Mathematics: Question 6 (1 point) In the revolutionary army, muskets x cost 56 and bullets. y. cost 52. The army only have 5600 as a nation. What equation can we use to show how many muskets and bullets we can afford if we have to spend all of our money. ОООО 600x + 2y = 6 6x + 2y = 600 6 + 2 = xy 2x + 6y - 600 C

Question 6 (1 point) In the revolutionary army,

boo6931

09.03.2022

Both equation are symmetric about the x-axis.

Step-by-step explanation:

If (r,θ) can be replaced by (r,-θ),then the graph is symmetric about the x-axis.

If (r,θ) can be replaced by (-r,-θ),then the graph is symmetric about the y-axis.

If (r,θ) can be replaced by (-r,θ),then the graph is symmetric about the origin.

The given equation is

$r=9\cos(5\theta)$

Replace the value of (r,θ) by (r,-θ).

$r=9\cos(5(-\theta))=9\cos(5\theta)=r$

It is symmetric about the x-axis.

Replace the value of (r,θ) by (-r,-θ).

$-r=9\cos(5(-\theta))=9\cos(5\theta)=r\neq -r$

It is not symmetric about the y-axis.

Replace the value of (r,θ) by (-r,θ).

$-r=9\cos(5(\theta))=r\neq -r$

It is not symmetric about the origin.

Therefore the first equation is symmetric about the x-axis.

The given equation is

$r=2\cos(\theta)$

Replace the value of (r,θ) by (r,-θ).

$r=2\cos(-\theta)=2\cos(\theta)=r$

It is symmetric about the x-axis.

Replace the value of (r,θ) by (-r,-θ).

$-r=2\cos(-\theta)=2\cos(\theta)=r\neq -r$

It is not symmetric about the y-axis.

Replace the value of (r,θ) by (-r,θ).

$-r=2\cos(\theta)=r\neq -r$

It is not symmetric about the origin.

Therefore the second equation is symmetric about the x-axis.

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