Answer:
1. 3³
2. (-5)⁴
3. 3¹⁰
4. 4⁰
Step-by-step explanation:
When multiplying exponents with the same base, you add the exponents. When dividing exponents with the same base, you subtract the exponents. When raising a number with an exponent to another power, multiply the exponents.
1.
2.
3.
4.
Given:
The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).
To find:
The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.
Solution:
If a figure reflected across the line x=a, then
The triangle after a reflection over x = -3. So, the rule of reflection is
The vertices of triangle after reflection are
Similarly,
And,
Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).
