Answer:
The Camera will drop in 5 seconds
Step-by-step explanation:
1. y=-16t²+400
2. add -16t² to both sides
3. -16t²=-400
4. divide both sides by 16
5. t²=-25
6. t=√25
7. t=5
Answer (<u>assuming it can be written in slope-intercept form)</u>:
![y = \frac{7}{9} x+\frac{17}{9}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B7%7D%7B9%7D%20x%2B%5Cfrac%7B17%7D%7B9%7D)
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula,
. Substitute the x and y values of the given points into the formula and solve:
So, the slope is
.
2) Now, use the point-slope formula
to write the equation of the line. Substitute
,
, and
for real values.
Since
represents the slope, substitute
for it. Since
and
represent the x and y values of one point the line intersects, choose from any one of the given points (it doesn't matter which one, either way the result equals the same thing) and substitute its x and y values into the formula as well. (I chose (4,5), as seen below.) From there, isolate y to place the equation in slope-intercept form (
format) and find the following answer:
Answer: SECOND OPTION.
Step-by-step explanation:
You have the following formula given in the exercise, which is used to calculate gravitational potential energy.
![E= mgh](https://tex.z-dn.net/?f=E%3D%20mgh)
You need to solve for the heigh "h".
Remembar that the Division property of Equality states that:
If
, then ![\frac{a}{c}=\frac{b}{c}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bc%7D%3D%5Cfrac%7Bb%7D%7Bc%7D)
Therefore, you can divide both sides of the equation by
in order to solve for "h".
Then, you get:
![E= mgh\\\\\frac{E}{mg}=\frac{ mgh}{mg}\\\\h=\frac{E}{mg}](https://tex.z-dn.net/?f=E%3D%20mgh%5C%5C%5C%5C%5Cfrac%7BE%7D%7Bmg%7D%3D%5Cfrac%7B%20mgh%7D%7Bmg%7D%5C%5C%5C%5Ch%3D%5Cfrac%7BE%7D%7Bmg%7D)
Notice that it matches with the second option.
Answer:
x ≈ 7.1
Step-by-step explanation:
Using the cosine ratio in the right triangle.
cos27° =
=
=
( multiply both sides by x )
x × cos27° = 6.3 ( divide both sides by cos27° )
x =
≈ 7.1 ( to the nearest tenth )
Answer: Answer is 9 years (sub to pewdiepie
Step-by-step explanation: