Answer:
D. (27x^6y^9) / x^9.
Step-by-step explanation:
(3x^2y^3 / z^3 )^3
= 3^3 x^(2*3)y(3*3) / z^(3^3)
= 27 x^6y^9 / x^9.
Answer:
<h2>
2x + 3y = 33 </h2>
Step-by-step explanation:
As we move from (-2, 5) to (1, 3), x increases by 3 and y decreases by 2.
Hence, the slope of this line is m = rise / run = -2/3.
Start with the slope-intercept form y = mx + b.
Substitute 3 for y and 1 for x and -2/3 for m:
3 = (-2/3)(1) + b.
Remove fractions by mult. all three terms by 3:
9 = -2 + b, so b = 11, and y = (-2/3)x + 11
Again, mult. all three terms by 3:
3y = -2x + 33, or, in standard form,
<h2>
2x + 3y = 33 </h2>
Answer:
x = 32
Step-by-step explanation:
This is an equilateral triangle. This means the angles of the triangle are all equal. Since the sum of a triangle's angles is 180°, that means each angle will be 60°.
<span>the particle's initial position is at t=0, x = 0 - 0 + 4 = 4m
velocity is rate of change of displacement = dx/dt = d(t^3 - 9t^2 +4)/dt
= 3t^2 - 18t
acceleration is rate of change of velocity = d(3t^2 -18t)/dt
= 6t - 18
</span><span>the particle is stationary when velocity = 0, so 3t^2 - 18t =0
</span>3t*(t - 6) = 0
t = 0 or t = 6s
acceleration = 6t - 18 = 0
t = 3s
at t = 3s, velocity = 3(3^2) -18*3 = -27m/s
displacement = 3^3 - 9*3^2 +4 = -50m
Hey there!
If x = -3 then replace "x" with -3
New equation: -3^-2
(-1 × 3)^-2
(-1 / 3 )× 3
3 × 3 = 3^3 = 9 (Solving for your denominator)
(-1/3)^2
= (1/9)
This your answer is: 1/9
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
