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2 years ago

The product of n and 6 divided by 4 in algebraic expression

Mathematics

1 answer:

Damm [24]2 years ago

8 0

Answer:

$6n \div 4$

Step-by-step explanation:

n is a variable and multiplied by 6, so it is attached to 6. (6 is known as the coefficient.) Then it is divided by 4. (4 is known as the constant because there is no variable attached to it.)

$6n \div 4$

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Carter draws one side of equilateral △PQR on the coordinate plane at points P(-3,2) and Q(5,2). Which ordered pair is a possible

Law Incorporation [45]

Step-by-step explanation:

Hey, there!!!

Let me simply explain you about it.

We generally use the distance formula to get the points.

let the point R be (x,y)

As it an equilateral triangle it must have equal distance.

now,

let's find the distance of PQ,

we have, distance formulae is;

$pq = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} }$

$or \: \sqrt{( {5 + 3)}^{2} + ( {2 - 2)}^{2} }$

By simplifying it we get,

$8$

Now,

again finding the distance between PR,

$pr = \sqrt{( {x2 - x1}^{2} + ( {y2 - y1)}^{2} }$

or,

$\sqrt{( {x + 3)}^{2} + ( {y - 2)}^{2} }$

By simplifying it we get,

$= \sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 }$

now, finding the distance of QR,

$qr = \sqrt{( {x - 5)}^{2} + ( {y - 2)}^{2} }$

or, by simplification we get,

$\sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

now, equating PR and QR,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13} = \sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

we cancelled the root ,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = {x}^{2} + {y}^{2} -10x - 4y + 29$

or, cancelling all like terms, we get,

6x+13= -10x+29

16x=16

x=16/16

Therefore, x= 1.

now,

equating, PR and PQ,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 } = 8}$

cancel the roots,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = 8$

now,

(1)^2+ y^2+6×1-4y+13=8

or, 1+y^2+6-4y+13=8

y^2-4y+13+6+1=8

or, y(y-4)+20=8

or, y(y-4)= -12

either, or,

y= -12 y=8

Therefore, y= (8,-12)

by rounding off both values, we get,

x= 1

y=(8,-12)

So, i think it's (1,8) is your answer..

Hope it helps...

3 0

3 years ago

Megan has a large packing box shaped as a cube with a volume of 216 cubic feet.

Flura [38]

Answer:

s = 6 feet

Step-by-step explanation:

Given that,

The volume of the cube, V = 216 feet³

We need to find the side length for the cubical box. We know that the volume of the cube is given by :

$V=s^3$ , s is the side length of the box.

So,

$s={V}^{1/3}\\\\s={216}^{1/3}\\\\s=6\ feet$

So, the side length for the cubical box is equal to 6 feet.

6 0

3 years ago

8x^3-22x^2-4 divided by 4x-3

MA_775_DIABLO [31]

The answer is 24 because 8 times 3 is 24

3 0

3 years ago

True or false square root 54 is close to 7?

antoniya [11.8K]

No it's over : 7.3 , unless your prompts context is close to as in getting there or close in general?

3 0

3 years ago

Read 2 more answers

El número que falta en (–15) × ____ × 8 × (–4) = –4320, es:

11Alexandr11 [23.1K]

Answer:

-9

Step-by-step explanation:

The missing number will be labeled as x.

-15*x*8*(-4)=-4320

480x=-4320

x=-9

5 0

1 year ago

The product of n and 6 divided by 4 in algebraic expression​

The product of n and 6 divided by 4 in algebraic expression