Please help with these two questions! Picture attached :)

Question

anonymous · Answer

attachment

mertsj · Answer

17.  Have you learned that the products of the chord segments are equal?

anonymous · Answer

Yes, it's just finding x that I'm having trouble with.

mertsj · Answer

What equation did you write?

mertsj · Answer

I will help you solve it.

anonymous · Answer

I haven't written an equation yet. I really have a hard time with equations, I'm not very good with them :/

mertsj · Answer

Do you see the two chords in your picture?

anonymous · Answer

2x+3 and 4 are a chord, and 10 and x are the other chords, right?

mertsj · Answer

Yes.  So far so good.  Do you know what a product is?

anonymous · Answer

I don't think I do

mertsj · Answer

A product is the answer to a multiplication problem.  4 times 3 equals 12.  12 is the product.

mertsj · Answer

What is the product of 2x+3 and 4?

anonymous · Answer

That's what I'm having trouble with, I can't figure that out :/

mertsj · Answer

4(2x+3)
have you heard of the distributive property?

anonymous · Answer

It's been a while, that's why I'm pretty rusty with this stuff!

mertsj · Answer

Distribute the 4 to the 2x and to the 3
What is 4 times 2x?

anonymous · Answer

8

mertsj · Answer

4 times 2x is 8x.   What is 4 times 3?

anonymous · Answer

12

mertsj · Answer

So 4(2x+3)=8x+12

mertsj · Answer

Now the other chord.  the two parts are 10 and x.   what is 10 times x?

mertsj · Answer

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