The length can be found using the Pythagorean Theorem...
c^2=a^2+b^2 and in this case:
d^2=(dx^2)+(dy^2)
d^2=(3-7)^2+(12-9)^2
d^2=-4^2+3^2
d^2=16+9
d^2=25
d=5
So the length of AB=5 units.
https://answers.yahoo.com/question/index?qid=20180411132938AApZYZz
Let me help you, but first I will explain the formula used to calculate monthly compound interest.
The formula used to calculate compound monthly compound interest is
a=p(1+r/n)^nt
P Represents the principal
R Represents the rate (in decimal)
N is basically 12 months
T Represents the time (in years)
Let's plug the numbers in.
First statement
"His bank has offered him a loan at 13% interest for 36 months"
12000(1+.13/12)^(12)(3)
12000(1+.13/12)^(12)(3) = $17,686.64
Second statement
"12% interest for 60 months"
Plug in the numbers into the formula.
12000(1+.12/12)^(12)(5)
12000(1+.12/12)^(12)(5) = 21,000.36
<u>Answer</u>
The answer would be "13% interest for 36 months" as it is much lower compared to the other statement.
Answer:
y = 5x - 21
Step-by-step explanation:
Since we already know the slope, all we need to do is plug the values of x and y into the equation.
y = 5x + b
-1 = 5(4) + b
-1 = 20 + b
-21 = b
The equation is y = 5x - 21.
A rotation is a transformation that preserves figure shape, figure sizes, angles and lengths.
Therefore,
- option A is false, because rotation preserves sizes;
- option B is false, because rotation doesn't change the figure size;
- option C is true, because rotation preserves figure angles;
- option D is true, because rotation preserves lenghts of segments.
Answer: option C and D.
