Answer:
y = ½x -3
Step-by-step explanation:
_____________________
Answer:
![t=1.020s](https://tex.z-dn.net/?f=t%3D1.020s)
Step-by-step explanation:
Given Equation:
![5t-0.5at^{2} =0](https://tex.z-dn.net/?f=5t-0.5at%5E%7B2%7D%20%3D0)
Actually the given equation is the 2nd equation of motion
i.e. ![S =V_{i} t+0.5at^{2}](https://tex.z-dn.net/?f=S%20%3DV_%7Bi%7D%20t%2B0.5at%5E%7B2%7D)
where
because the astronaut jumps on the earth
and initial velocity ![V_{i}=5](https://tex.z-dn.net/?f=V_%7Bi%7D%3D5)
to find time
, put the given value of
in the given equation, we get
![5t-0.5(9.8)t^{2} =0\\t(5-4.9t)=0\\ \ dividing\ both\ sides\ by\ t\ we \ get\\ 5-4.9t=0\\4.9t=5\\t=\frac{5}{4.9}\\ t=1.020s](https://tex.z-dn.net/?f=5t-0.5%289.8%29t%5E%7B2%7D%20%3D0%5C%5Ct%285-4.9t%29%3D0%5C%5C%20%5C%20dividing%5C%20both%5C%20sides%5C%20by%5C%20t%5C%20we%20%5C%20get%5C%5C%205-4.9t%3D0%5C%5C4.9t%3D5%5C%5Ct%3D%5Cfrac%7B5%7D%7B4.9%7D%5C%5C%20t%3D1.020s)
it will take
to reach the ground if he jumps on the Earth
Answer:4.375
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
I think we had a question similar to this before. Again, let's figure out the vertical and horizontal distances figured out. The distance from C at x=8 to D at x=-5 is 13 units while the distance from C at y=-2 to D at y=9 is 11 units. (8+5=13 and 2+9=11, even though some numbers are negative, we're looking at their value in those calculations)
Next, we have to divide each distance by 4 so we can apply it to the ratio. 13/4=
and 11/4=
. Next, we need to read the question carefully. It's asking us to place the point in the ratio <em>3</em> to <em>1</em> from <em>C</em> to <em>D</em>. The point has to be closer to endpoint D because of this. Let's take each of our fractions, multiply them by 3, then add them towards the direction of endpoint D to get our answer (sorry if that sounds confusing):
![\frac{13}{4}*3 = \frac{39}{4}\\ 8-\frac{39}{4} = \frac{-7}{4}\\\frac{11}{4}*3 = \frac{33}{4} \\-2+\frac{33}{4} = \frac{25}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B4%7D%2A3%20%3D%20%5Cfrac%7B39%7D%7B4%7D%5C%5C%208-%5Cfrac%7B39%7D%7B4%7D%20%3D%20%20%5Cfrac%7B-7%7D%7B4%7D%5C%5C%5Cfrac%7B11%7D%7B4%7D%2A3%20%3D%20%5Cfrac%7B33%7D%7B4%7D%20%20%5C%5C-2%2B%5Cfrac%7B33%7D%7B4%7D%20%3D%20%5Cfrac%7B25%7D%7B4%7D)
Therefore, our point that partitions CD into a 3:1 ratio is (
).
I'm not sure if there was more to #5 judging by how part B was cut off. From what I can understand of part B, however, I believe that Beatriz started from endpoint D and moved towards C, the wrong direction. She found the coordinates for a 1:3 ratio point.
Also, for #6, since a square is a 2-dimensional object, the answer needs to be written showing that. The answer for #6 is 9 units^2.
Answer: c
Step-by-step explanation: 23/99 as a fraction