Answer:
See below.
Step-by-step explanation:
The graph of the quadratic equation is a parabola or u shaped graph. It has a vertex at (-1,-3) since h=-1 and k=-3 in the vertex form. It is also facing down since the leading coefficient is negative.
Answer:
Step-by-step explanation:
The given equation 5y'' + 3y' - 2y =0 can be written as
Solving for complementary function we have Roots of 
as follows
Thus the complementary function becomes
y=
where
are calculated roots
thus solution becomes
Now to solve for the coefficients we use the given boundary conditions
hence the solution becomes
Hello Alondra,
To solve this problem, you have to write a proportion using the ratios formed by the similar triangles.
Or proportion can be:
x/(x+2) = 10/15
Cross multiply to solve it:
10x + 20 = 15x
20 = 5x
4 = x
The value of x is 4.
I hope this helps,
MrEQ
9514 1404 393
Answer:
66 cm²
Step-by-step explanation:
The area of the polygon is the sum of the areas of the triangle and the rectangle it sits on. The dimensions of the triangle can be found by examining the top/bottom dimensions shown and the left/right dimensions shown.
The width (base) of the triangle is the difference between the lengths of the bottom and top horizontal lines: (12 -9) cm = 3 cm.
The height of the triangle is the difference between the lengths of the left and right sides of the figure: (9 -5) cm = 4 cm.
The dimensions of the rectangle are shown a the bottom and the left sides of the figure.
triangle area = 1/2bh = 1/2(3 cm)(4 cm) = 6 cm²
rectangle area = LW = (12 cm)(5 cm) = 60 cm²
Total polygon area = 6 cm² + 60 cm² = 66 cm²
