Answer:
Rui will reach his lowest altitude after diving for 10 seconds
Step-by-step explanation:
In the quadratic equation y = ax² + bx + c, the coordinates of the lowest or the highest point is (h, k), where
- h =
and k = y at x = h
In the given question
∵ d(x) =
x² - 10 x
∵ d represents his altitude in meters after x seconds
→ Compare it with the form above to find a and b
∴ a =
and b = -10
∵ h =
→ Substitute the values of a and b in the rule to find h
∴ h =
= 10
∴ h = 10
∵ h is the x-coordinate of the lowest point
∴ The time of the lowest altitude is 10 seconds
∴ Rui will reach his lowest altitude after diving for 10 seconds
2/5 of the flowers are tulips, 5/8 of the tulips are yellow. Yellow tulpis are 5/8 of 2/5 of the flowers.
3(2a+1)-a
6a+1-a→→ 6a-a equals 5a
5a+3
the number in the first box is 5 and the second box 3
Answer:
First ordered pair: (-4,-3)
Second ordered pair: (8,3)
Step-by-step explanation:
To find the missing coordinate, all we have to do is to plug it into the corresponding variable and solve.
First Ordered Pair
x-2(-3)=2 [multiply -2 and -3]
x+6=2 [subtract 6 on both sides]
x=-4
(-4,-3)
Second Ordered Pair
8-2y=2 [subtract 8 on both sides]
-2y=-6 [divide both sides by -2]
y=3
(8,3)
Answer:
The acceleration in the system and in the rope is same as 5.88 m/s2.
Step-by-step explanation:
The figure shows two blocks of m1 = 0.8 Kg and m2 = 0.2 kg if the block of mass m2 is dragged by the block of mass m1 calculate the acceleration of the system and the acceleration of the rope
Let the acceleration is a and the tension in the string is T.
Use Newton's second law
![m_1 g - T = m_1 a ..... (1)\\\\T -m_2 g = m_2 a ......(2)\\\\Add both of them \\\\(m_1 - m_2) g = (m_1 + m_2) a \\\\(0.8-0.2)\times9.8 = (0.8+0.2)a\\\\a = 5.88 m/s^2](https://tex.z-dn.net/?f=m_1%20g%20-%20T%20%3D%20m_1%20a%20.....%20%281%29%5C%5C%5C%5CT%20-m_2%20g%20%3D%20m_2%20a%20......%282%29%5C%5C%5C%5CAdd%20both%20of%20them%20%5C%5C%5C%5C%28m_1%20-%20m_2%29%20g%20%3D%20%28m_1%20%2B%20m_2%29%20a%20%5C%5C%5C%5C%280.8-0.2%29%5Ctimes9.8%20%3D%20%280.8%2B0.2%29a%5C%5C%5C%5Ca%20%3D%205.88%20m%2Fs%5E2)