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3 years ago

Y= 1/3 x+2 y = -x-2 Write solution as an ordered pair

Mathematics

1 answer:

Yuri [45]3 years ago

7 0

Answer: (-3,1)

Step-by-step explanation:

inputting the two equations into a graphing calculator tells us that these two lines intersect at the point (-3,1)

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3 years ago

The figure shows how a leaf meets the stem of a flower to form two angles.

MrRissso [65]

Answer:

Step-by-step explanation:

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3 years ago

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2abc-3ab if a=2, b=-3, c=2

Elden [556K]

So a=2 since a is next to the first 2 it would be 2x2 which equals 4 next it’s B and B= -3 so -3x4 equals -12 and then c also equals 2 so it would be -12x2 and that equals -24. Moving on to the next part as I said a=2 so it would be 3x2 and that equals 6 next it’s B again so 6x -3 equals -18 so now take -24 and -18 and subtract them and you would get -6. Sorry if this answer is wrong I did my best...hope it helped.

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3 years ago

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Airida [17]

Answer:

-6

Step-by-step explanation:

it's asking when x is equal to -5 what is y equal to?

there's only one point when x=-5 and it's -6

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3 years ago

For 0 ≤ ϴ < 2π, how many solutions are there to tan(StartFraction theta Over 2 EndFraction) = sin(ϴ)? Note: Do not include va

Black_prince [1.1K]

Answer:

3 solutions:

$\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}}$

Step-by-step explanation:

So, first of all, we need to figure the angles that cannot be included in our answers out. The only function in the equation that isn't defined for some angles is $tan(\frac{\theta}{2})$ so let's focus on that part of the equation first.

We know that:

$tan(\frac{\theta}{2})=\frac{sin(\frac{\theta}{2})}{cos(\frac{\theta}{2})}$

therefore:

$cos(\frac{\theta}{2})\neq0$

so we need to find the angles that will make the cos function equal to zero. So we get:

$cos(\frac{\theta}{2})=0$

$\frac{\theta}{2}=cos^{-1}(0)$

$\frac{\theta}{2}=\frac{\pi}{2}+\pi n$

$\theta=\pi+2\pi n$

we can now start plugging values in for n:

$\theta=\pi+2\pi (0)=\pi$

if we plugged any value greater than 0, we would end up with an angle that is greater than $2\pi$ so, that's the only angle we cannot include in our answer set, so: