Hello :
x= r cos<span>θ
y= r sin</span><span>θ
r = 4 and </span>θ =<span> −3π/4
cos( </span> −3π/4 ) = cos( 3π/4 ) = cos ( π - <span>π/4) = - cos (</span><span>π/4)= - </span><span>√2/2
</span>sin( −3π/4 ) = - sin( 3π/4 ) = - sin ( π - π/4) = -sin (π/4)= - √2/2
x = - 2 √2
y = - 2 √2
Hope this helps good luck have fun
Answer:
Step-by-step explanation:
<u>Given </u>
- f(x) = x + 4 and
- g(x) = x + 7
<u>Find (g - f)(x):</u>
- (g – f)(x) =
- g(x) - f(x) =
- x + 7 - x - 4 =
- 3
Correct choice is A
Answer:
(-5,-14)
Step-by-step explanation:
To find the solution of the system of two equations

equate right sides of these two equations:

Rewrite terms with x into the left side and without x into the right side:
![4x-2x=-4-6\\ \\2x=-10\ [\text{divide by 2}]\\ \\x=-5](https://tex.z-dn.net/?f=4x-2x%3D-4-6%5C%5C%20%5C%5C2x%3D-10%5C%20%5B%5Ctext%7Bdivide%20by%202%7D%5D%5C%5C%20%5C%5Cx%3D-5)
Substitute x=-5 into the first equation:

The solution is (-5,-14)