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
The volume of a rectangular prism is given by
area of base × height
The rate at which the tank is being filled is 1 liter per minute which we need to convert
1 liter = 1 dm³
But 1 dm = 10 cm. Hence
1 liter = (10 cm)³ = 1000 cm³
The height h of the water is related to the volume by
volume = area of base × h
In one minute the volume increases by 1 liter or 1000 cm³ and the height increases by
h = volume / area of base = 1000 cm³ / 100 cm² = 10 cm <span>
</span>
5v -
=
Multiply both sides by 10
50v - 4 =
Divide the fraction
50v - 4 = 8 Add 4 to both sides
50v = 12 Divide both sides by 50
v =
SImplify the fraction
v = 
Hence her average pay per hour in 2017 is 13.73 pounds
Answer:
-12
Step-by-step explanation:
