Answer:
3 points
Step-by-step explanation:
in a function, an x-value must have only one y-value correlated with it.
So, you would need to remove either (-3, 2) or (-3, 3)
And, you would need to remove either (2, -2) or (2, -4)
<em>And, </em>you would need to remove either (1, 4) or (1, -4)
So--you need to remove 3 points in total for this to be a function.
[a y-value can have multiple x-values. the two points at -4 are allowed, and do not need to be removed for both of them to be there]
Pythagorean theorem is
![a^{2} + b^{2} = c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%3D%20c%5E%7B2%7D)
and using that sin is opposite/hypotenuse, you can find the third side of the triangle.
![11^{2}+(adjacent)^{2} = 61^{2} \\ 121+ (adjacent)^{2} = 3721 \\ (adjacent)^{2}=3600 \\ adjacent = 60](https://tex.z-dn.net/?f=11%5E%7B2%7D%2B%28adjacent%29%5E%7B2%7D%20%3D%2061%5E%7B2%7D%20%5C%5C%20121%2B%20%28adjacent%29%5E%7B2%7D%20%3D%203721%20%5C%5C%20%28adjacent%29%5E%7B2%7D%3D3600%20%5C%5C%20adjacent%20%3D%2060)
now you know adjacent is 60, so cos=60/61
Use the co‐interior rule, corresponding angle rule, alternate angle rule and vertical opposite angle rule to solve the question above.
angle G5 = angle K1 reason : corresponding angles
angle J1 = angle H3 reason: vertical opposite angles
angle J2 = angle K4 reason: vertical opposite angles
angle G5 = angle K4 reason: co‐ interior angles
angle F6 = angle K4 reason: alternate angle
Answer:
2x + 12
Step-by-step explanation:
2(x + 6) =
2(x) + 2(6) =
2x + 12
Hope that helps!
Let <em>x</em> = 8.132132132...
Then 1000<em>x</em> = 8132.132132132...
Subtract <em>x</em> from 1000<em>x</em> to eliminate the fractional part:
1000<em>x</em> - <em>x</em> = 8132.132132132... - 8.132132132...
999<em>x</em> = 8132 - 8 = 8124
<em>x</em> = 8124/999 = 2708/333