Liza and abby plan to spread out blankets at a park for a picnic with some friends. the park is crowded, so they end up overlapping the blankets as is shown in the diagram.

44.5 ft²

Step-by-step explanation:

The area of pink blanket is considering A=5\times 5.7=28.5 and the area of a rectangle is A=l\times w .

Now we have area of the pink blanket which is 28.5.

The area of blue blanket - A=24=6 x 4

Area of a triangle: A= 1/2 x base x height and that is 1/2 x 4 x 4 which is 8. and that is the area of both blankets.

Now, pink blanket 28.5 x blue blanket 24 minus 8 is giving us the number that is referring to total area that is covered and that is 44.5 ft²

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.