Step-by-step explanation:
The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph. The graph is also symmetric with a vertical line drawn through the vertex, called the axis of symmetry.
Graph of a parabola showing where the x and y intercepts, vertex, and axis of symmetry are.
The
y
-intercept is the point at which the parabola crosses the
y
-axis. The
x
-intercepts are the points at which the parabola crosses the
x
-axis. If they exist, the
x
-intercepts represent the zeros, or roots, of the quadratic function, the values of
x
at which
y
=
0
.
Answer:
G = (2, -1)
Step-by-step explanation:
You want ...
FG/FH = 1/6 = (G -F)/(H -F)
H -F = 6(G -F)
H +5F = 6G . . . . . . add 6F, simplify
G = (H +5F)/6 . . . . .divide by 6
Substituting the given coordinates, we get ...
G = ((-8, 19) +5(4, -5))/6 = (-8+20, 19 -25)/6 = (12, -6)/6
G = (2, -1)
Answer:
x = 1/2 or .5
Step-by-step explanation:
JK = 7x + 2, KL = 5x + 4 and JL = 12
JK + KL = JL
Plug in the equations for the Lines
7x + 2 + 5x + 4 = 12
Combine like-terms
12x + 2 + 4 = 12
12x + 6 = 12
Subtract 6 from either side
12x + 6 = 12
-6 -6
12x = 6
Divide either side by 12
12x / 12 = 6/ 12
x= 1/2 or .5
Ball final speed = 209 km/hr = 58.12 m/s
Racket displacement = 0.1 meters
Using the equation of motion:
2as = v² - u²
Where the initial velocity u is 0
a = (58.12)²/2 * 0.1
a = 16,889.7 m/s²
Answer:
Step-by-step explanation:
