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2 years ago

Which expression is equivalent to the expression below? 3x+5(x+2)

Mathematics

1 answer:

borishaifa [10]2 years ago

5 0

<h3>Answer:</h3>

<h3>Explanation:</h3>

$3x + (5 \times x) + (5 \times 2)$

$3 x + 5x + 10$

$(3 + 5)x + 10$

$8x + 10$

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Check whether 7+3x is a factor of 3x^3+7x

BartSMP [9]

Answer:

Step-by-step explanation:

refer to picture for solution

3 0

2 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 !

8 0

2 years ago

Solve for x. 21x + 11 - 5 = 5

Reil [10]

Answer:

x= -1/21

Step-by-step explanation:

21x + 11 - 5 = 5

21x + 6 = 5

(-6 each side)

21x = -1

(divide 21 each side)

x= -1/21

3 0

2 years ago

Read 2 more answers

What is the equation, in slope-intercept form, of the line

Roman55 [17]

Y= 1/8 x + 10

You do 8-11/-16-8= -3/-24= 1/8 that’s your slope

Then to get y intercept you plug in ur slope and coordinates of (8,11) into point slope form. And you get that the y intercept is 10.

7 0

2 years ago

Help plz. Ignore the orange around the choice.

VMariaS [17]

Answer:

May I suggest -11

Step-by-step explanation:

4 0

2 years ago