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2 years ago

Tell whether (12, 43) is a solution of y = 3x + 7. yes no

Mathematics

1 answer:

Len [333]2 years ago

4 0

Answer:

yes

Step-by-step explanation:

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Show tan(???? − ????) = tan(????)−tan(????) / 1+tan(????) tan(????)<br> .

anyanavicka [17]

Answer:

See the proof below

Step-by-step explanation:

For this case we need to proof the following identity:

$tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}$

We need to begin with the definition of tangent:

$tan (x) =\frac{sin(x)}{cos(x)}$

So we can replace into our formula and we got:

$tan(x-y) = \frac{sin(x-y)}{cos(x-y)}$ (1)

We have the following identities useful for this case:

$sin(a-b) = sin(a) cos(b) - sin(b) cos(a)$

$cos(a-b) = cos(a) cos(b) + sin (a) sin(b)$

If we apply the identities into our equation (1) we got:

$tan(x-y) = \frac{sin(x) cos(y) - sin(y) cos(x)}{sin(x) sin(y) + cos(x) cos(y)}$ (2)

Now we can divide the numerator and denominato from expression (2) by $\frac{1}{cos(x) cos(y)}$ and we got this:

$tan(x-y) = \frac{\frac{sin(x) cos(y)}{cos(x) cos(y)} - \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{sin(x) sin(y)}{cos(x) cos(y)} +\frac{cos(x) cos(y)}{cos(x) cos(y)}}$

And simplifying we got:

$tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}$

And this identity is satisfied for all:

$(x-y) \neq \frac{\pi}{2} +n\pi$

8 0

2 years ago

A line extending from the upper left to the lower right has this type of slope.

stich3 [128]

Answer:

Well this would be a negative slope since it is going down.

8 0

3 years ago

X/8 -5 <-2 how do I solve this to make it true

sdas [7]

First you would add 5 to both sides
X/8=3
Then multiply both sides by 8
X=24

7 0

3 years ago

Please help me with this question. I will also give brainliest!

Alekssandra [29.7K]

What question? I don’t see no question

3 0

2 years ago

A road has a 16.7% grade.<br>Why might we want to warn drivers of a grade like this?

never [62]

The higher the percentage, the steeper the grade and the steeper the hill. This warning is issued so drivers are more careful (otherwise they would probably get into more accidents).

8 0

3 years ago