Answer:
The answer to your question is below
Step-by-step explanation:
Data
function f(x) = x² + 2x - 8
-See the graph below
1) x-intercepts
We observe in the graph that there are no x-intercepts.
2) y-intercepts
We observe in the graph that the y-intercept is (0, 8). Point A
3) axis of symmetry
The axis of symmetry is the line that divides the parabola into two equal parts. This line is x = -1 (blue line)
4) The vertex is the lowest point of the parabola, this point is (-1, 7)
Point B in the graph.
Answer:
The coordinates of the point b are:
b(x₂, y₂) = (-5, -1)
Step-by-step explanation:
Given
As m is the midpoint, so
m(x, y) = m (-7, -2.5)
The other point a is given by
a(x₁, y₁) = a(-9, -4)
To determine
We need to determine the coordinates of the point b
= ?
Using the midpoint formula
substituting (x, y) = (-7, -2.5), (x₁, y₁) = (-9, -4)
Thus equvating,
Determining the x-coordinate of b
[x₂ + (-9)] / 2 = -7
x₂ + (-9) = -14
x₂ - 9 = -14
adding 9 to both sides
x₂ - 9 + 9 = -14 + 9
x₂ = -5
Determining the y-coordinate of b
[y₂ + (-4)] / 2 = -2.5
y₂ + (-4) = -2.5(2)
y₂ - 4 = -5
adding 4 to both sides
y₂ - 4 + 4 = -5 + 4
y₂ = -1
Therefore, the coordinates of the point b are:
b(x₂, y₂) = (-5, -1)
Answer:
26
Step-by-step explanation:
P-6=19; p=13
so you just plug the value of P into the problems P and solve the equation
(13) - 6 = 19
7=19
so...that's incorrect because 7 can't equal 19 making the problem No solution. if that's wrong then idk what they're teaching in math any more...
Let d = discriminant
d = b^2 - 4ac
Let a = 2, b = 4 and c = -9
We now plug and chug.
d = (4)^2 - 4(2)(-9)
d = 16 - 8(-9)
d = 16 + 72
d = 88
