2x^4
13b-10
5y+10
5a^3
2b^2+8a
Answer:
1. 1.5 inches per minute
2. 90 inches per hour
Step-by-step explanation:
speed = 
1. total distance covered =
+ 
= 
= 
= 4
inches
Total time taken =
+ 
= 
= 
= 3 minutes
The ants average speed = 
= 1
= 1.5
The ants speed is 1
inches per minute.
2. Since;
60 minutes = 1 hour
3 minutes = x hours
x = 
= 
= 0.05 hours
Speed = 
= 90 inches per hour
The red ants speed is 90 inches per hour.
Answer:
y = 2/3x +2
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
= (6-2)/(6-0)
=4/6
=2/3
The slope intercept form of the equation for a line is
y= mx+b
y =2/3 x +b
We know the y intercept is 2 (the y intercept is when x=0)
y = 2/3x +2
Answer:

Step-by-step explanation:
An ellipse centered a point (h,k) has the following formula:

The distance between foci is:
![2\cdot c = \sqrt{[8-(-8)]^{2}+(0-0)^{2}}](https://tex.z-dn.net/?f=2%5Ccdot%20c%20%3D%20%5Csqrt%7B%5B8-%28-8%29%5D%5E%7B2%7D%2B%280-0%29%5E%7B2%7D%7D)


The center of the ellipse is:


The known vertex is on the horizontal axis of the ellipse. Then, the length of the semi-major axis is:


The length of the semi-minor axis is given by the following expression:




The equation of the ellipse is:
