Answer:

Step-by-step explanation:
The equation of a quadratic function in vertex form is given by:

Where (h,k) is the vertex.
It was given in the question that the vertex of the parabola is (-1,4).
When we substitute the vertex into the formula we get:

The parabola also passes through (4,19) hence it must satisfy its equation.



We divide both sides by 25 to get:

Hence the quadratic function is:

A y=3x because 3*1 is 3 and 3*2 is 6 and so on
Answer:
-45x^11
Step-by-step explanation:
-5x^6 * 9x^5
Multiply -5x and 9x together:
-45x
Remember when multiplying powers, you add them together, which leaves you with:
-45x^11
Answer:
The width of the window should be
and the height of the window should be 
Step-by-step explanation:
we know that
The circumference of a semicircle (window) is equal to

we have that


substitute and solve for r


so
the width of the window is equal to the diameter of the semicircle
so
The width of the window should be
and the height of the window should be 
Answer:
Step-by-step explanation:
let, the length is z
thus the ratio will be 5z : 4z
perimeter = 2 (a + b)
360 = 2 ( 5z + 4z )
180 = 9z
z = 20 cm
length = 100 cm and width = 80cm
area = length * width
area = 100*80
area = 8000cm²