First find your slope! by doing
y2-y1/x2-x1
in this case it would be
2-(-3)/-1-(-6)
It would give you 5/5 which would reduce to 1 meaning your slope equals 1
with your slope now you should use the point slope formula y-y1=m(x-x1)
i’m going to use the point (-1,2) so the equation would be
y-2=1(x-(-1))
simplifying that you would get
y-2=1x+1
then put it in y=mx+b form and get
y=x+3
Hey!
Hope this helps...
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To solve this, we will be doing a semi-alternate route, but it will get us to our answer...
400 / 100 = 4
30 / 4 = 7.5 seconds
60 * 60 * 7.5 = 27,000 meters per hour
<em></em><em>Lets plug it into our meters to miles formula...</em>
27,000 / 1,609.344 ~ 16.777 miles per hour
So...
The answer is: The Polar Express was going 27,000 meters per hour (or roughly close to 16.777 miles per hour)...
Answer:
Step-by-step explanation:
Given:
Center of the ellipse is, 
Minor axis length is, 
A vertex of the ellipse is at (1, -3)
Now, distance between the center and the vertex is half of the length of the major axis.
Using distance formula for (-4, -3) and (1, -3), we get:
Therefore, the value of half of major axis is, 
. Also,
Now, equation of an ellipse with center 
is given as:
Plug in 
and determine the equation.
Therefore, the equation of the ellipse is:
