Answer:
(2, - 1 )
Step-by-step explanation:
3x - y = 7 → (1)
2x + 3y -= 1 → (2)
multiplying ( 1) by 3 and adding to (2) will eliminate y
9x - 3y = 21 → (30
add (2) and (3) to eliminate y
11x = 22 (divide both sides by 2 )
x = 2
substitute x = 2 into either of the 2 equations and solve for y
substituting into (2)
2(2) + 3y = 1
4 + 3y = 1 (subtract 4 from both sides )
3y = - 3 ( divide both sides by 3 )
y = - 1
solution = (2, - 1 )
Answer:
288
Step-by-step explanation:
48/2 (9+3)
(48/2) * 12
24 * 12
288
A table top would be a good representation of a plain because it is a flat surface, and isn't a 3D object, if that makes sense. A box wouldn't be a plane because it has 6 different sides but a table only has one side and one plane. hope this helps :)
Remember: SOH-CAH-TOA
Sine (of an angle!) = opposite / hypotenuse
We're looking at angle M here, to find the sine of M. Looking from angle M, the side that is opposite is NO and the hypotenuse is MO.
sin(M) = NO / MO = NO / 13
We do not know NO, but we can use the Pythagorean theorem to find NO because this is a right triangle.
Pythagorean theorem: a^2 + b^2 = c^2
---a and b are legs of the triangle, c is the hypotenuse
12^2 + b^2 = 13^2
144 + b^2 = 169
b^2 = 25
b = 5
NO = 5
sin(M) = NO / MO = 5 / 13
Answer: sin(M) = 5 / 13
Hope this helps!
