Answer:
The area of the triangle with the given vertices is 10 square units
Step-by-step explanation:
x y
D 3 3
E 3 -1
F -2 -5
D 3 3
Area: A=Abs [(xd ye + xe yf + xf yd) - (yd xe + ye xf + yf xd)] /2
Absolute value: Abs
A = Abs { [(3)(-1)+(3)(-5)+(-2)(3)] - [(3)(3)+(-1)(-2)+(-5)(3)] } / 2
A = Abs [ (-3-15-6)-(9+2-15) ] / 2
A = Abs [ (-24)-(-4) ] / 2
A = Abs ( -24+4) / 2
A = Abs (-20) / 2
A = 20 / 2
A = 10 square units
Answer:
0, -10, -20, -30, -40, -50, ..., -10(n-1)
Step-by-step explanation:
An arithmetic sequence with a common difference of -10 just indicates that each term adds negative ten to the prior one, which is just subtracting ten. If you slap a random value as the beginning, zero in my example, then you spam subtract negative tens, you get an arithmetic sequence. The variable "n" is just the term number - 0 was n=1, -10 was n=2, -20 was n=3, etc.
Answer is A. 35/12
Step by step.
Quotient is division.
5/6 divided by 2/7 = x
To divide fractions, flip one and multiply.
5/6 x 7/2 = 35/12
So your answer is A. 35/12.
What is this question asking
Answer:
$13.68
Step-by-step explanation:
Assuming they rent for 1 year, the cost is broken down as follows:
Annual renting cost = 22% of 722.98 = 
Usage charge = 3.2% of 159.06 = 
Thus,
Total annual charge = Annual renting cost + Usage charge = 159.06 + 5.09 =164.15
Monthly rental charge would be 164.15 divided by 12 (12 months in 1 year):
dollars