Which expression completes the statement to form a true equation? 2 + 4² = a 2^5 b 9² c 2³ + 9 d 3² + 9

D

Step-by-step explanation:

the value of the given expression is

2 + 4² = 2 + 16 = 18

Hence we require to find the expression which equals 18

A = 32 ≠ 18

B 9² = 81 ≠ 18

C 2³ + 9 = 8 + 9 = 17 ≠ 18

D 3² + 9 = 9 + 9 = 18 → D is the equivalent expression

2 + 4² = 2 + 16 = 18

A. 2⁵ = 2 · 2 · 2 · 2 · 2 = 32

B. 9² = 9 · 9 = 81

C. 2³ + 9 = 2 · 2 · 2 + 9 = 8 + 9 = 17

D. 3² + 9 = 3 · 3 + 9 = 9 + 9 = 18

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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