Answer:
y = - 
x + 8
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 )
Rearrange 3x - y = 9 into this form by subtracting 3x from both sides
- y = - 3x + 9 ( divide all terms by - 1 )
y = 3x - 9 ← in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - , thus
y = - x + c ← is the partial equation
To find c substitute (6, 6) into the partial equation
6 = - 2 + c ⇒ c = 6 + 2 = 8
y = - x + 8 ← equation of perpendicular line
Answer:
Step-by-step explanation:
Given the system of two equations:
Multiply the first equation and the second equation by 60 to get rid of fractions:
Now multiply the first equation by 4 and the second equation by 5:
Subtract them:
Substitute it into the first equation:
The solution is
<span>Melvina's age is = x, Bettina's age is = 3x
the equation is
x + 20 = 3x - 20
subtract 3x from both sides
-(3x) + x +20 = 3x - 20 - (3x)
-2x + 20 = -20
subtract 20 from both sides
-2x + 20 - (20) = -20 - (20)
-2x = - 40
divide both sides by -2
(-2x)/-2 = (-40)/-2
x = 20
Melvinas age is 20 and Bettinas age is 60</span>
Answer:
5.888045975
Step-by-step explanation:
44
-3x + 2 > 14.
-2 -2 -2
42
-3x > 12
-------------------------------------
-3 -3 -3 (dividing with inequalities by a negative flips the inequality symbol)
-14
x < -4
