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Sergeu [11.5K]
2 years ago
15

Combine like terms and write an equivalent expression with fewer terms for 4x+3x.

Mathematics
1 answer:
e-lub [12.9K]2 years ago
7 0

Answer:

7x

Step-by-step explanation:

By combining like terms, which is 4x and 3x, we get 7x.

4x + 3x = 7x

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(3cosx-4sinx) + (3sinx+4cosx) = 5
Ksenya-84 [330]
(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0

Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º      (360º-53.13º=306.87)

sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º

The solutions when  0≤x≤360º are:  36.87º and 306.87º.


3 0
2 years ago
I need help now btw i am in middle school
vodomira [7]

Answer: x= 3

Step-by-step explanation:

2x + 5 = 11

2x = 6

x = 3

5 0
2 years ago
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What is what is 2000 * 3000​
elena-14-01-66 [18.8K]

Answer:

600,000

Step-by-step explanation:

5 0
3 years ago
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13 points pls help me quick
ValentinkaMS [17]

Answer:

Right Angles: C, F

Obtuse Angles: E, B

Acute Angles: A, D

Step-by-step explanation:

Right Angles are angles that are exactly 90 degrees.

Obtuse Angles are angles that are bigger than 90 degrees.

Acute Angles are angles that are smaller than 90 degrees.

5 0
3 years ago
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The number 6,492,000 when split into two number that when divided by 10 equal 6,492,000. what are the two numbers?
tamaranim1 [39]
If u use scientific notion the answer for the first one would be 10^8 the second one would be 10^11 and the last one would be 10^10
Hope that Helps >.< <span />
8 0
2 years ago
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