Answer: 5.33
Step-by-step explanation: 5 laps in 5/4 of an hour to find the final 1/3 divide 1/4 by 1/3 to find how long it will take him to run that which is 1/12 so just add to the 5/4 time he has already ran to get 16/3 or 5.33333
You can approach this question by writing the function as y=… as I did in the photo. Then rearrange to make x the subject. Lastly, swap the ys for xs and write as I did on the final line of my working. If you like I can explain how to rearrange the equation or answer any other questions but I think you should be able to see
<span>1/12+3/8y=5/12+5/8y
</span><span>3/8y- 5/8 y = 5/12- 1/12
-2/8y = 4/12
-1/4y = 1/3
y = 1/3 *(-4)
y = - 4/3</span>
The answer to the above equation is 3
Step-by-step explanation:
(a-b)³+(b-c)³+(c-a)³: (a-b)(b-c)(c-a)
Let us consider (a−b)= x, (b−c)= y and (c−a)= z.
Hence, It is obvious that:
x+y+z =0 ∵all the terms gets cancelled out
⇒We must remember the algebraic formula
x³+y³+z³−3xyz= (x+y+z) (x²+y²+z²-xy-xz-yz)
Since x+y+z=0 ⇒Whole “(x+y+z) (x²+y²+z²-xy-xz-yz)
” term becomes 0
x³+y³+z³−3xyz =0
Alternatively, x³+y³+z³= 3xyz
Now putting the value of x, y, z in the original equation
(a-b)³+(b-c)³+(c-a)³ can be written as 3(a-b)(b-c)(c-a) since (a−b)= x, (b−c)= y and (c−a)= z.
3(a-b)(b-c)(c-a): (a-b)(b-c)(c-a)
= 3 ∵Common factor (a-b)(b-c)(c-a) gets cancelled out
Answer to the above question is 3
Your middle finger and index/pointer.