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3 years ago

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A = {1,3,5,6,7,8,9} B = {3,7,12,13,14} 6) ANB 7) AUB How do I solve this?

1 answer:

maxonik [38]3 years ago

8 0

Answer:

AnB=3,7

AuB=3,7,1,5,6,8,9,12,13,14

=1,3,5,6,7,8,9,12,13,14

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Oksana_A [137]

Answer:

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3 years ago

The value of x is ____

ruslelena [56]

Answer: x = 96

---------------------------------------

Work Shown:

The sum of the exterior angles for any polygon is 360 degrees. So add up the three exterior angles, set the sum equal to 360 and solve for x

130+134+x = 360
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As a check,
130+134+x = 130+134+96 = 360
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3 years ago

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Step-by-step explanation:

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3 years ago

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1 year ago

Find the equation of the line which passes through the point (7,2) and is perpendicular to y=5x-2

MariettaO [177]

Answer:

$\displaystyle y=-\frac{1}{5}x+\frac{17}{5}$

Step-by-step explanation:

<u>Equation of a line</u>

A line can be represented by an equation of the form

$y=mx+b$

Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.

We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.

Two lines with slopes m1 and m2 are perpendicular if:

$m_1.m_2=-1$

The given line has a slope m1=5, thus the slope of our required line is:

$\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{5}$

The equation of the line now can be expressed as:

$\displaystyle y=-\frac{1}{5}x+b$

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$\displaystyle 2=-\frac{1}{5}*7+b$

Operating:

$\displaystyle 2=-\frac{7}{5}+b$

Multiplying by 5:

$10=-7+5b$

Operating:

$10+7=5b$

Solving for b:

$\displaystyle b=\frac{17}{5}$

The equation of the line is:

$\boxed{\displaystyle y=-\frac{1}{5}x+\frac{17}{5}}$

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3 years ago