All categories

3 years ago

Simplify the expression below. Show all steps. √4x^2 ÷ 3y

Mathematics

1 answer:

Delvig [45]3 years ago

4 0

Answer:

4x÷3y

Step-by-step explanation:

√4x^2 ÷ 3y

√16x÷3y

4x÷3y

Hoped it helped :)

You might be interested in

Jessie is saving up for a purse that is $890. She gets $8 allowance per week, and already has $80 saved up. How long will it tak

LekaFEV [45]

Answer:

101.25 weeks

Step-by-step explanation:

890-80=810

810/8=101.25

8 0

3 years ago

Passing through (-2,1 ) and perpendicular to 4x + 7y + 3 = 0.

Lunna [17]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

========================================

Let

$k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2$

========================================

We have the equation of a line in a general form (Ax + By + C = 0)

Convert it to the slope-intercept form:

$4x+7y+3=0$ subtract 7y from both sides

$4x+3=-7y$ divide both sides by (-7)

$-\dfrac{4}{7}x-\dfrac{3}{7}=y\to m_1=-\dfrac{4}{7}$

Therefore

$m_2=-\dfrac{1}{-\frac{4}{7}}=\dfrac{7}{4}$

We have the equation:

$y=\dfrac{7}{4}x+b$

Put the coordinates of the point (-2, 1) to the equation, and solve for b :

$1=\dfrac{7}{4}(-2)+b$

$1=-\dfrac{7}{2}+b$ multiply both sides by 2

$2=-7+2b$ add 7 to both sides

$9=2b$ divide both sides by 2

[te]x\dfrac{9}{2}=b\to b=\dfrac{9}{2}[/tex]

Finally:

$y=\dfrac{7}{4}x+\dfrac{9}{2}$ - slope-intercept form

Convert to the general form:

$y=\dfrac{7}{4}x+\dfrac{9}{2}$ multiply both sides by 4

$4y=7x+18$ subtract 4y from both sides

$0=7x-4y+18$

6 0

3 years ago

Identify the law illustrated by: 5n x 1 is the same as 5n

tangare [24]

The law illustrated is Distributive Law

This question is under a topic called algebra laws.

The laws are;

- Commutative law; This implies that when we are to add or multiply numbers, the order of addition or multiplication doesn't matter as we will still get same result.

- Associative law; This implies that if we want to add more than 2 numbers, if we decide to add the first 2 before adding the third one, we will still get the same result as if we added the second one to the third one before adding to the first one. This law also applies to multiplication.

- Distributive law; This implies that when two numbers are multiplied to produce a result, both numbers are factors of the result.

We are told in the question that ; 5n x 1 = 5n

This means that 5n and 1 are factors of 5n and this corresponds to distributive law

Read more at; brainly.in/question/39479409?tbs_match=1

7 0

2 years ago

What is the solution of this equation? 8p-8=-9(2p+5)-9(6-3p)

Sav [38]

8p-8=-9(2p+5)-9(6-3p)
p=91
I showed the work up there and checked

8 0

3 years ago

14 bands volunteered but 7 played. How many lineups?

ankoles [38]

Answer:

3432

Step-by-step explanation:

Total bands = 14

Bands played = 7

The possible lineups can be calculated using Combination.

So, the possible lineups are 14C7

=> $\frac{14!}{7!(14-7)!}$

=> 3432

8 0

3 years ago