Answer:
The equation of the perpendicular line is 2 x + y + 1 =0
Step-by-step explanation:
<u><em>Step(i) </em></u>:-
Given equation of the line 2y = x - 18
x - 2y - 18 =0
The equation of the perpendicular line to the given line
b x - ay +k=0
-2 x - y + k =0 this line is passing through the point ( 0 , -1)
⇒ 0 -(-1) + k=0
⇒ 1+k =0
⇒ k = -1
<u><em>Step(ii):-</em></u>
The equation of the line is perpendicular to the line
-2x - y - 1 =0
2 x + y + 1 =0
<u><em>Conclusion:-</em></u>
The equation of the perpendicular line to the given line 2 x + y + 1 =0
X = 12 * sin(67) = 11.05 (nearest hundredth)
Work:
You use the trigonometry ratios with the given angle (sin,cos,tan).
You know the length of the hypotenuse, but you need to find the opposite side length. Which trigonometric ratio relates the hypotenuse and the opposite side? That's the sine. So, you find the sin of 67. That will be equal to x/12. To get x by itself, you can multiply the whole thing by 12.
The probability of pulling an ace is 4 out of 32 or 4/32. There are four aces in a complete set of playing cards. If you need me to simplify, it would be 1 out of 8, or 1/8. I hope this is helpful!
Answer:
Step-by-step explanation:
If you let be the function, , then:
Answer: it's y squared by 2-81
Step-by-step explanation: