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swat32
3 years ago
5

(No links) HALP AND ILL GIVE U MY INSTA TO WHOEVER WANTS IT

Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0
<h3>The two solutions are:   x = 0 and x = 1/2</h3>

====================================================

Work Shown:

10x^2 - 5x = 0

5x(2x - 1) = 0 .... factor out the GCF

5x = 0 or 2x-1 = 0 .... zero product property

x = 0/5 or 2x = 1

x = 0 or x = 1/2

Note: 1/2 = 0.5

We could use the quadratic formula here, or we could complete the square, but that's overkill in my opinion.

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Answer:

x(t) = - 5 + 6t and y(t) = 3 - 9t

Step-by-step explanation:

We have to identify the set of parametric equations over the interval 0 ≤ t ≤ 1 defines the line segment with initial point (-5,3) and terminal point (1,-6).

Now, put t = 0 in the sets of parametric equations in the options so that the x value is - 5 and the y-value is 3.

x(t) = - 5 + t and y(t) = 3 - 6t and  

x(t) = - 5 + 6t and y(t) = 3 - 9t

Both of the above sets of equations satisfy this above conditions.

Now, put t = 1 in both the above sets of parametric equations and check where we get x = 1 and y = -6.

So, the only set, x(t) = - 5 + 6t and y(t) = 3 - 9t  satisfies this condition.

Therefore, this is the answer. (Answer)

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