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leonid [27]
3 years ago
9

. How are rotations represented as a function?

Mathematics
1 answer:
sergey [27]3 years ago
4 0

Answer:

These rotations above are represented as a function, that is, an application between to sets. ... So, basically, rotations as functions are transformations of a relation between to sets to another relation, where this last relation would be different, according to the rotation.

Step-by-step explanation:

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B is the midpoint of ac. Ab = x+9 and bc = 3x-7 find x and ac
natali 33 [55]

To solve this problem, we need to know 2 relationships:

<h2>1. AC = AB + BC</h2>

The distance of AC is the sum of AB and BC.

AC = AB + BC

We know this since the distance of going from A to C (AC) is the same as going from A to B (AB), then B to C (BC).

<h2>2. AB = BC</h2>

The distance of AB is the same as AC.

AB = BC

We know this since B is in the middle of AC, so the distance from B to A (BA) is the same as the distance from B to C (BC).

You can see the attached image (at the bottom) for a visualization of this.

<h2>Putting them together</h2>

Since we know the values of AB and BC...

AB = x+9\\BC = 3x-7

...we can put these values into our 2nd equation and solve for x:

AB = BC\\x + 9 = 3x -7

Add 7 to both sides:

x + 16 = 3x

Subtract x from both sides:

16 = 2x

Divide both sides by 2:

8 = x\\x = 8

Knowing x, we can find the distance of AC using our first equation.

AC = AB + BC

Let's put in the values of AB and BC:

AC = (x+9) + (3x-7)

Before we put in x = 8, we can simplify this:

AC = (x+9) + (3x-7)\\AC = x + 9 + 3x -7\\AC = x + 3x + 9 -7\\AC = 4x + 9 - 7\\AC = 4x+2

We group x and 3x and add those together. Then we subtract 7 from 9.

With this equation, we can put in x = 8:

AC = 4x +2\\AC = 4*8 + 2

Since 4 * 8 = 32:

AC = 4 * 8 + 2\\AC = 32 + 2\\AC = 34

Finally, we have found both x and AC.

<h2>Answer</h2>

x = 8

AC = 34

7 0
3 years ago
[(17-9) x (3x2)] / 2
andrezito [222]

Answer:

-18.5

Step-by-step explanation:

6 0
3 years ago
HELP PLEASE!! WILL CROWN BRAINLIEST.....
Ivenika [448]

Answer:  i am not sure but thanks for the points have a good day

Step-by-step explanation:

5 0
2 years ago
I need help please.
makkiz [27]

Answer:

see explanation

Step-by-step explanation:

Using the rules of radicals/ exponents

a^{m} × a^{n} = a^{(m+n)}

a^{\frac{m}{n} } ⇔ \sqrt[n]{a^{m} }

Simplifying each term

7\sqrt{x^{3} } = 7x^{\frac{3}{2} }

x\sqrt{9x}

= x × \sqrt{9} × \sqrt{x}

= x × 3 × x^{\frac{1}{2} }

= 3 × x^{(1+\frac{1}{2}) }

= 3x^{\frac{3}{2} }

Subtracting the 2 simplified like terms, that is

7x^{\frac{3}{2} } - 3x^{\frac{3}{2} }

= 4x^{\frac{3}{2} } ← return to radical form

= 4\sqrt{x^{3} }

8 0
2 years ago
A shipping company charge $15 to ship a package and 5% the shipping charge for the shirts on the package what was a total cost t
Advocard [28]
15.75 out of my math
3 0
3 years ago
Read 2 more answers
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