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Nikitich [7]
3 years ago
8

Homework due at 12:00 I Need Help

Mathematics
1 answer:
Leya [2.2K]3 years ago
6 0

Answer:

<em>k = - 7.5 </em>

Step-by-step explanation:

Slope "m" of a line through points

( x_{1} , y_{1} )

( x_{2} , y_{2} )

is m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

Slopes of perpendicular lines are opposite reciprocal: m_{1} m_{2} = - 1

~~~~~~~~~~~~~~~

The slope of a line through points (0, 7) and (2, 10)

m_{1} = \frac{10-7}{2-0} = \frac{3}{2}

Slope of perpendicular line through points (3, 5) and (k, 12) is m_{2} = -\frac{2}{3}

or m_{2} = \frac{12-5}{k-3}

\frac{7}{k-3} = -\frac{2}{3}

2(k - 3) = - 21

k - 3 = - 10.5

<em>k = - 7.5</em>

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Match the following exponential functions with their "b" value.
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Answer:

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Step-by-step explanation:

The functions are given in the form ...

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The "b" value is the value immediately to the left of the exponent. (It's not rocket science; it's pattern matching.) Note that the minus sign in g(x) is part of 'a', not part of 'b'.

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.............................screenshot
antoniya [11.8K]

Answer:

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Step-by-step explanation:

Lets take this step by step

Bottom rectangle is 2 by 5, so then 2*5 = 10

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Answer:

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Step-by-step explanation:

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