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svetoff [14.1K]
3 years ago
15

The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking.assume

that an ants constant off proportionality is 18. If an ant walks for 10 minutes, how far will it travel?
Mathematics
1 answer:
san4es73 [151]3 years ago
7 0

Answer:

d = 3  meters

Step-by-step explanation:

d = rt where d is the distance t is the time and r is the constant of proportionality

d = 18t

Changing 10 minutes to hours

10 minutes * 1 hours / 60 minute = 1/6 hour

d = 18 * 1/6 hour

d = 3  meters

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Factor the expression below 36a2-25b2 which binomial is factor of the expression
Serhud [2]

Answer: (6a + 5b) • (6a - 5b)

 

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "b2"   was replaced by   "b^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (36 • (a2)) -  52b2

Step  2  :

Equation at the end of step  2  :

 (22•32a2) -  52b2

Step  3  :

Trying to factor as a Difference of Squares :

3.1      Factoring:  36a2-25b2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  36  is the square of  6

Check : 25 is the square of 5

Check :  a2  is the square of  a1

Check :  b2  is the square of  b1

Factorization is :       (6a + 5b)  •  (6a - 5b)

Final result :

 (6a + 5b) • (6a - 5b)

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