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alexdok [17]
3 years ago
7

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

.

Mathematics
1 answer:
Elina [12.6K]3 years ago
3 0

Answer:

\boxed{3x-5y}

Step-by-step explanation:

=> 9x^2-25y^2

Let's factor it out

=> (3x^2)-(5y)^2

Using Formula a^2-b^2 = (a+b)(a-b)

=> (3x-5y)(3x+5y)

So, (3x-5y) is one of the factor of it!

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Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.<br> r = 9 sin 7θ
boyakko [2]

Answer:

The given function symmetric about the y-axis.

Step-by-step explanation:

The given function is

r=9\sin 7\theta                .... (1)

1. Symmetry about the x-axis: If the point (r, θ ) lies on the graph, then the point  (r,-θ ) or (-r, π - θ ) also lies on the graph.

2. Symmetry about the y-axis: If the point (r, θ ) lies on the graph, then the point (r,π - θ ) or (-r, -θ ) also lies on the graph.

3. Symmetry about the origin: If the point (r, θ ) lies on the graph, then the point (-r, θ ) or (r, π + θ ) also lies on the graph.

Put (r, -θ ) in the given function.

r=9\sin 7(-\theta)=-9\sin 7\theta=-r\neq r

Therefore it is not symmetric about x-axis.

Put (-r, -θ ) in the given function.

-r=9\sin 7(-\theta)=-9\sin 7\theta=-r

Therefore it is symmetric about y-axis.

Put (-r,θ ) in the given function.

-r=9\sin 7(\theta)=r\neq -r

Therefore it is not symmetric about the origin.

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3 years ago
SAT prep: Prove that 3x – 4 ( 5 – x ) is equivalent to 7x – 20
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3 years ago
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