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3 years ago

Point C is located at (5, 7) and is reflected in the x-axis. What are the coordinates of point C'?

Mathematics

2 answers:

zvonat [6]3 years ago

3 0

I’m pretty sure it’s (5,-7)

Valentin [98]3 years ago

3 0

It would be (5,-7) because it refected over the x axis

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Find all 6 trigonometric ratios of the angle θ =7∏/ 6

aleksley [76]

Check the picture below, those are the x,y pairs or cosine, sine values pair.

$\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad
cos(\theta)=\cfrac{adjacent}{hypotenuse}\\\\
-------------------------------\\\\
cos\left( \frac{7\pi }{6} \right)=\cfrac{\stackrel{adjacent}{-\sqrt{3}}}{\stackrel{hypotenuse}{2}}\qquad \qquad sin\left( \frac{7\pi }{6} \right)=\cfrac{\stackrel{opposite}{1}}{\stackrel{hypotenuse}{2}}$

now, this is from the Unit Circle, and therefore the hypotenuse or radius wil be 1.

$\bf \begin{cases}
adjacent=&-\frac{\sqrt{3}}{2}\\
opposite=&\frac{1}{2}\\
hypotenuse=&1
\end{cases}\\\\
-------------------------------\\\\
sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad
cos(\theta)=\cfrac{adjacent}{hypotenuse}
\quad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
\\\\\\
% cotangent
cot(\theta)=\cfrac{adjacent}{opposite}
\qquad 
% cosecant
csc(\theta)=\cfrac{hypotenuse}{opposite}
\quad 
% secant
sec(\theta)=\cfrac{hypotenuse}{adjacent}$

so, just plug in those values... hmmm lemme do the tangent, so you see the division of two fractions.

$\bf tan\left( \frac{7\pi }{6} \right)=\cfrac{sin\left( \frac{7\pi }{6} \right)}{cos\left( \frac{7\pi }{6} \right)}\implies tan\left( \frac{7\pi }{6} \right)=\cfrac{\frac{1}{2}}{-\frac{\sqrt{3}}{2}}\implies tan\left( \frac{7\pi }{6} \right)=\cfrac{1}{2}\cdot \cfrac{2}{-\sqrt{3}}$

$\bf tan\left( \frac{7\pi }{6} \right)=\cfrac{1}{-\sqrt{3}}\impliedby \textit{now, let's \underline{rationalize} the denominator}
\\\\\\
\cfrac{1}{-\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{\sqrt{3}}{-(\sqrt{3})^2}\implies -\cfrac{\sqrt{3}}{3}$

7 0

3 years ago

Which is less -.72or -5/12

ira [324]

-.72 is less than -5/12 (-5/12 is -.42 which is closer to 0 so its a larger number)

4 0

4 years ago

Read 2 more answers

Each year, thousands of people visit Yellowstone national park. Audiotapes for visitors include interviews with early settlers a

Lisa [10]

Answer: p(x) = 8.7x - 1940

p(500) = $2410

p(1000) = $6760

p(5000) = $41,560

<u>Step-by-step explanation:</u>

p(x) = r(x) - c(x)

= 9.5x - (0.8x + 1940)

= 9.5x - 0.8x - 1940

= 8.7x - 1940

**********************************************************************

p(500) = 8.7(500) - 1940

= 4350 - 1940

= 2410

p(1000) = 8.7(1000) - 1940

= 8700 - 1940

= 6760

p(5000) = 8.7(5000) - 1940

= 43,500 - 1940

= 41,560

***************************************************************************

p(500) = r(500) - c(500)

= 9.5(500) - [0.8(500) + 1940]

= 4750 - (400 + 1940)

= 4750 - 2340

= 2410

p(1000) = r(1000) - c(1000)

= 9.5(1000) - [0.8(1000) + 1940]

= 9500 - (800 + 1940)

= 9500 - 2740

= 6760

p(5000) = r(5000) - c(5000)

= 9.5(5000) - [0.8(5000) + 1940]

= 47500 - (4000 + 1940)

= 47500 - 5940

= 41,560

3 0

4 years ago

Solve the equation. –4y + 8 = 4(2y – 2) + 4(8 - 2y)

ss7ja [257]

-Y+2=(2y-2)+(8-2y) @
Y=-4

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3 years ago

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during the lunch break a deli sold 36 large sodas if the ratio of large sodas sold to small sodas sold was 4 : 1 how many small

Charra [1.4K]

9 small sodas were sold. make a t chart it makes it easier

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4 years ago

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