Perimeter is the sum of all sides of a shape. For a rectangle, it is the sum of the two lengths and two width measurements. We set up the equations as follows:
l = 2w - 3
P = 8l - 12
P = 2w + 2l
8l -12 = l - 3 + 2l
5l = 9
l = 9/5
9/5 = 2w - 3
w = 12/5
Answer:
2(d-vt)=-at^2
a=2(d-vt)/t^2
at^2=2(d-vt)
Step-by-step explanation:
Arrange the equations in the correct sequence to rewrite the formula for displacement, d = vt—1/2at^2 to find a. In the formula, d is
displacement, v is final velocity, a is acceleration, and t is time.
Given the formula for calculating the displacement of a body as shown below;
d=vt - 1/2at^2
Where,
d = displacement
v = final velocity
a = acceleration
t = time
To make acceleration(a), the subject of the formula
Subtract vt from both sides of the equation
d=vt - 1/2at^2
d - vt=vt - vt - 1/2at^2
d - vt= -1/2at^2
2(d - vt) = -at^2
Divide both sides by t^2
2(d - vt) / t^2 = -at^2 / t^2
2(d - vt) / t^2 = -a
a= -2(d - vt) / t^2
a=2(vt - d) / t^2
2(vt-d)=at^2
Answer:
It is slope of a line which is 4
Step-by-step explanation:
We are given that the given points are generated by a linear function. A linear function is ta straight line that can be represented by:

Here m is the slope
The slope of a line is given by the formula:

In order to find the slope from the table we take any two pairs of inputs and outputs i.e. x and y
So here we take
(x1,y1) = (-6,-16)
(x2,y2) = (-5,-12)
Putting the values in the formula

Hence,
It is slope of a line which is 4
F(x) = -2x +1 ( slope = -2 y intecept is 1)
replace x with 0 and solve for y =-2(0)+1 = 1 ( 0,1)
replace x with 2 and solve for y: -2(2) +1 = -4+1 = -3 (2,-3)
plot those 2 coordinates and draw a line
this is the red line on the attached graph
do the same for the g(x) formula
blue curve on graph.