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3 years ago

What is the slope of this line? 23 13 −13 −23

Mathematics

2 answers:

Verizon [17]3 years ago

6 0

Points

(0, -3) and (-3, -5)

(y - yo) = m.(x - xo)

(-5 - (-3)) = m.(-3 - 0)

(-5 + 3) = -3m

-2 = -3m

m = -2/-3

m = 2/3

tamaranim1 [39]3 years ago

5 0

Check the picture below.

$\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{9}-\underset{x_1}{(-3)}}}\implies \cfrac{3+5}{9+3}\implies \cfrac{8}{12}\implies \cfrac{2}{3}$

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$\large\begin{array}{l} \textsf{a) }\mathsf{(f\circ g)(x)}\\\\ =\mathsf{f\big[g(x)\big]}\\\\ =\mathsf{\big[g(x)\big]^2-6\cdot g(x)+2}\\\\ =\mathsf{\big[\sqrt{x}\big]^2-6\sqrt{x}+2}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(f\circ g)(x)=x-6\sqrt{x}+2} \end{array}}\qquad\checkmark \end{array}$

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$\large\textsf{I hope this helps. :-)}$

Tags: composite function composition evaluate algebra

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