Answer:
25
Step-by-step explanation:
The number that needs to be added is the square of half the x-coefficient:
(-10/2)^2 = 25
_____
Adding that gives ...
(x -5)^2 = 32
x = 5 ± 4√2
The product of 3p and q-3 would be put in to equation form like this: 3p(q-3)
To find your answer. You have to distribute the 3p to by individually multiplying it by q and -3
It should now look like this:

So your answer is:
Equation :
This parabola is facing downwards and highest point of the parabola is it's vertex.
Highest point is (-2,2)
so the vertex is (-2,2)
The graph is passing through (-1,0)
Equation in vertex form is


Substitute back in Equation

the graph has two x intercepts -1 and -3
that means (x+1) and (x+3) are the factors
multiply factors to get the equation in standard form

-2x^2-8x-6=0
<u>Your question: </u>given that sin(30)=1/2 and cos(30)=(sqrt3)/2, use trigonometric identities to find the value of cot(30)
The correct answer would be D 
Answer:
x= 4, -1
Step-by-step explanation:
-2x - 2 + x^2 + x + 180 - 2x - 2 = 180
add like terms and put in descending order
x^2 - 3x + 176 = 180
subtract 180 from both sides
x^2 - 3x - 4 = 0
factor out the equation
(x-4)(x+1)=0
solve for x
x-4=0 x+1=0
x=4 x=-1