Answer:
k can either be
12
or
−
12
.
Step-by-step explanation:
Consider the equation
0=x2+4x+4
. We can solve this by factoring as a perfect square trinomial, so
0=(x+2)2→x=−2 and−2
. Hence, there will be two identical solutions.
The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have
2 equal, or 1
distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:
k2−(4×1×36)=0
k2−144=0
(k+12)(k−12)=0
k=±12
Answer:
Distance = 13
Step-by-step explanation:
Using the distance formula, plug in the two points:
d = sqrt(9-(-3))^2+(-3-2)^2
d = sqrt(12)^2+(-5)^2
d = sqrt144+25
d = sqrt169
d = 13
Answer:
Option B is the correct choice.
Step-by-step explanation:
The graph is attached below.
We have to find the 
intercept meaning the value of the point on
when 
So we will put the value of zero 
instead of 
in our given equation.
So here we have solved it algebraically.
Putting
Multiplying 
both sides.
Adding 
both sides.
Dividing with 
both sides.
So the x-intercept of the given equation is which can be written as 
in terms of coordinates.
Option B is the correct choice.
Answer:
Third item in the list
Step-by-step explanation:
Third function: f(x) = x + 9. If we substitute 14 for x, we get f(14) = 14 + 9 = 23.
Answer:
C. X = 10.247
Step-by-step explanation:
X -4.21 = 6.047
just you will add 4.21 to both sides of the equation
X -4.21 + 4.21 = 6.047 + 4.21
X = 10.247
