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Nastasia [14]
3 years ago
10

Triangle FGH is graphed on the coordinate plane below.

Mathematics
1 answer:
Elena L [17]3 years ago
4 0

Answer:

D

Step-by-step explanation:

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What is 2/3x+4=4/5x-2
Anuta_ua [19.1K]

Hey there!

Apply  fraction cross multiply: if a/b = c/d , then  a *d = b*c

2 ( 5x - 2 ) = ( 2x + 4 ) * 4

expand : 2 (5x-2 )  => 2*5x - 2*2 => 10x - 4

expand : ( 2x +4 ) * 4 =>  2x * 4 + 4*4 => 8x + 16

10x - 4 = 8x+16

add 4 to both sides:

10x-4+4 = 8x+16+4

simplify :

10x  = 8x + 20

subtract 8x from both sides:

10x -8x = 8x+20-8x

simplify:

2x = 20

Therefore:

x = 20 / 2

x = 10


Hope that helps!


8 0
3 years ago
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MariettaO [177]

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(\stackrel{x_1}{-3}~,~\stackrel{y_1}{1})\ \qquad \qquad \stackrel{slope}{m}\implies 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}{1}=\stackrel{m}{3}(x-\stackrel{x_1}{(-3)})\implies y-1=3(x+3)

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Step-by-step explanation:

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