Solve the system by either elimination or substitution

1 answer:

5 0

The correct answer is A: x=2 and y=-3. Either method would work, but for example, let's use elimination. If you multiply the second equation by 5, you get: 10x +5y = 5. When you add both equations, you can then cross out both y terms. You are left with one equation that reads: 13x=26. Solving for x gives you 2. You can substitute 2 in for x in either equation and you will receive -3 for your y value.

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Θ is in Quadrant III and cos^2 0= 1/4

pychu [463]

I think you mean to say $\cos^2\theta=\dfrac14$ . If $\theta$ is in the third quadrant, then $\sin\theta$ and $\cos\theta$ . Recall that

$\sin^2\theta+\cos^2\theta=1\implies\sin\theta=\pm\sqrt{1-\cos^2\theta}$

We expect $\sin\theta$ to be negative, so we take the negative root. We end up with

$\sin\theta=-\sqrt{1-\dfrac14}=-\dfrac{\sqrt3}2$

We also know to expect $\cos\theta$ , so

$\cos\theta=\pm\sqrt{\dfrac14}\implies\cos\theta=-\dfrac12$

By definition, we have

$\cot\theta=\dfrac{\cos\theta}{\sin\theta}$

and so

$\cot\theta=\dfrac{-\frac12}{-\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

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grin007 [14]

Answer:

I think it b

Step-by-step explanation:

I had to ADD 4.2+3

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2 years ago

It costs Edgar $2.65 one way to ride the bus to work. He uses the bus to go to and from work fourdays per week. He buys a bottle

Viktor [21]

Answer:

Ambitious

In this case, you have to multiply the price of the one way journey ($2.65) by 8 (as this is the number of individual journeys made in one week. It's gives you $21.20. As he has 1 bottle of water at $1.45 each day for four days, you have to multiply these together, giving you $5.80 You then have to add together $21.20 and $5.80, giving you $27. Therefore, it costs Edgar $27 a week

Step-by-step explanation:

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Read 2 more answers

Two lines meet at a point that is also a vertex of an angle; the measurement of ∠AOF is 134°.

Stells [14]

Answer:

x and y are the same. they are both 99

Step-by-step explanation:

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david counts the quarters in his change jar. He has 24 more quarters than his brother Rob. if r is the number of quarters Rob ha

denis-greek [22]

Rob has R quarters, and David has R + 24 or 24 more than rob, so together they have 2R+24

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3 years ago