Expli
The average number of students in Mathematics Club,
Language Club, Sports Club and Music Club is 180 per club.
The average number of students in Mathematics Club,
Language Club and Sports Club is 190 per club. The number of
students in Sports Club is 10 more than in Music Club. The
number of students in Language Club is 2/3 as many as in
Music Club. What is the number of students in Mathematics
Club?
_students in Mathematics Club

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form