Two objects are moving along separate linear paths where each path is described by position, d, and time, t. the variable d is measured in meters, and the variable t is measured in seconds. the equation describing the graph of the position of the first object with respect to time is d = 2.5t + 2.2. the graph of the position of the second object is a parallel line passing through (t = 0, d = 1). what is the equation of the second graph? a. d = 2.5t + 1 b. d = t + 2.5 c. d = -0.4t + 1 d. d = 2.5t + 3.2

The correct option is:   A.  

Explanation

The equation describing the graph of the position of the first object with respect to time is:  

If we compare the above equation with the standard slope-intercept form, then the slope of the above equation will be 2.5

As the slopes of the parallel lines are equal to each other, so the slope of the parallel line will be also 2.5

So, the equation of the parallel line will be:   , where is the y-intercept.

The parallel line is passing through (t = 0, d = 1). So, plugging these values into the above equation, we will get.....

So, the equation of the second graph will be:  

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3