Answer:
y=(1/5)x-5
Step-by-step explanation:
The given equation is
y=(1/5)x+4
This is of the form
y=mx+b
which is called the slope-intercept form because
m is the slope
b is the y intercept.
In this case,
m=1/5
b=4
you can see from the chart that this matches the red line.
If two lines are parallel, they must have the same slope. So we know that the slope of the desired line is 1/5. So, now we know that
y=(1/5)x+b
Since the line must go through the point (5,-4), we have
-4=(1/5)(5)+b
-4=1+b
b=-5
So, the desired line is
y=(1/5)x-5
Answer:
3.45
Step-by-step explanation:
24.84/7.2 = 3.45
I think it's equal to 4, It sounds the most likely
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
This is a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
step 1
Find the vertex of the quadratic equation
Convert the equation in vertex form
Complete the squares
Rewrite as perfect squares
The vertex is the point (3.5,0.25)
step 2
Find the x-intercepts
The x-intercepts are the values of x when the value of the function is equal to zero
we have
solve for x
square root both sides
therefore
The x-intercepts are the points (3,0) and (4,0)
step 3
Find the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
we have
For x=0
The y-intercept is the point (0,12)
step 4
Graph the quadratic equation
we have
The vertex (3.5,0.25)
The x-intercepts (3,0) and (4,0)
The y-intercept (0,12)
using a graphing tool
Plot the points and draw the figure
The graph in the attached figure
We are given table for height of the a penny h(t) in meters after t seconds.
For the table we can see very first value of t is 0 that represents starting time.
We are given h(t) =2 for t=0.
So, the coin was thrown from a height 2 meter.
Now, if we observe the table the coin height is getting decrease over the number of seconds.
At time 0.6 seconds the height of the coin is 0.236 meter.
And at 0.7 seconds it's became negative, that is -0.401.
So, after 0.6 seconds it is getting near and near to the ground.
So, after 0.6 seconds it would be 0.7 second.
So, we could just say that it would it take 0.7 second the penny to hit the ground.