Answer:
Discriminant is positive.
Step-by-step explanation:
From the given graph,
Vertex of the parabola = (-3, -2)
y - intercept of the parabola = (0, 1)
Vertex form of a parabola opening upwards is,
y = a(x- h)² + k
Here (h, k) is the vertex.
By substituting the values of the vertex in this equation.
y = a(x + 2)² - 3
Since this parabola passes through (0, 1)
1 = a(0 + 2)² - 3
a = 
a = 1
So the equation of the parabola will be
y = (x + 2)² - 3
y = x² + 4x + 4 - 3
y = x² + 4x + 1
Here a = 1, b = 4 and c = 1 (comparing with standard quadratic equation y = ax² + bx + c)
Discriminant of a quadratic equation is represented by,
(b² - 4ac)
Therefore, the value of discriminant = (4)² - 4(1)(1)
= 16 - 4
= 12
Therefore, discriminant of the given graph is positive.
Answer: K > 0.13 :)
Step-by-step explanation: If you count the gaps it gives you thirteen and your going up so thats your answer :)
Answer:
∴ The the surface area of the wall is
.
Step-by-step explanation:
Given that,
The length of rectangular wall is
.
The width of rectangular wall is 
The length of doorway is 
The width of doorway is 
and, we have to find the surface area of rectangular wall.
Now,
The length of rectangular wall is
.
The width of rectangular wall is 
∴ Total surface area of a rectangular wall 


Total surface area of a rectangular wall is
.
Again, The length of doorway is 
The width of doorway is 
∴Total surface area of doorway 


Total surface area of doorway is
.
∴The remaining surface area of a rectangular wall is

∴ The the surface area of the wall is
.
Ans given below
42-6=-2d
36=-2d
d=-18
Answer:
9
count all the whole squares