(1, 5)
x y
This is your answer.
Answer:
9x over 2 plus 60 if that's an option
The equation of the line is given by
y = mx + c
where m is the gradient of the line
c is where the line cuts the y-axis
x & y represent coordinates on the line.
The gradient m can be obtained as follows:
m = (5 - 8) / (5 - - 10) = (-3) / (15) = - 1/5
To obtain c, we use any known coordinate on the line and substitute it as well as the gradient in the general equation for the line.
Taking coordinates (5,5)
5 = (- 1/5)(5) + c
5 = - 1 + c
c = 6
Hence, the equation for this line is
y = -x/5 + 6
As all the males could have a driving license then the maximum is 70.
50 of the applicants are female and could all have a driving license. If there are 80 in total who have a driving license then the minimum number of males having a license is 30
Step-by-step explanation:
S = ∫ 2π y ds
ds = √(1 + (dx/dy)²) dy
ds = √(1 + (8y)²) dy
ds = √(1 + 64y²) dy
S = ∫₁² 2π y √(1 + 64y²) dy
S = π/64 ∫₁² 128y √(1 + 64y²) dy
S = π/64 [⅔ (1 + 64y²)^(³/₂)] |₁²
S = π/96 (1 + 64y²)^(³/₂) |₁²
S = π/96 (1 + 256)^(³/₂) − π/96 (1 + 64)^(³/₂)
S = π/96 (257√257) − π/96 (65√65)
S = π/96 (257√257 − 65√65)