64=2^6, 72=2^3*3^2
gcd (64,72)=8
Therefore 64/8 =8
72/8=9
gcd (8,9) =1
8,9 are relatively prime.
Thus, 64/72=8/9
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Answer:
5secs
Step-by-step explanation:
Given the equation of the height expressed ad;
h(t) = - 16t^2 + initial height
Given that initial height = 400feet
h(t) = - 16t^2 + 400
The waste will hit the ground at when h(t) = 0
substitute
0 = - 16t^2 + 400
16t^2 = 400
t² = 400/16
t² = 25
t = √25
t = 5secs
Hence it will take the easte 5secs to hit the ground
Answer:
- The value of x is 12 units.
Step-by-step explanation:
<u>We know that:</u>
<u>Let's solve using Pythagoras theorem.</u>
- => 13² = 5² + x²
- => 169 = 25 + x²
- => 169 - 25 = x²
- => 144 = x²
- => √x² = √144
- => x = √144
- => x = 12
Hence, the value of x is 12 units.
Answer:
see attached
Step-by-step explanation:
To find the inverse function, solve ...
x = f(y)
x = (y^7)/7 -4 . . . . . . . use the definition of f(x)
x +4 = (y^7)/7 . . . . . . add 4
7(x +4) = y^7 . . . . . . multiply by 7
(7(x +4))^(1/7) = y . . take the 7th root
The inverse function is the one shown in the attachment.
