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atroni [7]
3 years ago
8

Help me asap ....................

Mathematics
1 answer:
OLEGan [10]3 years ago
8 0

Answer:

x = 0 or x = -8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

17=x2+8x+17

Step 2: Subtract x^2+8x+17 from both sides.

17−(x2+8x+17)=x2+8x+17−(x2+8x+17)

−x2−8x=0

Step 3: Factor left side of the equation.

(−x)(x+8)=0

Step 4: Set factors equal to 0.

−x=0 or x+8=0

x=0 or x=−8

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Assume that r varies directly with s. If r = 21 when s = 6, find r when s = 12.
Illusion [34]
\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------

\bf r=ks\qquad \textit{we also know that }
\begin{cases}
r=21\\
s=6
\end{cases}\implies 21=k6\implies \cfrac{21}{6}=k
\\\\\\
\cfrac{7}{2}=k\qquad therefore\qquad \boxed{r=\cfrac{7}{2}s}
\\\\\\
\textit{if s = 12, what is \underline{r}?}\qquad r=\cfrac{7}{2}\cdot 12
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