Answer:
Yes this is a proportional relationship.
Equation is;
D=20T
Step-by-step explanation:
A horse run;
800m in 40 seconds
1200m in 60 seconds
and
480m inn 24 seconds
800m ÷ 40s = 1200m ÷ 60s = 480m ÷ 24s = 20
The equation here is Distance(D) = 20 × Time(T)
D=20T
It implies that the distance of the horse is directly proportional to the time it takes to run.
Answer:
The proof is shown in the explanation below.
Step-by-step explanation:
Analysis:
The proof by induction focuses on n. In this case, let n = 1, and
will be a linear operator since
The exercise will show that
is a linear operator on V and that
is also a linear operator on V. This, follows that:

Check the picture below, let's use those two points on the line to get its slope.

Answer:
Difference of squares:
y^4−25
16x^2−81
Not difference of squares:
20m^2n^2−121
p^8−q^5
Step-by-step explanation:
y^4−25
(y²)² - 5²
16x^2−81
(4x)² - 9²
20m^2n^2−121
20 is not a perfect square
p^8−q^5
q⁵ is not a perfect square
Px + qy = r
2px - qy = 2r
----------------add
3px = 3r
x = 3r/3p
x = r/p