Where is the line...................
Answer:
Step-by-step explanation:
If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?
f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15
f(1) = 2 - 15 + 22 + 15
f(1)= 24.
No the result is not zero. So x - 1 is not a factor.
However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.
The numbers that do make this zero are -0.5, 3, 5
Which mean that the factors are (2x+1)(x-3)(x - 5)
Answer:
55.5 square feet
Step-by-step explanation:
so the dog house consists of 4 walls, two roof sections, and two triangle bits to make the roof pointy (I'm sure they have a name but I don't know what it is lol) Of the walls there would be 2 of the longer walls and 2 of the shorther ones. Knowing this we just have to add together the area of each part to find the total surface area.
So starting with the walls:
two of them are 4 feet by 2 feet.
The area of a rectangle is just length x width
so those two would have an area of 8 ft^2
and the other two are 3 feet by 2 feet so they would have an area of 6 ft^2
the roof sections are also rectangles with dimensions of 4 feet by 2.5 feet
4x2.5=10 so each side of the roof has a surface area of 10 ft^2
now the triangle parts have a base of 3 feet and a height of 2.5 feet
the formula for area of a triangle is base x height / 2
3x2.5=7.5
7.5/2= 3.75
now we add them together
8+8+6+6+10+10+3.75+3.75=55.5
so the total surface area is 55.5 square ft
