Triangle a″b″c″ is formed by a reflection over x = 1 and dilation by a scale factor of 2 from the origin. which equation shows the correct relationship between δabc and δa″b″c″?
coordinate plane with triangle abc at a negative 3 comma 3, b 1 comma negative 3, and c negative 3 comma negative 3
segment ab over segment a double prime b double prime = the square root of 13 over 2 times the square root of 13
segment c double prime a double prime over segment ca = the square root of 16 over 2 times the square root of 16
segment ab = zero point two segment a double prime b double prime
segment c double prime a double prime = zero point two segment ca

segment AB over segment A double prime B double prime = the square root of 13 over 2 times the square root of 13

Step-by-step explanation:

Triangle ABC has vertices at points A(-3,3), B(1,-3) and C(-3,-3).

1. Reflection over x = 1 maps vertices A, B and C as follows

2. Dilation by a scale factor of 2 from the origin has the rule

(x,y)→(2x,2y)

So,

See attached diagram for details

Note that

so

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

inverse operation of addition