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emmasim [6.3K]
3 years ago
11

How many solutions can be found for the equation 3x - 2 = 3x + 5?

Mathematics
1 answer:
BartSMP [9]3 years ago
5 0

Answer:

A) Zero

Step-by-step explanation:

Equation: 3x - 2 = 3x + 5

Subtract: -2 = 5

<em>Contradiction: -2 ≠ 5</em>

Therefore, this equation has no solutions.

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Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the re
fiasKO [112]

Answer: R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}

Step-by-step explanation:

Given

Two forces of 9 and 13 lbs acts 38^{\circ} angle to each other

The resultant of the two forces is given by

\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}

Insert the values

\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb

Resultant makes an angle of

\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}

So, the resultant makes an angle of 22.57^{\circ} with 9 lb force

Angle made with 13 lb force is 38^{\circ}-22.57^{\circ}=15.43^{\circ}

7 0
3 years ago
Read 2 more answers
Mulitple choice math in picture please help
VARVARA [1.3K]
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3 0
3 years ago
Please help me with this please and thank you
rjkz [21]

Answer:

Alright so the answer is B but I'll explain why because im nice ig.

Step-by-step explanation:

So lets do some calcumalations.

We'll use 1 as n and should get an output of 3 to check these formulas. Since 1 is the first term and 3 is the first term value makes sense alright.

So 9^1-1 is 0 and any number to the 0 power is 1 so that wont work.

3(4)^1-1 = 3(1); that's the answer

4^1-1 = 1, + 3 = 4 so that wont work either

I hope this helps ya have a great afternoon

8 0
2 years ago
• Which expressions are equivalent to 14a + 286?
Sveta_85 [38]

Answer:

2(7a + 143)

what are the answers or are you asking us to find them

7 0
3 years ago
Which is the correct classification of 3/8
son4ous [18]
The correct classification is 3/8 in a proper fraction
8 0
3 years ago
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