Please help me with this math problem:)
2 answers:
You might be interested in
First we'll multiply the second equation by -2
Now let's add the new equation and the first one.
We found y's value. We'll plug it in one of the equations to find x's value.
Solution ;
(9, -6)
Answer:
a = √11 and b = 6
Step-by-step explanation:
Refer to attached picture for reference
for an right triangle with angle θ
we are given
cos θ = 5/6 = length of adjacent side / length of hypotenuse
hence
adjacent length = 5 units
hypotenuse length = 6 units
the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:
hypotenuse ² = adjacent ² + opposite² (rearrange)
opposite ² = hypotenuse ² - adjacent ²
opposite ² = 6² - 5²
opposite = √ (6²-5²) = √11
sin θ = opposite length / hypotenuse (substitute values above)
sin θ = √11 / 6
hence a = √11 and b = 6
I only did the first part but maybe later I will solve the rest too. If there are any errors but tell me so I can update the pic.
