This is the concept of algebra, the denominator of y+(y-3)/3 will be as follows;
the expression y+(y-3)/3 can be written as:
y/1+(y-3)/3
the denominator of the first term is 1 and that of the second denominator is 3, to get the common denominator for both terms we multiply both denominators;
thus the common denominator will be:
3*1=3
thus the our common denominator will be 3:
The value of r in the given coordinates with their slope is; r = 7
How to find the Slope of a Line?
The formula for slope of a line passing through 2 points is;
m = (y2 - y1)/(x2 - x1)
We are given the coordinates as;
(1,-10) and (r,2)
The slope of the line passing through this coordinates is 2. Thus;
(2 + 10)/(r - 1) = 2
12 = 2r - 2
2r = 14
r = 14/2
r = 7
Read more about Slope of a Line at; brainly.com/question/3493733
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The answer is A
set 13/20=x/100 13x100 is 1300 divided by 20 is 65.
65/100 is 0.65 as a decimal
You just use what you already know. You know that 1 week is equal to 7 days so you just do 1 * 7 = 7 or 1 week. Then 54 * 7 = 378
vi is going in the positive direction (up). (That's my choice). a (acceleration) is going in the minus direction (down). The directions could be reversed.
Givens
vi = 160 ft/s
vf = 0 (the rocket stops at the maximum height.)
a = - 9.81 m/s
t = ????
Remark
YOu have 4 parameters between the givens and what you want to solve. Only 1 equation will relate those 4. Always always list your givens with these problems so you can pick the right equation.
Equation
a = (vf - vi)/t
Solve
- 32 = (0 - 160)/t Multiply both sides by t
-32 * t = - 160 Divide by -32
t = - 160/-32
t = 5
You will also need to solve for the height to answer part B
t = 5
vi = 160 m/s
a = - 32
d = ???
d = vi*t + 1/2 a t^2
d = 160*5 + 1/2 * - 32 * 5^2
d = 800 - 400
d = 400 feet
Part B
You are at the maximum height. vi is 0 this time because you are starting to descend.
vi = 0
a = 32 m/s^2
d = 400 feet
t = ??
formula
d = vi*t + 1/2 a t^2
400 = 0 + 1/2 * 32 * t^2
400 = 16 * t^2
400/16 = t^2
t^2 = 25
t = 5 sec
The free fall takes the same amount of time to come down as it did to go up. Sort of an amazing result.
