Answer:
y = -3x + 14
Step-by-step explanation:
y=x/3−1
The slope of the perpendicular line is the reciprocal of the given equation.
Given is 1/3x. Perpendicular slope is m=-3x
Substitute the perpendicular slope and the point (4,2) in an equation
y = mx + b
2 = -3(4) + b
2 = -12 + b
Find b by isolating
b = 2+12
b = 14
Substitute the slope -3x and b=14 to find the equation of the line.
y = mx + b
y = -3x + 14
X=7.5 (d)
Since the 16 side is proportional to the 12 side, x is proportional to 10. 16/12 is 1.3333 so 10/1.333 is 7.5.
Answer:
-7/24 = r
Step-by-step explanation:
3/8 = r + 2/3
Subtract 2/3 from each side
3/8-2/3 = r + 2/3-2/3
3/8 - 2/3 = r
Get a common denominator or 24
3/8 *3/3 - 2/3 *8/8 =r
9/24 - 16/24 =r
-7/24 = r
1. m=1/2 b=4 y=1/2x+4
2. m=-1/2 b=-3 y=-1/2x-3
3. m=-3/2 b=-1 y=-3/2x-1
4. m=1/2 b=-1 y=1/2x-1
To find the dimensions you can just factor the equation...
x^2+4x-21
x^2-3x+7x-21
x(x-3)+7(x-3)
(x+7)(x-3) and this is equal to LW or WL
And note that x>3 for any possible solution.