Answer:
Step-by-step explanation:
Slope of two lines that are perpendicular to each other is 1.
If one line is , then its slope = 3 [by comparing to the linear equation y= mx+c, here m=3]
Let n be the slope of the required line, then
Equation of line with slope n and passers through (a,b) is
Equation of line with slope n= and passes through point ( 0,-4) :
Hence, Required equation :
The area of the given trapezoid is 60 square inches.
Step-by-step explanation:
Step 1:
The trapezoid's area is calculated by adding the base lengths and multiplying it with the trapezoid's height and
The trapezoid's area,
Here the sum of the base lengths is given as 15 inches.
Step 2:
In the given problem, the sum of the base lengths is 15 inches and the height of the trapezoid is 8 inches.
The trapezoid's area
So the area of the given trapezoid is 60 square inches.
Answer:
The population will be 240,116
Step-by-step explanation:
Exponential growth can be represented by the expression:
where:
is the population at time (t)
is the initial value of the population
"r" is the annual rate of growth (written in decimal form)
and "t" is the time in years.
Therefore in this situation, P(16) is what we want to find [the population after 16 years]
the initial population is 110,000
the rate of growth is 0.05 [decimal form of 5%]
and t is 16 years.
Replacing all these in the given functional form gives:
Answer:
Step-by-step explanation:
Given
Required
Solve
Open brackets
Answer:
P1 = N d^2 / ( K P2)
Step-by-step explanation:
Multiply both sides of the equation by d^2 to get
Nd^2 = K P1 P2 now divide both sides by K P2
N d^2 / (K P2) = P1