(1,2)(4,-1)
slope = (y2 - y1) / (x2 - x1)
slope = (-1 - 2) / (4 - 1) = -3/3 = -1
the slope is -1......I am not sure of the mistake.....unless she just added (-1 - 2) and got 3 instead of -3.......or when dividing -3/3....she maybe forgot about the negative sign
First, we inspect what type of sequence is the order of the coordinates:
a2 = 1
a3 = 2
a4 = 4
Getting the difference,
a3 - a2 = 1
a4 - a3 = 2
The differences are not equal; hence, the sequence is not arithmetic.
Getting the ratio:
a3/a2 = 2
a4/a3 = 2
The common ratio is 2. Using the general form for a geometric series:
an = a1 r^(n-1)
If n = 2
1 = a1 (2)^(2-1)
a1 = 1/2
So,
an = (1/2) (2)^(n-1)
The answer is the first option.
You can multiply both sides by a number that will get rid of the denominators. For ex. you can multiply the first equation by 12 because 4 and 3 both go into 12 evenly. MAKE SURE YOU MULTIPLY THE OTHER SIDE BY 12 AS WELL! Therefore, 12(x/4) - 12(y/3) = 12(1), or 3x - 4y = 12
Step-by-step explanation:
the perimeter = 2 ×15 + (π×d)
= 30 + (3.14 ×10)
= 30 + 31.4
= 61.4
