Answer:ur mising 346789
Step-by-step explanation:
Completing the square
alrighty
minus 31 both sides
x²+12x=-31
take 1/2 of the linear coefient and square it
12 is the linear coefient
12/2=6, (6)²=36
add that to both sides
x²+12x+36=36-31
factor perfect square trinomial
(x+6)²=5
square root both sides, remember to take positive and negative root
x+6=+/-√5
so what you want to write is
x+6=√5 and
x+6=-√5
the solutions
minus 6 both sides
x=-6+√5 and -6-√5
Answer:
The equation that represents the line that passes through (-6,7) and (-3,6) is: y = -1/3x + 5
Step-by-step explanation:
The equation of line for point=slope form is
y-y₁ = m(x-x₁)
Finding Slope m:
m= y₂-y₁/x₂-x₁
here y₂= 6,y₁= 7,x₂= -3,x₁= -6
m = 6-7/-3-(-6)
m = -1/-3+6
m = -1/3
The slope m = -1/3 and considering point (-6,7) the equation is:
y-y₁ = m(x-x₁)
y-7 = (-1/3)(x-(-6))
y-7 = -1/3(x+6)
y-7 = -1/3x -2
y = -1/3x-2+7
y = -1/3x + 5
So, the equation that represents the line that passes through (-6,7) and (-3,6) is: y = -1/3x + 5
The formula

means that from statement q implies statement p.
When statements p="two linear functions have different coefficients of x" and q="the graphs of two functions intersect at exactly one point", then the statement

have a form: "If the graphs of two functions intersect at exactly one point, then two linear functions have different coefficients of x."
Answer:
B
Step-by-step explanation: