Answer:
a) (-1,4.5)
b)10.63 units
c)7/8
Step-by-step explanation:
a) To find this, we use the midpoint formula
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
(x1,y1) = (3,8)
(x2,y2) = (-5,1)
(x,y) = (3 -5)/2 , (8 + 1)/2 = (-1, 4.5)
b) To calculate the distance D between two points, we use the formula;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-3)^2 + (1-8)^2
D = √(-8)^2 + (-7)^2
D = √64 + 49
D = √113
D = 10.63 units
C) We use the slope formula here
m = (y2-y1)/(x2-x1)
m = (1-8)/(-5-3) = -7/-8 = 7/8
Answer:
5%
Step-by-step explanation:
5 + 48 + 22 + 8 + 12 + 5 = 100
5/75 = 0.066667 = 67%
Answer:
a)78
b)82.95
Step-by-step explanation:
To get the amount something is marked up you just need to multiply it by
1+0.(the%)
so in this case you multiply 60 by 1.30 to get 78
To get a discount you just have to do the same but without the +1
so 88*0.15
should get you the discount amount (13.2)
which you subtract from the original number (88-13.2 = 74.8)
now to get sales tax you would multiply the 79 by 0.05 which is 3.95
and add that to the total of 78.75 since sales tax applies AFTER coupons
1306.66
If we divide 3920 by three, we get 1306.66.
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.
