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Alex787 [66]
4 years ago
5

Solve these equations |x+1/2|= 3 |x-3|=5 6/7 |3x+7|=5

Mathematics
1 answer:
just olya [345]4 years ago
6 0
The First one is: x = 5/2  or  x = -7/2


The Second one is: x = 62/7  or  x = -20/7 


The Third one is: x = -2/3  or  x = -4
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Consider an airplane heading due east at 150 miles/hour relative to the air. The wind is blowing at 7.1 miles/hour at 45º south
sergij07 [2.7K]

We have

<span>Va(airplane)=150  East</span>

Vw(wind)=7.1 South East

<span>
</span><span>resulting vector R</span>

airplane

Vax=150    Vay=0   it only has component x 


Wind
Vwx=7.1*cos45=5.02

Vwy=7.1*sin45=-5.02 is negative because is South direction

 |R|=(Rx^2+Ry^2) ^0.5

Rx=150+5.02=155.02

Ry=0-5.02=-5.02

<span>|R|=155.10 miles/hour South East</span>

Determine angle θ

Rx=R*cos(θ)

<span>Cos(θ)=Rx/R</span> <span>Cos(θ)=155.02/155.10=0.9995</span>

 θ =arc cos Rx/R θ =1.8119 º

 Rx represents the component in the East direction of the resultant force. Your contribution is given by both, the force of the plane and the wind. The contribution of the wind makes the airplane's speed greater

 Ry represents the component in the South direction of the resulting force Its contribution is exclusive of the wind since the airplane has no component in this direction

 |R| the force resulting from the combined action of the force of the plane and the force of the wind

 θ represents the angle that forms the resultant force with respect to the x axis or east direction

5 0
3 years ago
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Factor: x^2 - 8x + 16
Mazyrski [523]
X^2-8x+16= (x-4)^2 because -4 and -4 add to -8 but multiply to 16. Hope that helped.
3 0
4 years ago
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Write an equation in slope-intercept form of a line that passes through the point
steposvetlana [31]

Answer:

y=-4x+2

Step-by-step explanation:

slope intercept form: y=mx+b

parallel lines have the same slope (-4 in this case)

plug in the point (0,2) to the new equation y=-4x+b

2=-4(0)+b  --> b=2

final answer: y=-4x+2

3 0
3 years ago
At a restaurant your family spends $45.00 on lunch. If they want to leave a 15%
Valentin [98]

Answer:

6.75

Step-by-step explanation:

hope it helps mark as brainliest

6 0
3 years ago
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Add or Subtract.<br> (−2^2 − 4 + 13) + (12^2 + 2 − 25)<br><br> (7^2 + 4 − 26) − (−7^2 − 3 + 15)
aleksklad [387]

Here is your answer

1. (−2^2 − 4 + 13) + (12^2 + 2 − 25)

= (4-4+13)+ (144+2-25)

[Note:- -2^2=(-2×-2)= +4]

= 13+ (146-25)

=13+121

= 134

2. (7^2 + 4 − 26) − (−7^2 − 3 + 15)

= (49+4-26) - (49-3+15)

= 49 +4 -26 -49 +3 -15

= 7-41

= -34

HOPE IT IS USEFUL

6 0
3 years ago
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