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Mamont248 [21]
2 years ago
13

Simplify the expression

Mathematics
1 answer:
Travka [436]2 years ago
3 0

Answer:

Hi, ~I'm ~beinggreat78,~ and~ am~ here~ to~ help~ you.

The answer is D. Tanɵ. But why? Let's break it down. Tan pi + theta in the base equation should look like this...

\frac{tan\pi+ tanTheta}{1 - tan\pi * tanTheta}

We now have to simplify this expression. Let's do that.

tan(\pi) = \frac{sin\pi }{cos\pi } = \frac{0}{-1} = 0

Now that we have broken this problem into simpler fragments, we have to put it all together, The final equation should look like the one below!

tan(\pi + Theta) = \frac{0 + tanTheta}{1 - 0} = tanTheta

With that information, we have solved the problem, your final answer is tanɵ

What have we learned?

<h3>We learned some knowledge on what simplifying expressions with complex mathematical terms looks like.</h3>

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Hey there!

y = -2x + 19
y = x + 7

We gonna solve this system of equation by using the substitution method.

We wanna solve y = -2x + 19 for y

Let start by substitute -2x + 19 for y in y = x + 7

y = x + 7
-2x + 19 = x + 7

Subtract x from both sides

-2x + 19 - x = x + 7 - x

-3x + 19 = 7

Now subtract 19 on both sides

-3x + 19 - 19 = 7 - 19

-3x = -12

Then divide both sides by -3

-3x/-3 = -12/-3

x = 4

We have the value of x. Now we gonna use that same value to find the value for y.

We gonna do that by substitute 4 for x in y = -2x + 19

y = -2x + 19

y = -2(4) + 19

y = -8 + 19

y = 11

Thus,

The answer is: x = 4 and y = 11

Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!
6 0
3 years ago
The number m divided by 10 leaves a remainder of 1, and the number n divided by 10 leaves a remainder of 4. What will be the rem
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Answer:

1

Step-by-step explanation:

Add 4+1=5 then do 5÷5=1

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