m = rise/run = -5/7.
Answer:
5.6 ft
Step-by-step explanation:
sin a = 8/10
sin a = x/7
8/10 = x/7
x = 8/10 * 7 = 28/5 = 5.6 ft
Answer:
4
Step-by-step explanation:
in similarity the ratio of the similar sides is the same i.e
10/5 =8/x
2x=8
x= 4
