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nikklg [1K]
3 years ago
6

Find the zeroes of the polynomial x2 −

Mathematics
1 answer:
alexgriva [62]3 years ago
7 0

Answer:

Constant = αβ=−5

Step-by-step explanation:

ab is5x

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Help me. what is three and one half times one and two thirds
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3 1/2 × 1 2/3 = 5 5/6.

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Prove the statement holds for all positive integers:<br><br> 2 + 4 + 6 + ... + 2n = n² + n
crimeas [40]

Proving a relation for all natural numbers involves proving it for n = 1 and showing that it holds for n + 1 if it is assumed that it is true for any n.

The relation 2+4+6+...+2n = n^2+n has to be proved.

If n = 1, the right hand side is equal to 2*1 = 2 and the left hand side is equal to 1^1 + 1 = 1 + 1 = 2

Assume that the relation holds for any value of n.

2 + 4 + 6 + ... + 2n + 2(n+1) = n^2 + n + 2(n + 1)

= n^2 + n + 2n + 2

= n^2 + 2n + 1 + n + 1

= (n + 1)^2 + (n + 1)

This shows that the given relation is true for n = 1 and if it is assumed to be true for n it is also true for n + 1.

<span>By mathematical induction the relation is true for any value of n.</span>

6 0
3 years ago
What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2/3x+5
swat32

Let k:y=m_1x+b_1 and l:y=m_2x+b_2

l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}

We have y=-\dfrac{2}{3}x+5\to _1=-\dfrac{2}{3}

Therefore

m_2=-\dfrac{1}{-\frac{2}{3}}=\dfrac{3}{2}

We have the equation of a line: y=\dfrac{3}{2}x+b.

Put the coordinates of the point (8, 1) to the equation of a line:

1=\dfrac{3}{2}(8)+b

1=(3)(4)+b

1=12+b       <em>subtract 11 from both sides</em>

-11=b\to b=-11

Answer: \boxed{y=\dfrac{3}{2}x-11}

3 0
3 years ago
What is the equation of the line? please help...​
nata0808 [166]
Heyy there, i couldnt find the line
4 0
2 years ago
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