Answer:
The constant of proportionality would just be 12.9.
Step-by-step explanation:
This equation is already simplified enough to were the constant of proportionality is just the number attached to the x.
Answer: 5
Step-by-step explanation:
47+ 16x-4 +12x-3 =180
28x +40 =180
28x = 140
X= 5
Answer:
y - 1 = 2/3(x - 1).
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
y = 2/3x + 1/3 which gives the slope m = 2/3.
We can now find a point on the line by putting x = 1 say then find y:
y = 2/3(1) + 1/3 = 2/3 + 1/3 = 1 so the point is (1, 1).
(x1, y1) = (1, 1)
So the answer is ;
y - 1 = 2/3(x - 1).
Answer:

Step-by-step explanation:
we are given a square and rectangle.we want to figure out x which is the width of the rectangle. we are also given a condition i.e
- the area of the square equal to the area of the rectangle
therefore,

recall the formula of the area of square and rectangle so,

now assign variables
thus substitute:

simplify square:

divide both sides by 32:

and we're done!
Answer:
-4 / 9
Step-by-step explanation:
n - 2 = 10n + 4/2
n - 10n = 4/2 + 2
-9n = 4/2 + 4/2 ( taking LCM of 4/2 and 2)
-9n = 8/2
-9n = 4
n = 4 / -9
therefore n = -4 /9 ( since the minus sign doesn't make a difference whether placed at numerator or denominator) .