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3 years ago

What is the solution to the equation below? 4(3x + 5) = 5(x + 4) + 7x A infinite solutions OB no solution 0 со D 3

Mathematics

2 answers:

Anna35 [415]3 years ago

5 0

Answer:

Step-by-step explanation:

here you go mate

step 1

4(3x+5)=5(x+4)+7x equation

step 2

4(3x+5)=5(x+4)+7x simplify by distributing

12x+20=12x+20

step 3

12x+20=12x+20 subtract 12x

20=20

step 4

20=20 Divide

0=0

answer

all are real numbers

Alex787 [66]3 years ago

4 0

Answer: All Numbers Are Real Solutions (Note - Have An Amazing Day! :)

Comment If I'm Wrong!

Step-by-step explanation:

4(3x+5)=5(x+4)+7x

(4)(3x)+(4)(5)=(5)(x)+(5)(4)+7x

12x+20=5x+20+7x

12x+20=(5x+7x)+(20)

12x+20=12x+20

12x+20−12x=12x+20−12x

20=20

20−20=20−20

0=0

Answer: All real numbers are solutions

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Step-by-step explanation:

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3 years ago

If sinA=√3-1/2√2,then prove that cos2A=√3/2 prove that

Ivan

Answer:

$\boxed{\sf cos2A =\dfrac{\sqrt3}{2}}$

Step-by-step explanation:

Here we are given that the value of sinA is √3-1/2√2 , and we need to prove that the value of cos2A is √3/2 .

Given :-

• $\sf\implies sinA =\dfrac{\sqrt3-1}{2\sqrt2}$

To Prove :-

• $\sf\implies cos2A =\dfrac{\sqrt3}{2}$

Proof :-

We know that ,

$\sf\implies cos2A = 1 - 2sin^2A$

Therefore , here substituting the value of sinA , we have ,

$\sf\implies cos2A = 1 - 2\bigg( \dfrac{\sqrt3-1}{2\sqrt2}\bigg)^2$

Simplify the whole square ,

$\sf\implies cos2A = 1 -2\times \dfrac{ 3 +1-2\sqrt3}{8}$

Add the numbers in numerator ,

$\sf\implies cos2A = 1-2\times \dfrac{4-2\sqrt3}{8}$

Multiply it by 2 ,

$\sf\implies cos2A = 1 - \dfrac{ 4-2\sqrt3}{4}$

Take out 2 common from the numerator ,

$\sf\implies cos2A = 1-\dfrac{2(2-\sqrt3)}{4}$

Simplify ,

$\sf\implies cos2A = 1 -\dfrac{ 2-\sqrt3}{2}$

Subtract the numbers ,

$\sf\implies cos2A = \dfrac{ 2-2+\sqrt3}{2}$

Simplify,

$\sf\implies \boxed{\pink{\sf cos2A =\dfrac{\sqrt3}{2}} }$

Hence Proved !

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3 years ago

What is the solution to the equation below? 4(3x + 5) = 5(x + 4) + 7x A infinite solutions OB no solution 0 со D 3​

What is the solution to the equation below? 4(3x + 5) = 5(x + 4) + 7x A infinite solutions OB no solution 0 со D 3