Answer:
5x - 4y = 32
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x - 4y = 36 ( subtract 5x from both sides )
- 4y = - 5x + 36 ( divide all terms by - 4 )
y = 
x - 9 ← in slope- intercept form
with slope m =
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
To find c substitute (8, 2) into the partial equation
2 = 10 + c ⇒ c = 2 - 10 = - 8
y = x - 8 ← in slope- intercept form
Multiply through by 4
4y = 5x - 32 ( subtract 4y from both sides )
0 = 5x - 4y - 32 ( add 32 to both sides )
32 = 5x - 4y, that is
5x - 4y = 32 ← in standard form
Answer:
see explanation
Step-by-step explanation:
To find the y- intercept let x = 0 in the function
g(0) = 0 - 0 - 84 = - 84 ← y- intercept
To find the x- intercepts let y = 0, that is
x² - 5x - 84 = 0
To factor the quadratic
Consider the factors of the constant term (- 84) which sum to give the coefficient of the x- term
The factors are - 12 and + 7, since
- 12 × 7 = - 84 and - 12 + 7 = - 5, thus
(x - 12)(x + 7) = 0
Equate each factor to zero and solve for x
x - 12 = 0 ⇒ x = 12
x + 7 = 0 ⇒ x = - 7
x- intercepts are x = - 7 and x = 12
Answer:
a pool since it has a large volume
Step-by-step explanation:
2, because 12 divided by 6 equals 2 and dozen means 12.
