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KatRina [158]
3 years ago
8

Please help me with these 3 questions​!!Thanks!!***BRAINLIEST**

Mathematics
1 answer:
dimaraw [331]3 years ago
5 0

Answer:

Step-by-step explanation:

Left Frame

f(x) is a horizontal line from x = 1 to x = 3. So the y values are the same in that interval.

when y = 1, x = 3

so f(3) = 1

The answer is III

Question Second from the right

The trick is to get the denominator so it is not a complex number. You do that by multiplying by the conjugate which is 8 - 2i. If you do that to the denominator, you must do it to the numerator.

Denominator: (8 + 2i)(8 - 2i) = 64 - 16i + 16i - 4i^2

Denominator: 64 + 4

Denominator: 68

Numerator: (3 - 5i)(8 - 2i)

Numerator: 24 - 6i - 40i + 10*i^2

Numerator: 24 - 46i - 10

Numerator: 14 - 46i

So in some form or other the answer is

\dfrac{14 - 46i}{68} = \dfrac{7}{34} - \dfrac{23i}{34}

Right Frame

Here, the slopes must be the same. So calculate the slope of the left line and make that equal to the slope of the right line's expression

<u>Left Line</u>

Left = (y2 - y1)/( x2 - x1) = (2 - 0)/(0 - - 5) = 2/5

<u>Right line</u>

Right  = (y2 - y1) / (x2 - x1) = (0 - - 4) / (p - 0) = 4/p

Now Equate them (they are parallel and have the same slope)

2/5 = 4/p           Cross multiply

2p = 5*4            Combine the right

2p = 20              Divide by 2

2p/2 = 20/2       Do the division

p = 10

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