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3 years ago

Identify the "c" value of the following quadratic equation given below. -8 = 2(x + 9)^2

1 answer:

3 0

$\bf -8=2(x+9)^2\implies -8=2(\stackrel{\mathbb{F~O~I~L}}{x^2+18x+81})\implies \cfrac{-8}{2}=x^2+18x+81 \\\\\\ -4=x^2+18x+81\implies 0=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+18}x\stackrel{\stackrel{c}{\downarrow }}{\boxed{+85}}$

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May someone please help me ASAP

Ivenika [448]

Answer:

84+n=342

Step-by-step explanation:

you would subtract 84 from 342 to find the width since it is perimeter.

3 0

3 years ago

HELP! Might have to zoom in

stealth61 [152]

To graph a line, first put the equation into slope-intercept form: $y=mx+b$ . So what can we do with our equation, $-3y=x-6$ , to get it into slope-intercept form? If we divide both sides of the equation by $-3$ , we get $y=-\dfrac{x}{3}+2$ . This gives us several pieces of information. Remember that the constant term, the one without a variable, tells us the y-coordinate of the y-intercept. The y-intercept is where the graph crosses the x-axis. So here, the constant term is 2; so the y-intercept is (0,2). That is one of the points. Now what does the slope represent? It is rise/run. Here it is -1/3. So from our y-intercept, (0,2), we can go down one unit and to the right 3 units. This new point is (3,1). From that point we can apply that again: go down 1 and right 3 units to get another point, (6,0).

6 0

3 years ago

A country's population in 1994 was 182 million. In 2002 it was 186 million. Estimate the population in 2004 using the exponentia

iogann1982 [59]

$\bf =ae^{kt}\qquad 
\begin{cases}
1994\impliedby \textit{year 0, starting point}\\
t=0\qquad P=182
\end{cases}\implies 182=ae^{k0}
\\\\\\
182=a\cdot e^0\implies 182=a\cdot 1\implies 182=a
\\\\\\
thus\qquad P=182e^{kt}\\\\
-------------------------------\\\\$

$\bf P=182e^{kt}\qquad 
\begin{cases}
2002\impliedby \textit{8 years later}\\
t=8\qquad P=186
\end{cases}\implies 186=182e^{k8}
\\\\\\
\cfrac{186}{182}=e^{8k}\implies ln\left( \frac{93}{91} \right)=ln(e^{8k})\implies ln\left( \frac{93}{91} \right)=8k
\\\\\\
\cfrac{ln\left( \frac{93}{91} \right)}{8}=k\implies 0.0027\approx k\implies \boxed{P=182e^{0.0027t}}$

what's the population in 2004? well, from 1994 to 2004 is 10 years later, so t = 10

plug that in, to get P for 2004

3 0

4 years ago

Lauren went to the store an bougth a red hat for $32 and a black hat for $8 how many times as much did the red hat cost as the b

Firlakuza [10]

Answer:

I think 4

Step-by-step explanation:

Red hat costs $32

black hat costs $8

32 (divided) by 8 is 4

3 0

3 years ago

Read 2 more answers

Please help please please please

tankabanditka [31]

Answer:

Step-by-step explanation:

the hypotenuse is equal to the square root of 2 times x in a 45 45 90 right triangle

the square root of 2 times the square root of 2 cancels out to equal 2 and 2 times 3 is 6 so the hypotenuse equals 6

7 0

3 years ago