Answer:
Step-by-step explanation:
Anything to the -1 is just the reciprocal of that thing. If it's -2, it's the reciprocal squared; -3 is reciprocal cubed, etc.
We can figure this out by solving for x, then finding the reciprocal:
Answer:
-0.5 ms^-2
Step-by-step explanation:
The initial velocity (u) = 2 ms-1
Final velocity (v) = 2 ms-1
Time taken (t) = 8 seconds
However the question clearly says that the final velocity is in opposite direction to the initial velocity. This implies that we have (-v), final velocity in opposite direction.
We must recall that vectors in opposite direction are commonly shown using a negative sign. Velocity is a vector, hence it possesses both magnitude and direction as we can see from the question.
Hence;
From a= v-u/t
a= (-2) - 2 / 8 = -0.5 ms^-2
Hence the acceleration of the crate is -0.5 ms^-2
1. Factor x^2+9x+20
((x+4)(x+5))/(x+3)*(x^2-x-12)/(x^2+3x-4)
2. Factor x^2-x-12
((x+4)(x+5))(x+3)*((x-4)(x+3)/(x^2+3x-4)
3. Factor x^2+3x-4
((x+4)(x+5))/(x+3)*((x-4)(x+3))/((x-1)(x+4))
4. Simplify
((x+4)(x+5)(x-4)(x+3))/((x+3)(x-1)(x+4))
5. Cancel x+3
((x+5)(x-4))/(x-1)
Have a nice day
Answer:
Step-by-step explanation:
From the figure attached,
Given:
Lines AB and CD are intersecting each other at a point E.
To prove:
∠ACB ≅ ∠DEB
Statements Reasons
1). ∠AEC + ∠BEC = 180° 1). Linear pair theorem
2). ∠DEB + ∠BEC = 180° 2). Linear pair theorem
3). ∠AEC + ∠BEC = ∠DEB + ∠BEC 3). Transitive property of equality
4). ∠AEC = ∠DEB 4). Subtraction property of equality
Answer:
Step-by-step explanation:
16p² = 29
p² = 29/16
p = ±√(29/16)
x² = -18
x = ±√(-18)
x = ± √9•√2•√-1
x = ± 3√2i
5(x - 1)² + 42 = 447
5(x² - 2x + 1) + 42 = 447
5x² - 10x + 5 + 42 = 447
5x² - 10x - 400 = 0
x² - 2x - 80 = 0
x = (2 ±√(2² - 4(1)(-80))) / (2(1))
x = (2 ±√324) / 2
x = (2 ±18) / 2
x = 1 ± 9
x = -8 , 10
3(x - 9)² = -100
3(x² - 18x + 81) = -100
3x² - 54x + 243 = -100
3x² - 54x + 343 = 0
x = (54 ±√(54² - 4(3)(343))) / (2(3))
x = (54 ±√-1200) / 6
x = (54 ± (20√3)i) / 6
x = 9 ± ⅓(10√3)i
