<span>2x + y = 3
a: 5
x - 2y = -1
a: 2
If equation one is multiplied by 2 and then the equations are added, the result is _____.
3x = 2 this is the answer
3x = 5
5x = 5</span>
Answer:
13 quarters must be tails.
Step-by-step explanation:
Number of quarters = 40% of 50 coins
Number of quarters = 40/100 * 50 = 20 coins which are quarters.
35% of these 20 quarters on heads. We can proceed in 2 ways from here.
We can actually find the number of quarters that are on heads.
35/100 * 20 = 7 quarters are showing heads.
Since the other quarters must be tails 20 - 7 = 13 quarters must be tails.
The other way to do it is to realize that if 35% of the coins are heads, 65% of the coins must be tails 20 * 65/100 = 13 which is a bit more direct.
Answer:
answer is 10...hope it helps uh
X = 4(cosθ - cos²θ) = 4cosθ - 4cos²<span>θ
</span>dx/dθ = -4sinθ + 8sinθcosθ = -4sinθ(1 - 2cos<span>θ)
dy/d</span>θ = 4(cosθ - cos²θ + sin²θ) = 4(cos<span>θ - 1)
</span>∴dy/dx = 4(cosθ - 1)/-4sinθ(1 - 2cosθ) = 1-cosθ/(sinθ - 2sinθcosθ<span>)
Now, we're finding a horizontal tangent, which is when dy/dx = 0 (horizontal tangent).
1-cos</span>θ/(sinθ - 2sinθcosθ) = 0
1-cosθ = 0
cosθ = 1
θ = 0, 360 in the interval [0, 360].
At θ = 0, x = 0, y = 0
Only points in the open interval [-2π, 2π] are at (0, 0), unless I made a mistake somewhere.