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Paha777 [63]
3 years ago
10

What’s the radical form of 2 1/2

Mathematics
1 answer:
Svetlanka [38]3 years ago
7 0

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One of the roots of the equation 3x^2+7x−q=0 is −5. Find the other root and q.
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Answer: The answer is \textup{The other root is }\dfrac{8}{3}~\textup{and}q=40.Step-by-step explanation:  The given quadratic equation is[tex]3x^2+7x-q=0\\\\\Rightarrow x^2-\dfrac{7}{3}x-\dfrac{q}{3}=0.

Also given that -5 is one of the roots, we are to find the other root and the value of 'q'.

Let the other root of the equation be 'p'. So, we have

p-5=-\dfrac{7}{3}\\\\\\\Rightarrow p=5-\dfrac{7}{3}\\\\\\\Rightarrow p=\dfrac{8}{3},

and

p\times(-5)=-\dfrac{q}{3}\\\\\\\Rightarrow \dfrac{8}{3}\times 5=\dfrac{q}{3}\\\\\\\Rightarrow q=40.

Thus, the other root is \dfrac{8}{3} and the value of 'q' is 40.

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[HELP FAST] A line passes through the point (4, -9) and has a slope of -5/4
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Answer:

y= \frac{-5}{4}x -4

Step-by-step explanation:

using pt-slope form, we get  y - (-9) = \frac{-5}{4}(x-4). Using the Distributive Property and Addition Propert of Equality, we can simplify this equation into y = \frac{-5}{4}x + 5 by factoring -5/4 into (x-4) and subtracting 9 from both sides.

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