Answer:
see explanation
Step-by-step explanation:
The equation of a 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), hence
y = a(x - 3)² + 1
To find a substitute (- 2, - 4) into the equation
- 4 = a(- 2 - 3)² + 1
- 4 = 25a + 1 ( subtract 1 from both sides )
25a = - 5 ( divide both sides by 25 )
a = - 
= - 
y = - (x - 3)² + 1 ← in vertex form
12.56 cubic inches
Step-by-step explanation:
Volume of a cone= π r² h/3
3.14*2*2*3/3
3.14*4*3/3
12.56*3/3
=12.56 cubic inches
Supplementary angles add up to 180
Answer:
top: 21 < x < 33
bottom: 3 < x ≤ 8
Step-by-step explanation:
Do what? If you mean to find when it equals zero...
By inspection you can see that if x=0 or 2 the expression is equal to zero...
You multiply each term in the parentheses by the term outside the parentheses...like:
3x*3x+3x*6 which is equal to:
9x^2+18x If you meant to expand it....
9x(x+2) If you meant to factor it completely
