For this case, the first thing we must do is define variables.
We have then:
x: Maggie's age
y: Age of Maggie's brother
We write the system of equations that models the problem.
We have then:
We solve the system of equations.
For this, we use substitution:
From here, we clear the value of x:
Answer:
Maggie is 9 years old
Let's divide the shaded region into two areas:
area 1: x = 0 ---> x = 2
ares 2: x = 2 ---> x = 4
In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.
Area 1:
Area 2:
Therefore, the area of the shaded portion of the graph is
A = A1 + A2 = 5.34
Step-by-step explanation:
Given that , Consuelo's living room is in the shape of rectangle and has an area of 360 square feet and the width of the living room is its length
Let ,the length of the living room is = x ft
Then width = ft
Therefore the area of the living room =
According to problem,
⇔
⇔
⇔
⇔
⇔
Therefore the length of the living room = 24 ft