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hram777 [196]
3 years ago
14

Factorise x^2+11x+18

Mathematics
2 answers:
VashaNatasha [74]3 years ago
7 0

Answer:

(x+9) (x+2)

Step-by-step explanation:

x^2+11x+18

x^2+9x+2x+18

x(x+9)+2(x+9)

(x+9) (x+2)

Semenov [28]3 years ago
4 0

Answer:

(x + 9)(x + 2 )

Step-by-step explanation:

Sum =11

Product = 18

Factors = 9 , 2

When you multiply (9*2 = 18) and when you add (9 +2 = 11).

x² + 11x + 18 = x² + 9x + 2x + (9*2)

                   =x(x + 9) + 2(x + 9)

                  = (x + 9)(x + 2 )

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zheka24 [161]

SOLUTION

We have been given the equation of the decay as

\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}

So we are looking for the time

Plugging the values into the equation, we have

\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}

Taking Ln of both sides, we have

\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}

Hence the answer is 4308 to the nearest year

8 0
9 months ago
8x+2y=-2<br> y=-5x+1<br> Solve for x and y
sp2606 [1]
X = 2
y = -9
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5 0
3 years ago
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Gelneren [198K]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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Naya [18.7K]

Answer:

D

Step-by-step explanation:

A is not correct. A trapezoid does not have 4 equal sides.

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D is the correct answer.

E is incorrect. A rectangle has 2 pairs of equal sides and two sets of opposite sides that are equal and parallel. It also has at least 1 right angle.

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6 0
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Does someone mind helping me with this problem? Thank you!
Damm [24]

Using the Pythagorean theorem:

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c = 10.6

7 0
2 years ago
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