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jek_recluse [69]
3 years ago
6

100 POINTS ANSWER FAST

Mathematics
2 answers:
ololo11 [35]3 years ago
6 0
The point slope equations is y-y1=m(x-x1) ok now that we know that lets plug in the points first, you do this by plugging the x in the x and y in the y also you have to plug in the slope in m when you do this would look like y+3=4(x+1) 

Hope this helped
AURORKA [14]3 years ago
5 0

Answer:

D, y+3=4(x+1)

Step-by-step explanation:

Here is the graph:

you can see it passes through points (–1, –3)

and has a slope of 4

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How do you find a vector that is orthogonal to 5i + 12j ?
Rashid [163]
\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{a}{b}\\\\
slope=\cfrac{a}{{{ b}}}\qquad negative\implies  -\cfrac{a}{{{ b}}}\qquad reciprocal\implies - \cfrac{{{ b}}}{a}\\\\
-------------------------------\\\\

\bf \boxed{5i+12j}\implies 
\begin{array}{rllll}
\ \textless \ 5&,&12\ \textgreater \ \\
x&&y
\end{array}\quad slope=\cfrac{y}{x}\implies \cfrac{12}{5}
\\\\\\
slope=\cfrac{12}{{{ 5}}}\qquad negative\implies  -\cfrac{12}{{{ 5}}}\qquad reciprocal\implies - \cfrac{{{ 5}}}{12}
\\\\\\
\ \textless \ 12, -5\ \textgreater \ \ or\ \ \textless \ -12,5\ \textgreater \ \implies \boxed{12i-5j\ or\ -12i+5j}

if we were to place <5, 12> in standard position, so it'd be originating from 0,0, then the rise is 12 and the run is 5.

so any other vector that has a negative reciprocal slope to it, will then be perpendicular or "orthogonal" to it.

so... for example a parallel to <-12, 5> is say hmmm < -144, 60>, if you simplify that fraction, you'd end up with <-12, 5>, since all we did was multiply both coordinates by 12.

or using a unit vector for those above, then

\bf \textit{unit vector}\qquad \cfrac{\ \textless \ a,b\ \textgreater \ }{||\ \textless \ a,b\ \textgreater \ ||}\implies \cfrac{\ \textless \ a,b\ \textgreater \ }{\sqrt{a^2+b^2}}\implies \cfrac{a}{\sqrt{a^2+b^2}},\cfrac{b}{\sqrt{a^2+b^2}}&#10;\\\\\\&#10;\cfrac{12,-5}{\sqrt{12^2+5^2}}\implies \cfrac{12,-5}{13}\implies \boxed{\cfrac{12}{13}\ ,\ \cfrac{-5}{13}}&#10;\\\\\\&#10;\cfrac{-12,5}{\sqrt{12^2+5^2}}\implies \cfrac{-12,5}{13}\implies \boxed{\cfrac{-12}{13}\ ,\ \cfrac{5}{13}}
4 0
3 years ago
What is the measure of the central angle of a circle with radius 15 ft that intercepts a 10 ft arc?
olga2289 [7]
  • L=10ft
  • R=15ft
  • We have to find theta

\Large{\underline{\sf Solution:-}}

\\ \sf\dashrightarrow L=\dfrac{\Theta}{180}\times \pi r

\\ \sf\dashrightarrow 10=\dfrac{\Theta}{180}\times 3.14\times 15

\\ \sf\dashrightarrow 10=\dfrac{\Theta}{180}\times 47.1

\\ \sf\dashrightarrow \Theta=\dfrac{10(180)}{47.1}

\\ \sf\dashrightarrow \Theta=\dfrac{1800}{47.1}

\\ \sf\dashrightarrow \Theta=38.2°

5 0
2 years ago
The ratio of the side lengths triangle is 7:24:29 and it’s perimeter is 180 m. What are the side lengths of the triangle? Select
kakasveta [241]
Answer: Only 21:72:87


Explanation: We know that the side lengths are not simply 7, 24, and 29, as the sum of these is only 60.


Therefore, we need to find the scale factor they were multiplied by to have side lengths with a sum of 180.

We can use 7x+24x+29x=180.

This becomes 60x=180 and the scale factor is x=3.

7*3=21, 24*3=72, and 29*3=87.
6 0
3 years ago
What’s a number that multiplies to four but adds to three
d1i1m1o1n [39]

Answer:

The answer is clearly 4 and 1. If we change the sign on 1 (making it -1), then you have the answer to your original question. 4 and -1 multiply to -4 and add up to 3.

3 0
2 years ago
Read 2 more answers
(05.03 MC)
Jlenok [28]
Look it up on khan academy
3 0
3 years ago
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