7.2 units is the distance between the two points (-5,3) and (1, -1).
The formula used for determining the distance between two points is shown below. In case this equation is used for finding the distance between the origin and a point, the value of x1 and y1 would just be equal to zero.
distance = 
The given points can be directly substituted for the formula.
Let: x2= 1, x1= -5, y2= -1, and y1= 3
distance = ![\sqrt{[1-(-5)]^{2} + (-1 -3)^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%5B1-%28-5%29%5D%5E%7B2%7D%20%2B%20%28-1%20-3%29%5E2%20%7D)
distance = 
distance = 
or 7.21 units
When rounded to the nearest tenth, the distance between the two points would be 7.2 units.
For more information regarding the distance between points, please refer to the link brainly.com/question/23848540.
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Answer:
Step-by-step explanation:
First, we can divide out the common factor, 6
Now we complete the square
Answer:
9
Step-by-step explanation:
4x-7
4(4)-7
16-7
9
Answer:
The rock remains in the air for t = 3.832 s
Step-by-step explanation:
To easily solve this equation, we can graph the equation with a calculator and see the interval for which the rock remains in the air.
(There is a minor problem with the equation, the last term should be 120 to model the 120 ft building)
h(t)= -16t^2 -30t + 120
Please see attached picture for the graph.
The time it takes for the ball to hit ground can be found by making
h(t) = -16t^2 -30t + 120 = 0
In the graph this point is equal to
t = 3.832 s
h(t) = 0
