Mathematics, 22.10.2020 05:01 JuanTorres7

PQRS is a parallelogram where PQ is represented by part of the line y=3x+2 and QR is represented by part of the line y=(-2/5)x-9. What is the slope of RS and what was the slope of PS?

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Answer from: Quest

Answers: the graph is translated down 1 unit and the domain and range of g(x) is the same as the domain and range of f(x).

Answer from: Quest

$x=-2$ or $x=-5$

step-by-step explanation:

we need to solve for 'x' the following equation: $\sqrt{(x+6)} - 4 = x$

we have that:

$\sqrt{(x+6)} - 4 = x$ ⇒ $(x+6) = (x+4)^{2}$

⇒ $x+6 = x^{2} + 8x + 16$ ⇒ $x^{2} + 7x + 10 = 0$

factorizing, we get that:

$x^{2} + 7x + 10 = 0$ ⇒ $(x+2)(x+5)=0$

then, the solutions are: $x=-2$ or $x=-5$

nothing extraneous has been found!

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