Answer:
137,257
Step-by-step explanation:
Answer:
The x-coordinate of the point changing at ¼cm/s
Step-by-step explanation:
Given
y = √(3 + x³)
Point (1,2)
Increment Rate = dy/dt = 3cm/s
To calculate how fast is the x-coordinate of the point changing at that instant?
First, we calculate dy/dx
if y = √(3 + x³)
dy/dx = 3x²/(2√(3 + x³))
At (x,y) = (1,2)
dy/dx = 3(1)²/(2√(3 + 1³))
dy/dx = 3/2√4
dy/dx = 3/(2*2)
dy/dx = ¾
Then we calculate dx/dt
dx/dt = dy/dt ÷ dy/dx
Where dy/dx = ¾ and dy/dt = 3
dx/dt = ¾ ÷ 3
dx/dt = ¾ * ⅓
dx/dt = ¼cm/s
The x-coordinate of the point changing at ¼cm/s
since the lengths of all those four sides are in a 3:2:6:7 ratio, and the whole perimeter is 126, what we do is, simply divide the whole by (3+2+6+7) and distribute accordingly.
![\bf \stackrel{3\cdot \frac{126}{3+2+6+7}}{3}~~:~~\stackrel{2\cdot \frac{126}{3+2+6+7}}{2}~~:~~\stackrel{6\cdot \frac{126}{3+2+6+7}}{6}~~:~~\stackrel{7\cdot \frac{126}{3+2+6+7}}{7} \\\\\\ 3\cdot \cfrac{126}{18}~~:~~2\cdot \cfrac{126}{18}~~:~~6\cdot \cfrac{126}{18}~~:~~7\cdot \cfrac{126}{18} \\\\\\ 21~~:~~\stackrel{shortest}{14}~~:~~42~~:~~49](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B3%5Ccdot%20%5Cfrac%7B126%7D%7B3%2B2%2B6%2B7%7D%7D%7B3%7D~~%3A~~%5Cstackrel%7B2%5Ccdot%20%5Cfrac%7B126%7D%7B3%2B2%2B6%2B7%7D%7D%7B2%7D~~%3A~~%5Cstackrel%7B6%5Ccdot%20%5Cfrac%7B126%7D%7B3%2B2%2B6%2B7%7D%7D%7B6%7D~~%3A~~%5Cstackrel%7B7%5Ccdot%20%5Cfrac%7B126%7D%7B3%2B2%2B6%2B7%7D%7D%7B7%7D%20%5C%5C%5C%5C%5C%5C%203%5Ccdot%20%5Ccfrac%7B126%7D%7B18%7D~~%3A~~2%5Ccdot%20%5Ccfrac%7B126%7D%7B18%7D~~%3A~~6%5Ccdot%20%5Ccfrac%7B126%7D%7B18%7D~~%3A~~7%5Ccdot%20%5Ccfrac%7B126%7D%7B18%7D%20%5C%5C%5C%5C%5C%5C%2021~~%3A~~%5Cstackrel%7Bshortest%7D%7B14%7D~~%3A~~42~~%3A~~49)
I believe the answer is A
Answer: 5x + (x + 54) = 6x + 54
So now 6x + 54 = 90 because u are solving a right angle.
90 - 54 is 36. So 6x = 36 and 36 divided by 6 is 6. Your answer for X = 6 Hope this helps you please mark brainliest
Step-by-step explanation: