All categories

4 years ago

Please helpUse numerals instead of words. If necessary, use / for the fraction

Mathematics

1 answer:

MakcuM [25]4 years ago

4 0

Answer:

Step-by-step explanation:

Factor and cancel common factors from numerator and denominator.

$\displaystyle\frac{2y^3-y^2+2y-1}{y^3-y^2+y-1}\times\frac{2y^2-3y+1}{4y^2-4y+1}\\\\=\frac{(y^2+1)(2y-1)\times (2y-1)(y-1))}{(y^2+1)(y-1)\times (2y-1)^2}=\frac{(y^2+1)(2y-1)^2(y-1)}{(y^2+1)(2y-1)^2(y-1)}\\\\=1$

You might be interested in

How to get estimate 1920

nika2105 [10]

Really to answer this questions you just have to round all the numbers.

8 0

3 years ago

The area of a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than

AURORKA [14]

The value of x is 6 cm.

Step-by-step explanation:

Given,

Area of rectangle = 56 cm

Length of rectangle = x+2

Width of rectangle = 2x-5

Area = Length * Width

$56=(x+2)(2x-5)\\56=2x^2-x-10\\0=2x^2-x-10-56\\2x^2-x-66=0$

Factorizing

$2x^2+11x-12x-66=0\\x(2x+11)-6(2x+11)=0\\(2x+11)(x-6)=0$

Either,

2x+11 = 0 => 2x=-11

Or,

x-6=0 => x=6

As x is added to dimension, it cannot be negative.

Therefore,

The value of x is 6 cm.

Keywords: rectangle, factorization

Learn more about factorization at:

#LearnwithBrainly

3 0

3 years ago

15x+3x+19= -17 please help me find this answer

masha68 [24]

Answer:

${ \rm{15x + 3x + 19 = - 17}} \\ \\ { \rm{18x + 19 = - 17}} \\ \\ { \rm{18x = - 17 - 19}} \\ \\ { \rm{18x = - 36}} \\ \\ { \boxed{ \rm{x = - 2}}}$

5 0

3 years ago

Read 2 more answers

(ii) factorize 9x^2 - y^2 + 4y - 4

Agata [3.3K]

Answer:

(3x - y + 2)(3x + y - 2).

Step-by-step explanation:

9x^2 - y^2 + 4y - 4

= 9x^2 - (y^2 - 4y + 4)

= 9x^2 - (y - 2)^2

= (3x - (y - 2))(3x + (y - 2)

= (3x - y + 2)(3x + y - 2).

4 0

3 years ago

Two horses are ready to return to their barn after a long workout session at the track. The horses are at coordinates H(1,10) an

lana [24]

Distance between points $\left(x_1,y_1\right)$ and $\left( x_2,y_2 \right)$ is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Distance from H to B:

$[tex]d=\sqrt{(10-(-3))^2+(1-(-9))^2}=\sqrt{169+100}=\sqrt{269}$ d=\sqrt{(1-(-3))^2+(10-(-9))^2}=\sqrt{16+361}=\sqrt{376}[/tex] units.

Distance from Z to B:

$d=\sqrt{(10-(-3))^2+(1-(-9))^2}=\sqrt{169+100}=\sqrt{269}$ units.

Horse Z is closer to the barn.

(The conversion to meters is not required; the question does not ask for actual distances, so "units" is OK.)

6 0

4 years ago

Please helpUse numerals instead of words. If necessary, use / for the fraction​

Please helpUse numerals instead of words. If necessary, use / for the fraction