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rodikova [14]
3 years ago
13

Factor completely. 5x2 - 45 5(x + 3)(x - 3) 5(x2 - 45) 5(x - 9)(x + 9) (5x + 9)(x - 5)

Mathematics
2 answers:
stellarik [79]3 years ago
4 0
5x^2 - 45 = 5(x^2 - 9) = 5(x^2 - 3^2) = 5(x - 3) (x + 3)


Answer:  5(x - 3) (x + 3)
Leona [35]3 years ago
4 0

Answer:

Option A is correct

5(x+3)(x-3)

Step-by-step explanation:

Using identity rule:

(x^2-a^2) = (x-a)(x+a)

To factor completely:

5x^2-45

Take 5 common out we have;

5(x^2-9)

Apply the identity rule

then;

5(x+3)(x-3)

Therefore, the complete factored of the given equation is: 5(x+3)(x-3)

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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.

3 0
3 years ago
Lines l and k are parallel to each other. mA=120 degrees. and mC=80 degrees. What is the number of degrees in mB??
djverab [1.8K]

Answer:

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Step-by-step explanation:

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What is the volume of the square pyramid with base edges 10 in. and height 9 in.?
klemol [59]
The answer is 300.

Hope this helps!
5 0
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15. A band expects to have 16 songs on their next
stepladder [879]

Answer:

There will be 13 songs in the final album.

Step-by-step explanation:

i) number of songs expected = 16 songs

ii) the band wrrites 62.5% more

   therefore the band writes 16 \times ( 1 + 0.625) = 16 \times 1.625 = 26 songs

iii) During the editing process 50% of the songs are removed.

   Therefore there will be in the final album = ( 1 - 0.5) \times 26  = 0.5 \times 26 = 13 songs.

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50 students were asked what they did last night.
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Answer:

A

Step-by-step explanation:

if they had watched tv or read a book it would've said so.

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