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Eduardwww [97]
3 years ago
8

Please helpppp the image is attached!!

Mathematics
1 answer:
Natali [406]3 years ago
5 0

Answer:

D

Step-by-step explanation:

1. x^2+12x+20=0

2. x^2+10x+2x+20=0

3. x(x+10)+2(x+10)=0

4. (x+10)x(x+2)=0

5. x+10=0

   x+2=0

x=-10,-2

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How do u graph this
iren [92.7K]
\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{  A}}sin({{  B}}x+{{  C}})+{{  D}}
\\\\
f(x)=&{{  A}}cos({{  B}}x+{{  C}})+{{  D}}\\\\
f(x)=&{{  A}}tan({{  B}}x+{{  C}})+{{  D}}
\end{array}
\\\\
-------------------\\\\

\bf \bullet \textit{ stretches or shrinks}\\
\left. \qquad   \right. \textit{horizontally by amplitude } |{{  A}}|\\\\
\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}\\
\left. \qquad   \right. \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{  B}}\textit{ is negative}\\
\left. \qquad   \right. \textit{reflection over the y-axis}

\bf \bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\left. \qquad  \right.  if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\left. \qquad  \right. if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{vertical shift by }{{  D}}\\
\left. \qquad  \right. if\ {{  D}}\textit{ is negative, downwards}\\\\
\left. \qquad  \right. if\ {{  D}}\textit{ is positive, upwards}\\\\

\bf \bullet \textit{function period or frequency}\\
\left. \qquad  \right. \frac{2\pi }{{{  B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\
\left. \qquad  \right. \frac{\pi }{{{  B}}}\ for\ tan(\theta),\ cot(\theta)

so hmmm   \bf \begin{array}{llcll}
f(x)=&0.5sin(x)&+2\\
&\uparrow &\uparrow \\
&A&D
\end{array}

instead of going up/down by 1unit, it goes up/down by half
and then it's shifted upwards by 2, so the midline will end up at y = 2

but basically the same sin(x) graph, just a bit shorter due to the smaller amplitude.
5 0
3 years ago
A car purchased for $20,000 depreciates annually at a rate of 8%. What will be the approximate value of the car in the 10th year
TiliK225 [7]

Answer:

$4000

Step-by-step explanation:

20000x0.08=1600

1600x10=16000

20000-16000=4000

6 0
3 years ago
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What is the coefficient of y in the expression 1•4+7y
Butoxors [25]

The coefficient is 7

4 0
3 years ago
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Starting with the fact that angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, use a two column pr
creativ13 [48]

Answer:

See proof below

Step-by-step explanation:

Two angles that are linear pair sums up to 180°

If angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, then;

1+a = 180....1

2+b= 180....2

Taking the sum of both equations

1+2+a+b = 360°... 3

Note that the sum of the adjacent angles will also be 180° since they also lie on the same straight line, hence;

1+2 = 180°...4.

Substitute 4 into 3

From 3;

1+2+a+b = 360°

(1+2)+(a+b) = 360°

180+(a+b) = 360

a+b = 360-180

a+b = 180

Since the sum of a and b is 180°, this shows that angles are supplementary since the sum of 2 supplementary angles is also 180°

Hence this shows that the consecutive interior angles a and bare supplementary.

5 0
3 years ago
If a = 6 b=5, then find the value (a+b)​
ikadub [295]

Step-by-step explanation:

Put the numbers as the value is given

So,

(6+5)= 11 Answer

4 0
3 years ago
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