First, you need to use the points to come up with a m (slope). To do this you must use the equation m= y2-y1/x2-x1. label the x in one pair of coordinates x1 and the y, y1. Then label the other x in the other pair of coordinates x2 and the y, y2. use the equation and figure the slope. Next, put the easiest coordinates into point-slope form. The equation you are to use is... y-y1=m(x-x1). Input the values and then distribute the m inside the parenthesis. Then you should be able to do the rest. The final product should be in slope-intercept form.
Given :
A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v=2i-4tj .
To Find :
A. The vector position of the particle at any time t .
B. The acceleration of the particle at any time t .
Solution :
A )
Position of vector v is given by :
B )
Acceleration a is given by :
Hence , this is the required solution .
The length of side of garden are 76 feet and 49 feet
<em><u>Solution:</u></em>
Given that, Elias has decided to fence in a garden that is in the shape of a parallelogram
Measure of one side = 76 feet
250 ft of fencing is needed to enclose the garden
Therefore, perimeter = 250
<em><u>The perimeter of parallelogram is given by:</u></em>
Perimeter = 2(a + b)
Where, a and b are the length of sides
Here, a = 76
b = ?
<em><u>Substituting in formula, we get</u></em>
250 = 2(76 + b)
250 = 152 + b
2b = 250 - 152
2b = 98
b = 49
Thus the length of side of garden is 49 feet
