The difference is 
Explanation:
The expression is 
Removing the parenthesis, we have,

Factoring the terms
and
, we get,

Taking LCM, we get,

Simplifying the numerator, we get,

Subtracting the numerator, we have,

Hence, the difference is 
Answer:
<h3>YES</h3>
Step-by-step explanation:
Given the position of the particle expressed using the expression;
x(t)= 5t^3 - 9t^2 + 7 where;
x moves along the positive x-axis
when t = 1
x(1) = 5(1)^3 - 9(1)^2 + 7
x(1) = 5 - 9 + 7
x(1) = -4 + 7
x(1) = 3
<em>Since the position of the particle is positive at t = 1, hence the particle is moving towards the right at time t = 1</em>
We could use the formula, derive the formula, or just work it out for this case. Let's do the latter.
The distance of a point to a line is the length of the perpendicular from the line to the point.
So we need the perpendicular to 5x-4y=10 through (-1,3). To get the perpendicular family we swap x and y coefficients, negating one. We get the constant straightforwardly from the point we're going through:
4x + 5y = 4(-1)+5(3) = 11
Those lines meet at the foot of the perpendicular, which is what we're after.
4x + 5y = 11
5 x - 4y = 10
We eliminate y by multiplying the first by four, the second by five and adding.
16x + 20y = 44
25x - 20y = 50
41x = 94
x = 94/41
y = (11 - 4x)/5 = 15/41
We want the distance from (-1,3) to (94/41,15/41)
Answer:
Option D
Step-by-step explanation:
466 - 55 =411
411 = t
Answer with positive exponent =
or 
Answer with negative exponent = 
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Explanation:
The rule we use is

If we multiply two exponential expressions with the same base, then we add the exponents.
The base for each is 5. The exponents 4 and -7 add to -3.
This means

To convert to a positive exponent, we apply the reciprocal to the base. We go from 5, aka 5/1, to 1/5.
So, 