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Sladkaya [172]
3 years ago
7

If a polygon is rotated, which of the following characteristics of the polygon will always be the same? Select ALL that apply.

Mathematics
1 answer:
ASHA 777 [7]3 years ago
4 0

Answer:

When we have a rotation about a given point, the distance between the rotated point and the axis of rotation will remain constant, the only thing that changes is the coordinates of the point.

This tell us that the main measures of any rotated shape will not change.

Then the side lengths will remain constant, this implies that the area also remains constant, and this also means that the angle measures should remain the same.

And because the perimeter is equal to the sum of all the side lengths, the perimeter also remains the same.

The only thing that changes will be the coordinates of our polygon.

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1/(√2+√3)-√4 pls explain i dont understand
rusak2 [61]

Hey there!

1/(√2+√3)-√4

=−2−√2+√3

(Decimal: -1.682163)

3 0
2 years ago
F(x)= 2x^3 + 5x^2 -x -6 is divided by x+1
eimsori [14]

Step-by-step explanation:

substitute x= -1 into the equation to get the remainder

remainder= -2

the remainder is not a fraction

no, it is not a factor since its remainder is not zero

8 0
2 years ago
If f(x) = 3^(x + 4), find f(2).<br><br> A. 729<br> B. 243<br> C. 81<br> D. 18
Umnica [9.8K]

Answer:

f(2) = 729

Step-by-step explanation:

f(x) = 3^(x + 4)

Let x =2

f(2) = 3^(2 + 4)

f(2) = 3^(6)

f(2) = 729

4 0
3 years ago
Factor completely: −2x3 + 6x2
Pavel [41]
Correct answer is C.

-2x^3+6x^2  \\-2x^2x+2x^23 \\2x^2(-x+3) \\2x^2(-(x-3)) \\-2x^2(x-3)
4 0
4 years ago
Explain why the equation (x-6)^-13=12 has two solutions. Then solve the equation to find the solutions. Show your work.
Gala2k [10]

Answer:

x = 10 and x = (-2) are the solutions.

Step-by-step explanation:

In the given equation (x - 4)² - 28 = 8

we will first find the zero factors which will further decide the number of solutions.

(x -4)² - 28 = 8

(x - 4)² -28 - 8 = 8 - 8 (By subtracting 8 on both the sides of the equation)

(x - 4)² - 36 = 0

(x - 4)²- 6² = 0

(x - 4 - 6)(x - 4 + 6) = 0

(x - 10)(x + 2) = 0

Now the equation only two zero factors or two solutions.

x = 10 and x = -2

Answer is two solutions only x = 10 and x = (-2)

4 0
4 years ago
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