Question

in exercise 10, determine whether the figure has rotational symmetry. if so, describe any rotations that map the figure onto itself.
10.
check one yes____ no____
degrees of rotation______
in exercises 11 and 12, find the scale factor of the dilation. then tell whether the dilation is a reduction or an enlargement.
11.
12.
scale factor______
scale factor______
circle one: reduction enlargement
circle one: reduction enlargement
in exercises 13 and 14, given the polygon with the given vertices write the coordinates of its image after a dilation with scale factor k.

1. ( p(1,2) ), ( q(2,2) ), ( r(4,-2) ), ( s(-1,-3) ); ( k = 4 )

( p( ) )( q( ) )( r( ) )( s( ) )

1. ( a(-4,4) ), ( b(-2,6) ), ( c(6,-6) ), ( d(-2,-4) ); ( k=\frac{1}{2} )

( a( ) )( b( ) )( c( ) )( d( ) )

1. simplify ( (4 x^{3}-2 x^{2}+5)+(3 x^{3}+5 x - 9) ) write you simplified answer neatly in the blan

Explanation:

Step1: Combine like terms

$$\begin{align*} &(4x^{3}-2x^{2}+5)+(3x^{3}+5x - 9)\\ =&4x^{3}+3x^{3}-2x^{2}+5x+5 - 9 \end{align*}$$

Step2: Calculate coefficients

For \(x^{3}\) terms: \(4 + 3=7\); for constant terms: \(5-9=-4\)

The simplified expression is \(7x^{3}-2x^{2}+5x - 4\)

Answer:

\(7x^{3}-2x^{2}+5x - 4\)