Answer:
The ratio of the length of the banner to the length of the sign = 54/17
So....since they are similiar figures, the widths will have the same ratio
And the ratio of the area of the banner to the area of the sign will be the square of this ratio
Step-by-step explanation:
[54/17]^2 = 2916/289
Answer:
3.14×5(2)×6=471.24
Step-by-step explanation:
you have to take square of 5
the greatest common factor is 2
Root of ( 20^2 - 16^2 ) = 12
Answer:
see explanation
Step-by-step explanation:
the equation of parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier.
here (h, k ) = (3, 1 ) , then
y = a(x - 3)² + 1
to find a substitute any other point on the graph into the equation.
using (0, 7 )
7 = a(0 - 3)² + 1 ( subtract 1 from both sides )
6 = a(- 3)² = 9a ( divide both sides by 9 )
=
= a
y =
(x - 3)² + 1 ← in vertex form
------------------------------------------------------
the equation of a parabola in factored form is
y = a(x - a)(x - b)
where a, b are the zeros and a is a multiplier
here zeros are - 1 and 3 , the factors are
(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)
y = a(x + 1)(x - 3)
to find a substitute any other point that lies on the graph into the equation.
using (0, - 3 )
- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
1 = a
y = (x + 1)(x - 3) ← in factored form