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GREYUIT [131]
3 years ago
8

17 points please show your work Solve. x^2+5x+6=0

Mathematics
1 answer:
timama [110]3 years ago
8 0

Answer:

<h2>x = -2 or x = -3</h2>

Step-by-step explanation:

x^2+5x+6=0\\\\x^2+2x+3x+6=0\\\\x(x+2)+3(x+2)=0\\\\(x+2)(x+3)=0\iff x+2=0\ \vee\ x+3=0\\\\x+2=0\qquad\text{subtract 2 from both sides}\\x=-2\\\\x+3=0\qquad\text{subtract 3 from both sides}\\x=-3

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make a conjecture, is there a value of N for which there could be a triangle with sides of length N, 2N, and 3N?
Assoli18 [71]

Answer: Conjecture: There is no triangle with side lengths N, 2N, and 3N (where N is a positive real number)

Proof:

We prove this by contradiction: Suppose there was an N for which we can construct a triangle with side lengths N, 2N, and 3N. We then apply the triangle inequalities tests. It must hold that:

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3 years ago
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Answer Step-by-step explanation:

\huge\boxed{A)-1}

The~average~rate~of~change~of~the~given~quadratic~function~on~the interval~0 ≤ x ≤4 is~the~slope~of~the~secant~line~connecting~the~points~(0,f(0))~and~(4,f(4)).

The~average~rate~of~change~is:

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Now,from~the~graph,f(0)~is~0~and~f(4)~is~-4.

We~plug~in~these~values~to~obtain;

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Thus,~the~average~rate~of~change~for~the~given~quadratic~function whose~graph~is~shown~on~0 ≤ x ≤ 4~is~=-1.

3 0
3 years ago
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Anna11 [10]
V=hpir^2
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assuming they havve same height

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2nd one
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