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Arada [10]
3 years ago
10

I NEED HELP!!

Mathematics
2 answers:
yarga [219]3 years ago
8 0

Answer: True for all x

Step-by-step explanation:

4x - 6 + 2x = 3(2x-2)

Group Like Terms: 4x+2x - 6 = 3(2x-2)

Add Similar Elements (4x+2x=6x): 6x - 6 = 3(2x-2)

Expand: 3(2x-2) ; 6x - 6

6x - 6 = 6x - 6

Add 6 to Both Sides: 6x - 6 + 6 = 6x - 6 + 6t: 6x - 6x = 6x - 6x

Simplify: 6x = 6x

Subtract: 6x - 6x

Simplify: 0 = 0

Both sides are equal in this equation, therefore all values for x is true.

Hope This Helped, Have A Great Day!

Harrizon [31]3 years ago
3 0

it is true

Answer:

left hand side6+2x

6x-6

right hand side

3(2x-2)

6x-6

now

6x-6=6x-6

0=0

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Step-by-step explanation:

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5 0
3 years ago
The length of a rectangle is 12 inches longer than the width. Find the length and width if the perimeter is 184 inches.
solong [7]

Perimeter = 2l + 2w

Divide 184 by 4

184/4 = 46

Subtract by 6

46 - 6 = 40

Add by 6

46 + 6 = 52

The length is 52, and the width is 40.

We can verify by plugging these values into the original equation.

52*2 + 40*2 = 184

3 0
4 years ago
If
baherus [9]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Given: cos 330 = \frac{\sqrt3}{2}

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}

Proof LHS → RHS:

LHS                          cos 165

Double-Angle:        cos (2 · 165) = 2 cos² 165 - 1

                             ⇒ cos 330 = 2 cos² 165 - 1

                             ⇒ 2 cos² 165  = cos 330 + 1

Given:                        2 \cos^2 165  = \dfrac{\sqrt3}{2} + 1

                              \rightarrow 2 \cos^2 165  = \dfrac{\sqrt3}{2} + \dfrac{2}{2}

Divide by 2:               \cos^2 165  = \dfrac{\sqrt3+2}{4}

                             \rightarrow \cos^2 165  = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}

                             \rightarrow \cos^2 165  = \dfrac{2\sqrt3+4}{8}

Square root:             \sqrt{\cos^2 165}  = \sqrt{\dfrac{4+2\sqrt3}{8}}

Scratchwork:            \cos^2 165  = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2

                             \rightarrow \cos 165  = \pm \dfrac{\sqrt3+1}{2\sqrt2}

             Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

                             \rightarrow \cos 165  = - \dfrac{\sqrt3+1}{2\sqrt2}

LHS = RHS \checkmark

4 0
4 years ago
The question is "the numbers 4 and 9 both have the exactly three factors, Find two numbers more that have the exactly three fact
RSB [31]
Answer: 25 and 49

Explanation:

25: 1,5,25
49: 1,7,49
6 0
3 years ago
5/12-3/8 In Simplest form can someone please break it down so I can understand how to get the answer..
jeka94
To find 5/12-3/8, you have to find a common denominator. A common denominator of 12 and 8 could be 24. So, you multiply 5/12, both the numerator and the denominator by 2, which gives you 10/24. Then, you multiply 3/8 both by 3 to get the common denominator of 24. 3/8x 3 is 9/24. So, 10/24-9/24 is 1/24 because you only subtract the numerator and keep the denominator the same.
4 0
3 years ago
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