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DanielleElmas [232]
3 years ago
5

Absolute value of -1 +3i

Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0

Answer:

1+3i

Step-by-step explanation:

i is a variable. -1 has an absolute value of 1. 3i is multiplying i by 3.

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Carl is going to make a frame for a picture. The dimensions of the frame need to be 2 feet by 18 inches. How long must the board
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Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through
stiks02 [169]

Answer:

x + 2y= 2

Step-by-step explanation:

Given

Points:

F = (4,9)

G = (1,3)

Required

Determine the equation of line that is perpendicular to the given points and that pass through (2,0)

First, we need to determine the slope, m of FG

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

F = (4,9) --- (x_1,y_1)

G = (1,3) --- (x_2,y_2)

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m = \frac{- 6}{- 3}

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The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

m_2 = -\frac{1}{m}

m_2 = -\frac{1}{2}

The equation of the line is then calculated as:

y - y_1 = m_2(x - x_1)

Where

m_2 = -\frac{1}{2}

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y  = -\frac{1}{2}(x - 2)

y  = -\frac{1}{2}x + 1

Multiply through by 2

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Add x to both sides

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x + 2y= 2

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Blizzard [7]

Answer:

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Reorder the terms in parentheses

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Remove unnecessary parentheses

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We simplify left and right side of the equation.  

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We divide both sides of the equation by -07 to get z.  

z=9

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