Circumference is given by
Area is given by
figure out the radius of the circle, then use it to find area
Step-by-step explanation:
x = number of novels
y = number of dictionaries
x = 8y
88x + 208y = 13680
now, using the identity of the first equation in the second equation gives us
88(8y) + 208y = 13680
704y + 208y = 13680
912y = 13680
y = 13680/912 = 15
x = 8y = 8×15 = 120
so, there were 120 novels and 15 dictionaries sold.
Call the number : x
(1/3)x + 5 = x-6
=> (1/3)x + 5 - (x-6) = 0
=> (1/3)x + 5 - x + 6 = 0
Group (1/3)x with -x, 5 with 6
=> [(1/3)x - x] + (5+6) = 0
=> (-2/3)x + 11 = 0
=> (-2/3)x = -11
=> x = -11 : (-2/3) = 33/2.
Recheck : 1/3 x 33/2 + 5 = 33/6 + 5 = 63/6 = 21/2
33/2 - 21/2 = 12/2 = 6 (21/2 is 6 less than 33/2, satisfied.)
Answer: y = -2x + 1 or y +2x - 1 = 0
Step-by-step explanation
Recall, equation of a line passing through two coordinates is
y - y₁ = y₂ - y₁ ( x - x₁ )
₋₋₋₋₋₋₋₋ x
x₂ - x₁
note , (x₁ = -3), (x₂ = 1), (y₁ = 7), (y₂ = -1)
Now substitute for those values in the above equation
y - (7) = -1 - 7
------ X ( x - (-3)
1 - (-3)
y - 7 = -8/4 X ( x + 3 )
y - 7 = -2(x + 3 )
y - 7 = -2x - 6
The equation now
y = -2x -6 + 7
y = -2x + 1 or
y + 2x - 1 = 0.
