Answer:
y = - 
x + 
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 4y = 5x + 3 into this form by dividing the 3 terms by 4
y = 
x + 
← in slope- intercept form
with slope m =
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 (3, - 2) into the partial equation
- 2 = - 
+ c ⇒ c = - 2 + =
y = - x + ← equation of perpendicular line
-2/3 / -15
Find the reciprocal of -15 and multiply:
-2/3 * -1/15
Multiply the numerators and denominators together:
2/45
The horizontal distance from A to the point = 3/10 * 14 = 4.2, so the c coordinate of the point is -3+ 4.2
= 1.2.
Vertical distance = 3/10 * 12 = 3.6
So the y coordinate = -5+ 3.6
= -1.4.
Answer is (1.2, -1.4)
Let x = total sales of baked goods remember 20% = .20 as a decimal
so the equation would be .20x = $600
divide both sides by .20
.20x/.20 = $600/.20
x = $3000 the total sales of baked goods
CHECK: 20% times $3000 = .20 times $3000 = $600
First we have to assume that each quarter touched each other. Hence the area of the table not covered by the coins (A) is equal to the total area of the table (At) minus the total area of the coins (Ac). Coins are circle, so
and r =24.26mm. The area of one coin is then 1848.98mm^2. Hence the equation is A = At - xAc where x is the number of coins.
