Answer:
x = 5, x = 
Step-by-step explanation:
Given
+ 
= 3 
= 
=
= ( cross- multiply )
10(x² - 6x + 8) = 3(2x² - 10x + 10) ← distribute both sides
10x² - 60x + 80 = 6x² - 30x + 30 ← subtract 6x² - 30x + 30 from both sides
4x² - 30x + 50 = 0 ( divide through by 2 )
2x² - 15x + 25 = 0 ← in standard form
(2x - 5)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 5 = 0 ⇒ 2x = 5 ⇒ x =
x - 5 = 0 ⇒ x = 5
Disregarding air friction, the distance traveled by an object due to gravity is : H = 0.5*g*t^2. g is the gravitational constant at the surface of earth.
g= 9.81 m/s^2
After 3 seconds, Distance = .5*9.81*9 = 44.15 meters traveled.
Since it was dropped from a height of 90 meters, the current height is 90 - 44.15 = (a) 45.85 meters
(b) It has to travel 90 meters to hit the ground . So we must find t
Using the same equation
t = (2*H/g)^.5
t = (2*90/g)^.5 = 4.28 seconds until it hits the ground
Answer:
57% of the class failed the test.
Step-by-step explanation:
28 - 12 = 16
16/28 = 0.57142857142 ≈ 0.57
Thus, 57% of the class failed the test.
Ln ( | Sec (e^x + π) + tan ( e^x +π ) | )
Answer:
Range=26
Range after everyone loses 4 pounds=22
Step-by-step explanation:
You subtract 161-135, carry 1 from 6 and change 6 to 5, 11-5=6, 5-3=2, and voila.
