Answer:
140 feet
Step-by-step explanation:
If the first time she dropped the ball was from 160 feet then the second time she dropped the ball is would bounce back up 80 feet. The third time it would bounce 40 feet. And the 4th time it would bounce 20 feet
So the total distance the ball traveled from the first time it hit the ground is 140 feet
I'm not 100% sure I understand the question but I tried
Answer:
![9+\sqrt{41}](https://tex.z-dn.net/?f=9%2B%5Csqrt%7B41%7D)
Step-by-step explanation:
From C-A, it goes from y=1 to y=5, so that 4 units
From A-B, it goes from x = -1 to x = 4, that is 5 units
Now, to find distance from B to C, we need to use the distance formula:
![D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28y_2-y_1%29%5E2%2B%28x_2-x_1%29%5E2%7D)
Where the variables are the respective points of B and C,
B (4,5) & C(-1,1)
So x_1 =4, y_1=5, x_2=-1, y_2=1
Plugging into the formula we get:
![D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\D=\sqrt{(1-5)^2+(-1-4)^2}\\D=\sqrt{16+25}\\ D=\sqrt{41}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28y_2-y_1%29%5E2%2B%28x_2-x_1%29%5E2%7D%5C%5CD%3D%5Csqrt%7B%281-5%29%5E2%2B%28-1-4%29%5E2%7D%5C%5CD%3D%5Csqrt%7B16%2B25%7D%5C%5C%20D%3D%5Csqrt%7B41%7D)
Summing it all (perimeter is sum of 3 sides):
Distance = ![4+5+\sqrt{41}\\ =9+\sqrt{41}](https://tex.z-dn.net/?f=4%2B5%2B%5Csqrt%7B41%7D%5C%5C%20%3D9%2B%5Csqrt%7B41%7D)
3rd answer choice is right.
0.93 = 0.9
0.18 = 0.2
0.9 + 0.2 = 1.1
Answer 1.1
The roots of an equation are simply the x-intercepts of the equation.
See below for the proof that
has at least two real roots
The equation is given as: ![\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cfrac%7Bx%5E4%7D%7B2021%7D%20%3D%202021x%5E2%20-%20x%20-%203%20%3D%200%7D)
There are several ways to show that an equation has real roots, one of these ways is by using graphs.
See attachment for the graph of ![\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cfrac%7Bx%5E4%7D%7B2021%7D%20%3D%202021x%5E2%20-%20x%20-%203%20%3D%200%7D)
Next, we count the x-intercepts of the graph (i.e. the points where the equation crosses the x-axis)
From the attached graph, we can see that
crosses the x-axis at approximately <em>-2000 and 2000 </em>between the domain -2500 and 2500
This means that
has at least two real roots
Read more about roots of an equation at:
brainly.com/question/12912962
If it hops 7 feet a second then it would hop 35 times in 5 seconds. 5 x 7 = 35.
Happy studying ^-^