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3 years ago

Divide 2y2 + 8 by 2y + 4. Which expression represents the quotient and remainder?

Mathematics

1 answer:

Anastasy [175]3 years ago

7 0

2y² + 8 ÷ 2y + 4 = $(y - 2) (\frac{16}{2y+4})$

Thus the quotient is y-2 and the remainder is 16.

View my working below in the attachment.

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What is the factored form of x2 − 4x − 5?

k0ka [10]

The answer would be D....

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3 years ago

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EL PERIMETRO DELCUADRADO X ES DOS TERCIOS DEL PERIMETRO DEL CUADRADO Y. EL UCADRADO Y ES DOS TERCIOS DEL PERIMETRO DEL CUADRADO

Keith_Richards [23]

<u>the question in English is</u>

THE SQUARE PERIMETER X IS TWO THIRDS OF THE SQUARE PERIMETER Y. THE PERIMETER OF THE SQUARE Y IS TWO THIRDS OF THE PERIMETER OF THE SQUARE Z. THE AREA OF THE SQUARE X IS 16 CM2 WHAT IS THE AREA OF THE SQUARE Z?

Let

Px--------> the perimeter of square x

Py--------> the perimeter of square y

Pz--------> the perimeter of square z

Ax--------> the area of square x

Az--------> the area of square z

Step 1

<u>Find the length side of the square x</u>

we know that

$Px=\frac{2}{3} Py$ -------> equation A

$Py=\frac{2}{3} Pz$ -------> equation B

$Ax=16\ cm^{2}$

$Ax=x^{2}$

$x^{2}=16$

$x=4\ cm$

Step 2

<u>Find the perimeter of square x</u>

$Px=4x$

substitute the value of x in the formula

$Px=4*4=16\ cm$

Step 3

<u>Find the perimeter of square y</u>

use the equation A

$Px=\frac{2}{3} Py$

solve for Py

$Py=\frac{3}{2} Px$

substitute the value of Px

$Py=\frac{3}{2}16=24\ cm$

Step 4

Find the perimeter of square z

use the equation B

$Py=\frac{2}{3} Pz$

solve for Pz

$Pz=\frac{3}{2} Py$

substitute the value of Py

$Pz=\frac{3}{2} 24=36\ cm$

Step 5

<u>Find the area of square z </u>

we know that

the area of the square z is equal to

$Az=z^{2}$

<u>Find the length side of square z</u>

$Pz=4z$

$Pz=36\ cm$

$4z=36$

$z=9\ cm$

substitute the value of z in the area's formula

$Az=9^{2}=81\ cm^{2}$

therefore

<u>the answer is</u>

the area of the square z is $81\ cm^{2}$

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3 years ago

Find the measure of a central angle that intercepts an arc of 3 inches in a circle whose radius is 8 inches.

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Answer:

option (A)

central angle = 0.375 rad

Step-by-step explanation:

Given in the question,

radius of the circle = 8 inches

arc of the circle = 3 inches

To find,

measure of a central angle

Central angles are subtended by an arc between those two points.

Formula to use:

<em>where r = radius </em>

<em> s = arc length </em>

<em> θ = angle in radians</em>

<em />

Plug in the values in the equation

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