Which sequence of transformations map rectangle A to rectangle B ?

Mathematics

1 answer:

Vlada [557]2 years ago

8 0

Reflection over x axis the. Dilation

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Find the value of the variable and the measure of each labeled angle

ololo11 [35]

Since the two angles that you have are vertical angles, we know that vertical angles are congruent, so you have to set them to equal each other.

x+24=5x-36
-4x+24=-36
-4x=-60
x=15

We now have the value of x so now we plug it in for each expression of each angle.

x+24=?
15+24=39

5x-36=?
5(15)-36=?
75-36=39

8 0

3 years ago

Select the correct answer

Paladinen [302]

Answer:

a) We get $\mathbf{A+B=x^2-2x+1}$

So, Is the result of A+B is a polynomial:Yes

b) We get $\mathbf{A-B=6x^3-7x^2+2x-1}$

So, Is the result of A-B is a polynomial:Yes

c) We get $\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}$

So, Is the result of A.B is a polynomial:Yes

Step-by-step explanation:

We are giving the polynomial equations:

$A= 3x^2(x-1)\\B=-3x^3+4x^2-2x+1$

We need to find

a) A+B

$A+B=3x^2(x-1)+(-3x^3+4x^2-2x+1)\\A+B=3x^3-3x^2-3x^3+4x^2-2x+1\\A+B=3x^3-3x^3-3x^2+4x^2-2x+1\\A+B=x^2-2x+1\\$

So, we get $\mathbf{A+B=x^2-2x+1}$

So, Is the result of A+B is a polynomial:Yes

b) A-B

$A-B=3x^2(x-1)-(-3x^3+4x^2-2x+1)\\A-B=3x^3-3x^2+3x^3-4x^2+2x-1\\A-B=3x^3+3x^3-3x^2-4x^2+2x-1\\A-B=6x^3-7x^2+2x-1\\$

So, we get $\mathbf{A-B=6x^3-7x^2+2x-1}$

So, Is the result of A-B is a polynomial:Yes

c) A . B

$A.B=3x^3(-3x^3+4x^2-2x+1)-3x^2(-3x^3+4x^2-2x+1)\\A.B=9x^6+12x^5-6x^4+3x^3+9x^5-12x^4+6x^3-3x^2\\A.B=9x^6+12x^5+9x^5-6x^4-12x^4+3x^3+6x^3-3x^2\\A.B=9x^6+21x^5-18x^4+9x^3-3x^2$