Answer:
8/9
Step-by-step explanation:
divide both numerator and denominator by 3
therefore u get 8/9
Answer:
It is <em>a</em> solution, one of an infinite number of solutions.
Step-by-step explanation:
You can check to see if the given point is in the solution set:
4(-4) +5(4) = -16 +20 = 4 > -6 . . . . yes
-2(-4) +7(4) = 8 +28 = 36 > 20 . . . yes
The offered point satisfies both inequalities, so is in the solution set. It is not <em>the</em> solution, but is one of an infinite number of solutions.
Answer:
20 degrees
Step-by-step explanation:
every triangle had 3 angles that all add up to 180
the problem gives you two angles which are 120+40 which is 160
180-160 is 20 degrees which is whi it is the answer
Answer: sin u = -5/13 and cos v = -15/17
Step-by-step explanation:
The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.
So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),
==> adj of u = -12 therefore cos u = -12/13
Same argument for v: adj = -15,
opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17
The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)
I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.
Answer:
1 1/2
Step-by-step explanation:
1 1/2 + 3 1/2 = 5
6 1/2 - 5 =1 1/2
