Question

Can somebody check a few answers for me? Please I really need to get these right. :/

Answer 1

Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x − 4.

I said:
y = 3x − 7

Answer 2

@Hero @amistre64 @e.mccormick ?

Answer 3

Well, know how to test these?

Answer 4

well I actually graphed them, if that's what you mean?

Answer 5

No, an easy way to mathematical test is to plug it in and solve to see if it is true.

(3, 2) and y = 3x − 7

2 = 3(3) - 7

If you solve that and it is true, then you did it right because your equations do have the same slope, which means hey are parallel.

Answer 6

i'm not quite sure I get it. I thought since they both have 3 (or 3/1) as their slop, they'd be parallel?

Answer 7

2 = 3(3) - 7
2 = 9 - 7
2 = 2

Because 2 does equal 2, this is true. I put in the x and y values and got a true result, therefore the equation works. That, plus the slope part, means the answer is correct.

What if I had (2,4) as the point, but the equation was the same:

4 = 3(3) - 7
4 = 9 - 7
4 = 2

That is false. That is what would happen if you had done it wrong.

This is why a mathematical check is useful.

Answer 8

ohhh. ok. that makes sense. thank you

Answer 9

would you mind looking at more?

Answer 10

Sure. If they are the same sort of thing, you can try doing the checks and if you have any issues I can help. If it is something different, I can show you how to work or check it.

Answer 11

they're different, though a few are somewhat similar

Answer 12

The question was: What is the length of the portion BC of the cloth?
Options:
8 cos 35°

sin 35 degrees by 8

cos 35 degrees by 8

8 sin 35°

Answer 13

I said 8 sin 35degrees

Answer 14

So you used the definition of sine and a little algebra, right?

Answer 15

Well, i didn't really use the formal process I should have. That was the only option that seemed to fit

Answer 16

^ B and C were meant to be sin 35 degrees/ 8 and cos 35 degrees/ 8

Answer 17

Hehe. OK. Know your trig ratios? Heard of SOH CAH TOA? What that is short for is this:

\(\sin = \dfrac{opp}{hyp}\)

\(\cos = \dfrac{adj}{hyp}\)

\(\tan = \dfrac{opp}{adj}\)

If you use that, then you see that:

\(\sin 35^\circ = \dfrac{opp}{8}\)

If you solve for opp, or the opposite side (which is BC) then you get the answer you selected.

Answer 18

ok. awesome :)

Answer 19

If you can remember SOH CAH TOA and the meanings of opposite, adjacent, and hypotenuse you can set up any trig ratio very quickly.

Answer 20

ok. I should probably have just worked that one out normally. But I don't feel all too comfortable with things outside sin/cos/tan. It wasn't explained well to me. Which is revelavant in this one> The next question was: What is the distance, in feet, that the box has to travel to move from point A to point C?
Options:
12 by sec 65 degrees

12 cosec 65° (what I chose)

12 sin 65°

12 by cot 65 degrees

I don't feel all to confortable with things outside sin/cos/tan

Answer 21

OK, so of opposite, adjacent, and hypotenuse, what is side AC?