Worth 20
triangle abc has vertices a(–4,–2), b(–1,3), and c(5,0). triangle abc is rotated 180°counterclockwise about the origin to form triangle a′b′c′.
a. what are the coordinates of the vertices of triangle a′b′c′?
b. how could you determine the coordinates of the vertices of the image without using a graph?

Given vertices of the triangle ABC,

A(-4,-2), B(-1,3), and C(5,0),

A) By graphing,

The vertices of preimage of the vertices of A, B and C are shown as below.

B) Since, the rule of 180°counterclockwise about the origin,

If the triangle ABC is rotated 180°counterclockwise about the origin to form triangle A′B′C′.

The vertices of A'B'C' are,

A'(4,2), B'(1, -3), C'(-5,0)

26

step-by-step explanation:

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.