You just simplify the fraction (so, 8/6 which is 4/3)
So your comes 4(square root of 35)/ 3 (square root of 15)
Answer:
x=3/radical2,-3/radical2,3/4
Step-by-step explanation:
By factoring you get
4x(2x^2-9)-3(2x^2-9)=(2x^2-9)(4x-3)=0
x^2=9/2, x=3/4
x=3radical2/2, -3radical2/2 , 3/4
Answer:
x = ± 10
Step-by-step explanation:
Given
y = x² - 100 ← a difference of squares , that is
y = x² - 10² = (x - 10)(x + 10)
To find the x- intercepts let y = 0 , that is
(x - 10)(x + 10) = 0
Equate each factor to zero and solve for x
x - 10 = 0 ⇒ x = 10
x + 10 = 0 ⇒ x = - 10
Part A
Given that

Then,

For

, then

Thus,

For

, we have

Part B
Recall that from part A,

Now, at initial position, t = 0 and

, thus we have

and when the velocity drops to half its value,

and

Thus,

Thus, the distance the particle moved from its initial position to when its velocity drops to half its initial value is given by
.075 will be written as 75/1,000. The fraction can then be simplified to the fraction 3/40.