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3 years ago

What kind of triangle is Triangle CED categorized by side lengths?

1 answer:

7 0

I believe there has to be an image included with this question my friend. Thine error hath been made known by the supreme lord of dao.

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Find the equation of a line passing through (-4,-3) and perpendicular to<br> 3 x + 2 y = 14.

Reil [10]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

$3x+2y=14\implies 2y=-3x+14\implies y=\cfrac{-3x+14}{2}\implies y = \cfrac{-3x}{2}+\cfrac{14}{2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{2}}x+7\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so therefore

$\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{-3}\implies \cfrac{2}{3}}}$

so we're really looking for the equation of a line whose slope is 2/3 and passes through (-4 , -3)

$(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{2}{3}}(x-\stackrel{x_1}{(-4)}) \implies y+3=\cfrac{2}{3}(x+4) \\\\\\ y+3=\cfrac{2}{3}x+\cfrac{8}{3}\implies y=\cfrac{2}{3}x+\cfrac{8}{3}-3\implies y=\cfrac{2}{3}x-\cfrac{1}{3}$

3 0

2 years ago

PLEASEEEE HELP ME WHAT IS THE SLOPE OF THE LINE AN Y INTERCEPT PLS HELP ME

nata0808 [166]

D................................l

8 0

2 years ago

hillary is cycling across montana taking a 845 mile course . the first week she covered.320 miles. the second week she traveled

Blababa [14]

Answer:

175 miles

Step-by-step explanation:

Hillary has travelled

320 + 350 = 670 miles

in the first two weeks.

Therefore, Hillary starts with 670 miles and needs to add a certain number of miles "x" to get 845 in total.

670 + x = 845

And if we subtract 670 from both sides:

x = 845 - 670 = 175

175 miles

3 0

2 years ago

Plssss help If you help me I will thank you plsssss I’m New I need help pls Merry Christmas

marta [7]

Answer:

no solution

Step-by-step explanation:

no solution x=0

4 0

2 years ago

Show two different ways to factor -12x+24-18y

klasskru [66]

I’m not sure what they are asking for. One way is -6(2x -4 + 3y)

That’s really the only way to factor it

5 0

3 years ago