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3 years ago

You are given the

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

8 0

Answer:

1.→n=15

2.→n=0

Step-by-step explanation:

The two expressions given are

⇒A number is said to be rational if it can be expressed in the form of , where ,q≠0.And it's decimal expansion will be either terminating or non terminating repeating.

We have to find smallest value of n, for which each of these two expressions will be rational.

So, 1.→n=15

and 2.→n=0

Have a nice day! -Alpha

Step-by-step explanation: ;)

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Help me with this thank you

alexgriva [62]

(-36x^4y+144x²y^6) / (-4x²y) =
36xy*(x³+4xy^5) / (-4x²y) =
-9*(x³+4xy^5) / x

7 0

3 years ago

K is the midpoint of PQ, P has

Pachacha [2.7K]

Answer:

Coordinates of Q $(x_2,y_2) \:are\: \mathbf{(7,16)}$

Option D is correct option.

Step-by-step explanation:

We are given:

K is the midpoint of PQ

Coordinates of P = (-9,-4)

Coordinates of K = (-1,6)

We need to find coordinates of Q $(x_2,y_2)$

We will use the formula of midpoint: $Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

We are given midpoint K and $x_1,y_1$ the coordinates of P we need to find $x_2,y_2$ the coordinates of Q.

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(-1,6)=(\frac{-9+x_2}{2},\frac{-4+y_2}{2})\\$

Now, we can write

$-1=\frac{-9+x_2}{2}, 6=\frac{-4+y_2}{2}\\Simplifying:\\-2=-9+x_2\:,\: 12=-4+y_2\\-2+9=x_2\:,\: 12+4=+y_2\\x_2=7\:,\:y_2=16$

So, we get coordinates of Q $(x_2,y_2) \:are\: \mathbf{(7,16)}$

Option D is correct option.

6 0

3 years ago

In a graphing program, graph the following 4 functions in the same coordinate plane.

9966 [12]

See below for the changes when the exponential function is transformed

<h3>How to determine the effect of a</h3>

The exponential functions are given as:

$y = \sqrt x$

$y = 5\sqrt x$

$y = 14\sqrt{x$

$y = -2\sqrt{x$

An exponential function of the above form is represented as:

$y = a\sqrt{x$

See attachment for the graph of the four functions.

<u>When a is large</u>

This is represented by $y = 14\sqrt{x$

In this case, the curve of the base form $y = \sqrt x$ is vertically stretched and it moves closer to the y-axis

<u>When a is small</u>

This is represented by $y = 5\sqrt x$

In this case, the curve of the base form $y = \sqrt x$ is vertically stretched and it moves away from the x-axis

<u>When a is negative</u>

This is represented by $y = -2\sqrt{x$

In this case, the curve of the base form $y = \sqrt x$ is vertically stretched and is reflected across the y-axis.

Read more about function transformation at:

brainly.com/question/26896273

#SPJ1

5 0

2 years ago

What is an equation in point-slope form of the line that

-Dominant- [34]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

where

m is the slope

( x1 , y1) is the point

From the question the point is (-3, -1) and slope 2

The equation is

Hope this helps you

5 0

3 years ago

The figure shows two triangles with two pairs of congruent angles. If AC = 10 units, what is AD?

Oksanka [162]

Answer:

the Congruent triangles Two or more triangles that have the same size and shape are called congruent triangles.The four triangles are congruent with each other regardless whether they are rotated or flipped.The congruence of two objects is often represented using the symbol. △ABC △DEF.the lengths of the corresponding sides and measures of the corresponding angles do not have to be explicitly shown to indicate congruence.

Step-by-step explanation:

hope this helps if not please let me now

7 0

3 years ago