In the graphic below, TRI = NLG by:

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the

Svetradugi [14.3K]

keeping in mind that perpendicular lines have negative reciprocal slopes, hmmmm what's the slope of that line above anyway,

$\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{1}}}\implies \cfrac{2+1}{3}\implies 1 \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\underline{1}\implies \cfrac{\underline{1}}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{\underline{1}}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{\underline{1}}\implies -1}}$

so we're really looking for the equation of a line whose slope is -1 and runs through (2,5)

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{5})~\hspace{10em} \stackrel{slope}{m}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-1}(x-\stackrel{x_1}{2}) \\\\\\ y-5=-x+2\implies y=-x+7$

8 0

2 years ago

Read 2 more answers

If U work overtime you will received and half for every hour over 40 hours I want to make an extra $300 by working overtime I ne

klasskru [66]

Answer:

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Step-by-step explanation:

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7 0

2 years ago

Please help me please please : ( : (

Gala2k [10]

Answer:

They will be picked up at 2 $\frac{1}{4}$ yards above sea level

Step-by-step explanation:

Let us consider sea level as reference and positions above sea level as positive and below sea level as negative.

With respect to this reference,

the position of top most point is +17 $\frac{3}{4}$ yards

and the position of lower most point is -13 $\frac{1}{4}$ yards

⇒ The position of midpoint is $\frac{+17 \frac{3}{4} - 13 \frac{1}{4}}{2}$

= +2 $\frac{1}{4}$

∴ <u>They will be picked up at 2 $\frac{1}{4}$ yards above sea level</u>

6 0

3 years ago

Could i get help? pleaseeee

My name is Ann [436]

Answer:

A for me beacause i understand quite

Step-by-step explanation:

Hope it helps good day

4 0

1 year ago

Let f(x) =[[x]], what is f(-5.2)

ANEK [815]

flooring a value, simply means, dropping it to the closest integer, so for the floor function or ⌊x⌋, that means

⌊ 2.5 ⌋ = 2

⌊ 2.00000001 ⌋ = 2

⌊ 2.999999999999⌋ = 2

⌊ -2.0000000001⌋ = -3

⌊ -2.999999999999⌋ = -3

let's recall that on the negative side of the number line, the farther from 0, the smaller, so -1,000,000 is a tiny number compared to the much larger -1.

⌊ -5.2 ⌋ = -6.

5 0

3 years ago