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CaHeK987 [17]
3 years ago
5

Which rule describes the number pattern

Mathematics
1 answer:
Nata [24]3 years ago
5 0
<h2>Answer:</h2>

<u>Arithmetic progression</u>.

By this we can find the <u>common difference</u><u> </u>(d)and <u>sum of the series upto n terms</u> (Sn) and even <u>any particular number of the series</u>(Tn).

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4 years ago
Need help with this math problem
Shkiper50 [21]

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Step-by-step explanation:

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Taking a bottom-left corner of the graph as (0,0)

Given Line AB,

Point A is located as (4,9)

Point B is located as (16,1)

The slope of AB is

=\frac{Y1-Y2}{X1-X2}

=\frac{9-1}{4-16}

=\frac{8}{-12}

=\frac{-2}{3}

The question says "  Draw a line passes through C(13,12) and parallel to Line AB "

Now, Let the equation of the target line is y=mx + c

Where m=slope and c is the y-intercept

The target line is parallel to the line AB

The slope of the Target line = The slope of the Line AB =\frac{-2}{3}

m==\frac{-2}{3}

We can write, the equation of the target line is

y=\frac{-2}{3}x + c

Also, the Target line is passing through C(13,12)

Point C satisfies the equation

y=\frac{-2}{3}x + c

12=\frac{-2}{3}13 + c

12=\frac{-26}{3} + c

12+\frac{26}{3}=c

c= 12+\frac{26}{3}

c= \frac{62}{3}

Replacing the value

the equation of the target line is

y=\frac{-2}{3}x + c

y=\frac{-2}{3}x +  \frac{62}{3}

3y= -2x + 62

It is also asked that if a line is extended , would it passes through the (18,-8)?

If a line passes through the point (18-,8) then, that point must satisfy the equation of a line

the equation of the target line is  3y= -2x + 62

3(-8)= -2(18) + 62

(-24)= (-36) + 62

(-24)= (-36) + 62

(-24)= 26

Left land side is not equal to right hand side.

Therefore. a line does not pass through the point (18,-8)

5 0
3 years ago
Factorise this expression as fully as you can 12x^3-9x^2
musickatia [10]
Exponent rule added:

12xx^2 -9x^2

rewrite 9 as 3 x 3, rewrite 12 as 3 x 4

3 * 4xx^2 - 3 * 3x^2 ( * is multiply)

factor common terms:

3x^2(4x-3) - answer.
7 0
4 years ago
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