Answer: See the graph attached.
Step-by-step explanation:
The standard form of a quadratic function is:
Where (h,k) is the vertex of the parabola.
If is negative, then the parabola opens down.
Then, for the function:
You can identify:
Then the vertex of the parabola is at (2,4)
Note that , therefore the parabola opens down.
Find the intersection with the x-axis. Substitute and solve for x:
Knowing that the vertex is at (2,4), the parabola opens down and it intersects the x-axis at x=0 and x=4, you can graph the function, as you observe in the figure attached.
Answer:
6.914miles (to 3 decimal places)
Step-by-step explanation:
Length of an arc = θ/360 *2πr
angle subtended by arc at the center of the earth = 6 minutes
1 minute =1/60 degree
6 minute= 6/60 degree =0.1°
θ=0.1°
radius of earth = 3960 miles
distance along the arc =
=6.9142857143miles
Answer:
Step-by-step explanation:
9x - 77 = 7x - 43
2x - 77 = -43
2x = 34
x = 17
9(17) - 77 = 153 - 77 = 76
7(17) - 43 = 119 - 43 = 76
z + 76 = 180
z= 104
The square root of 5 is 2.236
Answer:
Step-by-step explanation: