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3 years ago

Expand and simplify

Mathematics

1 answer:

likoan [24]3 years ago

3 0

Answer:

5 $\sqrt{2}$ + $\sqrt{10}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Given

$\sqrt{5}$ ( $\sqrt{10}$ + $\sqrt{2}$ ) ← distribute

= $\sqrt{50}$ + $\sqrt{10}$

= $\sqrt{25(2)}$ + $\sqrt{10}$

= $\sqrt{25}$ × $\sqrt{2}$ + $\sqrt{10}$

= 5 $\sqrt{2}$ + $\sqrt{10}$

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If 5(3x-1)=55 what is the value of 2x-2

cricket20 [7]

Hey ! there

Answer:

Value of 2x - 2 is 6 .

Step-by-step explanation:

In this question we are provided with an equation that is 5 ( 3x - 1 ) = 55 and we are asked to find the value of 2x - 2 .

Firstly , we need to find the value of x . So we need to solve the equation .

SOLUTION : -

$\quad \longmapsto \qquad \: 5(3x - 1) = 55$

Step 1 : Dividing with 5 on both sides :

$\quad \longmapsto \qquad \: \dfrac{ \cancel{5}(3x - 1)}{ \cancel{5}} = \cancel{\dfrac{55}{5} }$

On cancelling , We get :

$\quad \longmapsto \qquad \:3x - 1 = 11$

Step 2 : Adding 1 on both sides :

$\quad \longmapsto \qquad \:3x - \cancel{1} + \cancel{1} = 11 + 1$

On simplifying , We get :

$\quad \longmapsto \qquad \:3x = 12$

Step 3 : Dividing with 3 on both sides :

$\quad \longmapsto \qquad \: \dfrac{ \cancel{3}x}{ \cancel{3}} = \cancel{ \dfrac{12}{3} }$

We get ,

$\quad \longmapsto \qquad \: \underline{\boxed{\frak{x = 4}}}$

→ Therefore , value of x is 4 .

Verifying : -

Now we are verifying whether our answer is wrong or right . So ,

5 ( 3x - 1 ) = 55

5 { 3( 4 ) - 1 } = 55

5 ( 12 - 1 ) = 55

5 ( 11 ) = 55

L.H.S = R.H.S

Hence , Verified .

Therefore , our value of x is correct/valid .

We need to find the value of 2x - 2 . 

 $\quad \longmapsto \qquad \:2x - 2$ 

So substituting value of x in it :

 $\quad \longmapsto \qquad \:2( \bold{4}) - 2$ 

Multiplying 2 with 4 : 

 $\quad \longmapsto \qquad \:8 - 2$ 

Subtracting 2 from 8 :

$\quad \longmapsto \qquad \: \blue{\underline{\boxed{\frak{6}}}} \quad \: \bigstar$

Henceforth, value of 2x - 2 is ❝ 6 ❞.

<h2>#Keep Learning</h2>

6 0

2 years ago

Read 2 more answers

Plz hurry!!! The scale on a map shows that 2 inches represents 15 miles. Which proportion can be used to find the actual

Wewaii [24]

Answer: 50

Step-by-step explanation:

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3 years ago

Find the area of this regular polygon (trigonometry) !!! Please and thank you !! Bogus answers reported

777dan777 [17]

If we join the Center with different corners of the polygon,we find 10 Isoceles triangle with equal side=9.14cm, Making an angle of 36° between the equal sides.

Area of 1 triangle= a*b*sinC/2
= 9.14*9.14*Sin36°/2
= 9.14*9.14*0.587/2
=24.51 cm^2

Area of 10 triangle= 24.51*10
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4 years ago

Please help please please

solniwko [45]

Answer: I believe his earnings would be 187$ once he teaches 7 classes.

Step-by-step explanation:

$187-$68=$111

17 x ? = 119

(take the 17$ which is the amount of money he'll earn each class and divide by 111. as seen below:

$111/17$=$6.5 (round to $7)

(you then plug in the 17 for 7 x ? = 119)

7x17=119

now you have to add the 68$ that he will get per month.

119+68=187

then you get 187$ which he had spent on the certificate

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4 years ago

Write the equation of the line in fully simplified slope-intercept form.

wlad13 [49]

The answer is Y=0.5x+1

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3 years ago