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natita [175]
3 years ago
9

Explain why 1.55 centimeters is a reasonable answer for the difference in the wingspans of the two butterflies

Mathematics
1 answer:
melamori03 [73]3 years ago
4 0
The difference is referring to subtraction, so the question was most likely something like how much longer is this butterflies wings than this ones. so 4.55 might be one of the lengths and 3 might be the other, so 4.55 - 3 is 1.55.
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In circle C, r = 32 units.
vlabodo [156]
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The solution set for the equation x - 6x + 10 = 0 is
Oxana [17]

Answer:

{3-i, 3+ i}

Step-by-step explanation:

hello : the equation is :  x²-6x+10 =0

because : (3+i)²-6(3+i)+10 = 9+6i+i²-18-6i+10 =9+6i-1-18-6i+10 =0...right

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8 0
3 years ago
Given that the expression 2x^3 + mx^2 + nx + c leaves the same remainder when divided by x -2 or by x+1 I prove that m+n =-6
Alla [95]

Given:

The expression is:

2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1.

To prove:

m+n=-6

Solution:

Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).

Let the given polynomial is:

P(x)=2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that

P(2)=P(-1)              ...(i)

Substituting x=-1 in the given polynomial.

P(-1)=2(-1)^3+m(-1)^2+n(-1)+c

P(-1)=-2+m-n+c

Substituting x=2 in the given polynomial.

P(2)=2(2)^3+m(2)^2+n(2)+c

P(2)=2(8)+m(4)+2n+c

P(2)=16+4m+2n+c

Now, substitute the values of P(2) and P(-1) in (i), we get

16+4m+2n+c=-2+m-n+c

16+4m+2n+c+2-m+n-c=0

18+3m+3n=0

3m+3n=-18

Divide both sides by 3.

\dfrac{3m+3n}{3}=\dfrac{-18}{3}

m+n=-6

Hence proved.

7 0
3 years ago
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