Answer:
(x-5;y+6)
Step-by-step explanation:
1) the difference between the coordinates before translation and after the translation is*: Δx=-5; Δy=+6, then
2) the rule of the translation is: (x-5;y+6).
* for example, the red dot. The difference for X is: -2-3=-5. The difference for Y is: 2--4=+6.
Answer:
I. 1,000 dollars
II. 1,061.84 dollars
III. 1,127.50 dollars
Step-by-step explanation:
Formula for continuous compound interest:
Plug in the values for one year:
A = 1000(2.71828)^(0.06)(1)
A = 1,061.84 dollars
Plug in the values for two years:
A = 1000(2.71828)^(0.06)(2)
A = 1,127.50 dollars
Applying the law of sines, the measurement indicated are:
7. AB = 24.1 cm
8. BC = 28.0 in.
<h3>What is the Law of Sines?</h3>
Law of sines is: sin A/a = sin B/b = sin C/c.
7. AB (c) = ?
BC (a) = 22 cm
A = 180 - 138 - 22 = 20°
C = 22°
Apply the law of sines:
sin 22/AB = sin 20/22
AB = (sin 22 × 22)/sin 20
AB = 24.1 cm
8. BC (a) = ?
A = 58°
AC (b) = 33 in.
B = 180 - 58 - 33 = 89°
Apply the law of sines:
sin 58/BC = sin 89/33
BC = (sin 58 × 33)/sin 89
BC = 28.0 in.
Learn more about the law of sines on:
brainly.com/question/2807639
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Y--7=-2/3(x-1)
y+7=-2/3(x-1)