So for this question (for finding x and y) you will want to use elimination. To do this you will need to bring the x and y to the same side (I put them on the left):
-3/2x+y=6
x+y=0
Now subtract the y on the bottom from the top to isolate x:
3/2x=6
Now the easiest way to bring over the 3/2 to isolate the x fully is to convert it to decimal (1.5) and divide it by 6 (because when multiplication on one side of problem the only way to bring it over is to divide):
x=6/1.5
which simplifies to:
x=4
Hope this helps!
Step-by-step explanation:
![\sqrt[8]{ {x}^{2} {y}^{6} } \\ \\ = ( {x}^{2} {y}^{6} )^{ \frac{1}{8} } \\ \\ = {x}^{2 \times \frac{1}{8}} {y}^{6\times \frac{1}{8}} \\ \\ = x^{\frac{1}{4}} {y}^{3\times \frac{1}{4}} \\ \\ = x^{\frac{1}{4}} {y}^{\frac{3}{4}} \\ \\ = \sqrt[4]{x {y}^{3} } \\](https://tex.z-dn.net/?f=%20%5Csqrt%5B8%5D%7B%20%7Bx%7D%5E%7B2%7D%20%20%7By%7D%5E%7B6%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%28%20%7Bx%7D%5E%7B2%7D%20%7By%7D%5E%7B6%7D%20%20%29%5E%7B%20%5Cfrac%7B1%7D%7B8%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%7Bx%7D%5E%7B2%20%5Ctimes%20%5Cfrac%7B1%7D%7B8%7D%7D%20%7By%7D%5E%7B6%5Ctimes%20%5Cfrac%7B1%7D%7B8%7D%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%20%7By%7D%5E%7B3%5Ctimes%20%5Cfrac%7B1%7D%7B4%7D%7D%20%20%5C%5C%20%20%5C%5C%20%20%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%20%7By%7D%5E%7B%5Cfrac%7B3%7D%7B4%7D%7D%20%20%5C%5C%20%20%5C%5C%20%20%20%3D%20%20%5Csqrt%5B4%5D%7Bx%20%7By%7D%5E%7B3%7D%20%7D%20%20%5C%5C%20)
Answer:
He's right it's 0.8 I got the answer right thanks a lot dude
X = -1/15y+7/3
I hope this helps! :>
Answer:
1. y = 14.718
2. ??
3. y = 39.794°
Step-by-step explanation:
<em>HINT the side we already know and the side we are trying to find, we use the first letters of their names and the phrase "SOHCAHTOA" to decide which function:
</em>
SOH...
Sine: sin(θ) = Opposite / Hypotenuse
...CAH...
Cosine: cos(θ) = Adjacent / Hypotenuse
...TOA
Tangent: tan(θ) = Opposite / Adjacent
1. Sine: sin(θ) = Opposite / Hypotenuse
sin(42°) = y / 22
so on your calculator enter 42 then sin = 0.669
0.669 = y/22 multiply both sides by 22 to get y
y = 14.718
2. is there any other information??
3. The two sides we know are Opposite 40 and Adjacent 48.
SOHCAHTOA tells us we must use Tangent.
Calculate Opposite/Adjacent = 40/48 = 0.833
Find the angle from your calculator using tan-1
Tan y° = opposite/adjacent = 40/48 = 0.833
tan-1 of 0.833 = 39.794°
