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3 years ago

PLEASE HELPO 25 POINTS

Mathematics

1 answer:

Grace [21]3 years ago

6 0

Answer:

an = 1/2 (n) (n+1)

Step-by-step explanation:

1,3,6,10,.........

3-1=2

6-3=3

Each term is different so there is no common difference. It is not an arithmetic sequence

3/1=3

6/3 =2

Each term is different so there is no common ratio. It is not a geometric sequence

1 3 6 10

+2 +3 +4

a1 = 1

a2 = 3

a3 = 6 = 2*3

a4 = 10 = 2*5

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Transfer transfer the system of equations by forming a matrix equation.

Anika [276]

Answer:

Step-by-step explanation:

$\begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}^{-1}\times \begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}\times \begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7} \begin{bmatrix}2 & 3 \\ -1 & 2\end{bmatrix}\times \begin{bmatrix}19\\ -1\end{bmatrix}$

Since, $\begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}^{-1}=\frac{1}{7}\begin{bmatrix}2 & 3\\ -1 & 2\end{bmatrix}$

And $A^{-1}A=I$

$\begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7}\begin{bmatrix}2 & 3\\ -1 & 2\end{bmatrix}\times \begin{bmatrix}19\\-1 \end{bmatrix}$

$\begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7}\begin{bmatrix}35\\ -21\end{bmatrix}$

$\begin{bmatrix}x\\y \end{bmatrix}=\begin{bmatrix}5\\ -3\end{bmatrix}$

Therefore, x = 5 and y = -3 will be the value of variables.

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3 years ago

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Afina-wow [57]

The answer would be c

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3 years ago

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A slide 4.1 meters long makes an angle of 35º with the ground. To the nearest tenth of a meter, how far above the ground is the

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4 years ago

What is the probability of getting either a sum of 66 or at least one 66 in the roll of a pair of dice?

Sindrei [870]

So I'm hoping you mean 6, or else the probability is 0. So the possible ways of getting a sum of 6 is 1&5, 2&4, 3&3, 4&2, 5&1. There are 36 different ways of rolling the dice, so divide the 5 possible ways by 36. Then, we need to add the possibility of getting at least one 6 in the roll. It doesn't matter what the other die is, so for each die, the probability is 1/6, and for both, the probability is 2/6. Add this to the probability of getting a sum of 6, and you get your answer.

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3 years ago

Help Please question in the picture

DIA [1.3K]

Answer:

Option (1)

Step-by-step explanation:

Given figure in the picture has two parallel sides and fulfilling the property of a trapezium.

Since, an isosceles trapezium contains two parallel sides and other pair of the sides are equal in length.

Therefore, the given trapezium can't be an isosceles trapezium.

Option (1) will be the correct option.

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3 years ago