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Readme [11.4K]
3 years ago
8

Simplify the expression (6+I)(9-4i)

Mathematics
1 answer:
Vlada [557]3 years ago
4 0
54 - 24i + 9i + 4
(54 + 4) + (-24i + 9i)
58 - 15i
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Given the lengths of sides XY and XZ as shown in triangle XYZ below, what is the length of side YZ?
kolezko [41]

Answer:

YZ = 12

Step-by-step explanation:

From the question given above, the following data were obtained:

Length of XZ = 13

Lenght of XY = 5

Lenght of YZ =?

The length of YZ can be obtained by using pythagoras theory since the figure is a right angle triangle. This can be obtained as follow:

XZ² = XY² + YZ²

13² = 5² + YZ²

169 = 25 + YZ²

Collect like terms

169 – 25 = YZ²

144 = YZ²

Take the square root of both side.

YZ = √144

YZ = 12

Therefore, the length of YZ is 12

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Answer:

Answer C:  g(x)

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I used a graphing calculator to graph f(x) = -x^2 + 4x - 5, and by doing so I immedately saw that the vertex of f(x) is at (2, -1).

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The absolute max of f(x) is approximately (2, -1).

Since the y-coordinate of the absolute maximum of g(x) is greater than the y-coordinate of the absolute maximum of f(x), we conclude that Answer C is correct:  g(x) has the greater absolute maximum

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True

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