Answer: the answer is rotated counterclockwise and 180 degrees about the origin! Trust me I did the test
Step-by-step explanation:
Answer:
Step-by-step explanation:
![\sin 2\theta = 2 \sin \theta \cos \theta\\\\\\~~~~~~~~=2\sqrt{1 -\cos^2 \theta} \cdot \cos \theta~~~~~~~~~~~;[\text{In quadrant I, all ratios are positive.}]\\\\\\~~~~~~~~=2 \sqrt{1- \left( \dfrac{12}{13} \right)^2} \cdot \left(\dfrac{12}{13} \right)\\\\\\~~~~~~~~=\left( \dfrac{24}{13} \right) \sqrt{1- \dfrac{144}{169}}\\\\\\~~~~~~~~=\dfrac{24}{13}\sqrt{\dfrac{25}{169}}\\\\\\~~~~~~~=\dfrac{24}{13} \times \dfrac{5}{13}\\\\\\~~~~~~=\dfrac{120}{169}](https://tex.z-dn.net/?f=%5Csin%202%5Ctheta%20%3D%202%20%5Csin%20%5Ctheta%20%5Ccos%20%5Ctheta%5C%5C%5C%5C%5C%5C~~~~~~~~%3D2%5Csqrt%7B1%20-%5Ccos%5E2%20%5Ctheta%7D%20%5Ccdot%20%5Ccos%20%5Ctheta~~~~~~~~~~~%3B%5B%5Ctext%7BIn%20quadrant%20I%2C%20all%20ratios%20are%20positive.%7D%5D%5C%5C%5C%5C%5C%5C~~~~~~~~%3D2%20%5Csqrt%7B1-%20%5Cleft%28%20%5Cdfrac%7B12%7D%7B13%7D%20%5Cright%29%5E2%7D%20%5Ccdot%20%5Cleft%28%5Cdfrac%7B12%7D%7B13%7D%20%5Cright%29%5C%5C%5C%5C%5C%5C~~~~~~~~%3D%5Cleft%28%20%5Cdfrac%7B24%7D%7B13%7D%20%5Cright%29%20%5Csqrt%7B1-%20%5Cdfrac%7B144%7D%7B169%7D%7D%5C%5C%5C%5C%5C%5C~~~~~~~~%3D%5Cdfrac%7B24%7D%7B13%7D%5Csqrt%7B%5Cdfrac%7B25%7D%7B169%7D%7D%5C%5C%5C%5C%5C%5C~~~~~~~%3D%5Cdfrac%7B24%7D%7B13%7D%20%5Ctimes%20%5Cdfrac%7B5%7D%7B13%7D%5C%5C%5C%5C%5C%5C~~~~~~%3D%5Cdfrac%7B120%7D%7B169%7D)
Answer:
x>−15
Step-by-step explanation:
−x+5<20
Step 1: Subtract 5 from both sides.
−x+5−5<20−5
−x<15
Step 2: Divide both sides by -1.
−x
−1
<
15
−1
x>−15
Answer:
x>−15
Do you need help with a specific one or all of them?
Answer:
The slope is 5
Step-by-step explanation:
This equation is in slope intercept form
y = mx +b
where m is the slope and b is the y intercept
y = 5x+4
where 5 is the slope and 4 is the y intercept
