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3 years ago

What set of reflections would carry triangle ABC onto itslelf?

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

6 0

<h3>Answer: Choice A</h3>

y axis, x axis, y axis, x axis

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Explanation:

Reflecting an object over the y axis twice will have it end up in its starting position. The same can be said for the x axis as well. It doesn't matter that the x axis reflections aren't grouped next to each other, nor the y. So in a sense, two x axis reflections undo each other, so do the y axis reflections, and we end up with the same image as shown in the diagram.

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Please hurry! This is due soon.

kotykmax [81]

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

$f(x)=\frac{e^7^x+\sqrt{3}}{2}$

$y=\frac{e^7^x+\sqrt{3}}{2}$

$x=\frac{e^7^y+\sqrt{3}}{2}$

$2x=e^7^y+\sqrt{3}$

$e^7^y=2x-\sqrt{3}$

$7y=ln(2x-\sqrt{3})$

$y=\frac{ln(2x-\sqrt{3})}{7}$

Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.

$g(f(x))$

$g(\frac{e^7^x+\sqrt{3}}{2})$

$\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}$

2s cancel.

$\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}$

The natural log and e cancel.

$\frac{7x+\sqrt{3}-\sqrt{3}}{7}$

$\sqrt{3}$ s cancel.

$\frac{7x}{7}$

7s cancel.

$x$

Hope this helps!

3 0

2 years ago

For 2 sweaters for that price what percent discount is that?

Harrizon [31]

Answer: 75% off

Step-by-step explanation:

Your first sweater is the full 100% of the cost. The second it only 50 percent. If you add these to find out how many percent you will pay which is 150 for both. If you were to divide by 2 you get 75 percent off each sweater. The first sweater is $48 the second you multiply by .5 (as its 50 percent off ) and the cost is $24 dollars. 48 plus 24 is 72 then that divided by 2 is 36. Now 36$ is the price per sweater. 36/48 or 3/4 (which is 75%)

6 0

3 years ago

A dice is rolled. What is the probability that a 4 is rolled?

Mamont248 [21]

Answer:

I think 1/6

Step-by-step explanation:

There are 6 sides on a dice and only one 4. So then you have a 1/6 chance of rolling 4.

hope this help!

4 0

2 years ago

Read 2 more answers