vertex form is 
comlpete the square

group x terms

factor quadratic coefient

take 1/2 of linear coefient and square it
4/2=2, 2^2=4
add positive and negative of it inside the parentheasees

factor perfect squarer trinomial

expand

is vertex form
Answer:
6.27
Step-by-step explanation:
We are to obtain the standard deviation of the given values :
{24, 18, 31,25, 34}
The standard deviation = √(Σ(x - mean)²/ n)
The mean = (ΣX) /n
Using calculator to save computation time :
The standard deviation, s = 6.27 (2 decimal places)
Answer:
X=7
Step-by-step explanation:
8x-2y=48
8x-2(4)=48
8x-8=48
8(7)-8=48
56-8=48
Right triangles add up to 180 degrees and one of the angles is 90
Answer:
Radius = 12 cm
Step-by-step explanation:
Given:
Volume of the cylinder is,
cm³
Height of the cylinder,
cm
Let the radius be 
Using the formula for volume of cylinder,

Plug in 3165.12 for
, 7 for
and solve for
.

Therefore, the radius of the cylinder is nearly 12 cm.