Question 13(Multiple Choice Worth 1 points) (02.01, 02.02 MC)

Kite ABCD is translated (x − 2, y + 3) and then rotated 90° about the origin in the counterclockwise direction. Complete the table to show the locations of A″, B″, C″, and D″ after both transformations.

Kite ABCD is shown. A is at negative 5, 1. B is at negative 2, 2. C is at negative 1, 1. D is at negative 2, 0.

A (−5, 1) A″ ?
B (−2, 2) B″ ?
C (−1, 1) C″ ?
D (−2, 0) D″ ?
A″ (4, 7), B″ (5, 4), C″ (4, 3), D″ (3, 4)
A″ (−3, −4), B″ (−4, −7), C″ (−5, −4), D″ (−4, −3)
A″ (−4, −7), B″ (−5, −4), C″ (−4, −3), D″ (−3, −4)
A″ (−7, 4), B″ (−4, 5), C″ (−3, 4), D″ (−4, 3)

C. A" (-4,-7), B" (-5,-4), C" (-4,-3), D" (-3,-4)

Step-by-step explanation:

To translate the kite subtract 2 from the x- coordinates and you should get (-7,4) (-4,5) (-3,4) (-4,3). Then you rotate the coordinates around counter clockwise and you get C. I hope this helps!

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.

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.