The distance the tip travels is
2π·(40 m) = 80π m
Then its speed is
(80π m)/(10 s) = 8π m/2 ≈ 25.1 m/s
You could rewrite this as double brackets, as you are multiplying together two sets of two terms. It would then look like:
(8i + 6j)(4i + 5j)
and you can expand by multiplying together all of the terms
8i × 4i = 32i²
8i × 5j = 40ij
6j × 4i = 24ij
6j × 5j = 30j²
To get your final answer, you then just need to add together all of the like terms, and get 32i² + 30j² + 64ij
I hope this helps!
To solve this, you have to take 7/12 out of each pan first, so how to do that is to divide each pan into 1/12. So you did that, and all three pans equal 36/12. Great. Eliza has 36/12 fruit bars.
Now, you see that the classmates at 7/12 out of EACH. To find that out, you just multiply 7/12 by 3 which is 21/12. Subtract 21/12 from 36/12 since the classmates ate 21/12 out of the total and you get 15/12.
Now she gave 1 pan to the secretaries, which is 12/12, so you subtract that from the 15/12 you have left over. That's 3/12.
And she brought 3/12 home. You can simplify that into 1/4.
Answer: x = 6 plus-or-minus 3 StartRoot 10
Step-by-step explanation:
The given quadratic equation is expressed as
x² - 12x + 36 = 90
Rearranging the equation so that it takes the the standard form of
ax² + bx + c, it becomes
x² - 12x + 36 - 90 = 0
x² - 12x - 54 = 0
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 1
b = - 12
c = - 54
Therefore,
x = [- - 12 ± √(- 12² - 4 × 1 × - 54)]/2 × 1
x = [12 ± √(144 + 216)]/2
x = [12 ± √360]/2
x = (12 ± 6√10)/2
x = 6 + 3√10
Actually its A) Michael's dock would be closer because the angle opposite is smaller .