Question

3.1 practice
review & refresh
find the values of the ratios (red to blue) of the perimeters and areas of the similar figures.
1.
2.
evaluate the expression.

1. ( 4 + 3 ^ { 2 } )
2. ( 5 ( 2 ) ^ { 2 } - 6 )
3. ( 11 + ( - 7 ) ^ { 2 } - 9 )

Explanation:

Step1: Evaluate \(3^{2}\)

\(3^{2}=3\times3 = 9\)

Step2: Add 4 and the result of \(3^{2}\)

\(4 + 9=13\)

Step1: Evaluate \(2^{2}\)

\(2^{2}=2\times2 = 4\)

Step2: Multiply 5 and the result of \(2^{2}\)

\(5\times4 = 20\)

Step3: Subtract 6 from the result of step2

\(20-6 = 14\)

Step1: Evaluate \((-7)^{2}\)

\((-7)^{2}=(-7)\times(-7)=49\)

Step2: Add 11 and the result of \((-7)^{2}\)

\(11 + 49=60\)

Step3: Subtract 9 from the result of step2

\(60-9 = 51\)

Answer:

1. \(4 + 3^{2}=13\)
2. \(5(2)^{2}-6 = 14\)
3. \(11+(-7)^{2}-9 = 51\)