Answer:
Rational!
Step-by-step explanation:
The decimal is terminating so this is rational.
For the answer to the question above,
The slope of the line of the line is calculated through the equation,
m = (y2 - y1) / (x2 - x1)
Using the first two points in the given,
m = (-7 - 9) / (-12 - 8) = 4/5
The line parallel to this has also a slope of 4/5. Through the point-slope form, the equation of the second line is,
y - -15 = (4/5)(x - -5)
Simplifying gives the answer of,
y = (4/5)x -11
Eliminating the fraction,
5y = 4x - 55
I hope my answer helped you.
Answer:
V = 36 in³
Step-by-step explanation:
The volume of a rectangular prism is given by the formula V = l × w × h
Here our length is
, our width is 4, and our height is 
Plugging in these values to our formula give us 
V = 36 in³
Let the four numbers be A,B,C,D in ascending order.
The key is in conditions 2 & 3.
B-C=-4, and B+C=0
therefore B=-2, C=2 by solving the two previous equations.
Given that the product of the two greatest numbers is 6, we have C*D=6, or
D=6/C=6/2=3
Now since the sum of all the four numbers is -6, we have
A+B+C+D=-6
A-2+2+3=-6
A=-6+2-2-3=-9
Check: we were told smallest divided by greatest = A/D=-9/3=-3 ok.
So the numbers are
A=-9, B=-2, C=2, D=3.
Yes because all of that equals to 5 and 9/12 which is less than 6 cups