Step-by-step explanation:
Follow the Pic given above
A rectangle has a vertices E(-4,8),F(2,8),G(2,-2) and H(-4,-2). The rectangle is dilated with the origin as the center of dilate
d so that G is located at (5,-5). Which algebraic representation represents this dilation.
A. (x,y)—> (x+3, y+3)
B. (x,y)—> ( 2/5x, 2/5y)
C. (x,y)—>(x -5, y -5)
D. (x,y)—> (2.5x, 2.5y)
A. (x,y)—> (x+3, y+3)
B. (x,y)—> ( 2/5x, 2/5y)
C. (x,y)—>(x -5, y -5)
D. (x,y)—> (2.5x, 2.5y)
2 answers:
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Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
=
[ 2a₁ + (n - 1)d ] , thus
=
[ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740