All categories

2 years ago

Apply the distributive property to factor out the greatest common factor. 45e -27f

Mathematics

2 answers:

mojhsa [17]2 years ago

8 0

Answer:

9 (5e - 3f)

Step-by-step explanation:

45e -27f

45e = 9*5*e

27f = 9*3*f

The common factor is 9

9*5*e - 9*3*f

9 (5e - 3f)

son4ous [18]2 years ago

5 0

Answer:

Step-by-step explanation:

(9)(5e) - (9)(3f)

9(5e - 3f)

You might be interested in

Calculate the factorization 16w^2+48w+36=(4w+[1])^2

stiv31 [10]

Answer:

[1] = 6

x = -3/2 is the root

Step-by-step explanation:

A perfect square trinomial is of the form ...

(a + b)² = a² +2ab +b²

You have ...

a²=16w² ⇒ a = 4w
b² = 36 ⇒ b = 6
2ab = 2(4w)(6) = 48w

Then the factorization is ...

16w² +48w +36 = (4w +6)²

This will be zero when x = -6/4 = -3/2.

3 0

2 years ago

Rationalise the denominator <br>

Margaret [11]

Step-by-step explanation:

1. $\frac{2 \sqrt{3} }{ \sqrt{5} }$

multiply

$\sqrt{5}$

do both the numerator and denominater

$\frac{2 \sqrt{3} }{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } = \frac{2 \sqrt{15} }{ \sqrt{25} } = \frac{2 \sqrt{15} }{5}$

8 0

2 years ago

<img src="https://tex.z-dn.net/?f=3x%20-%202y%20%3D%2043x%20%2B%202y%20%3D%208" id="TexFormula1" title="3x - 2y = 43x + 2y = 8"

den301095 [7]

3x - 2y = 8 +

===》 46x = 16

43x + 2y = 8

x = 16/46

x = 8/23

______________________________

3x - 2y = 8

3(8/23) - 2y = 8

24/23 - 2y = 8

2y = 24/23 - 8

y = 12/23 - 4

y = 12/23 - 92/23

y = - 80/23

5 0

1 year ago

What is 90ft/h=yd/min

timurjin [86]

Answer:

0.5 yd/min

Step-by-step explanation:

30yd/60min

= 0.5 yd/min

Any questions please just let me know!!

5 0

2 years ago

Read 2 more answers

How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2. X 2 6x – 4y = –10 one

nordsb [41]

The system of equations provides a unique solution(one solution) at (-0.6, 1.6).

<h2>Given to us,</h2>

$y=\dfrac{2}{3}x+2$
$6x-4y=-10$

<h3>Equation 2</h3>

As we already have the value of y from equation 1, substitute its value in equation 2,

$6x-4y=-10$

$6x-4(\dfrac{2}{3}x+2)=-10$

$6x-\dfrac{8}{3}x-8=-10$

$\dfrac{6x}{1}-\dfrac{8}{3}x=-10+8$

$\dfrac{6x\times 3}{1\times 3}-\dfrac{8}{3}x=-2$

$\dfrac{18x-8x}{3}=-2$

$10x=-6\\$

$x=\dfrac{-6}{10} \\\\x=-0.6$

<h3>Equation 1,</h3>

$y=\dfrac{2}{3}x+2$

substitute the value of x in equation 1,

$y=\dfrac{2}{3}(\dfrac{-6}{10})+2\\\\y = \dfrac{-2}{5}+2\\\\y= \dfrac{-2+10}{5}\\\\y = \dfrac{8}{5}\\\\y=1.6$

As we can see the system of equations provides a unique solution(one solution) at (-0.6, 1.6).

Learn more about the system of equations:

brainly.com/question/12895249

3 0

2 years ago