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stiv31 [10]
3 years ago
11

Absolute Value Equation | -4 + 5x |= 16 Please show how to do the problem.

Mathematics
1 answer:
Gemiola [76]3 years ago
4 0
If you have |a|=b, solve a=b and a=-b

so
|-4+5x|=16
so solve
-4+5x=16 and -4+5x=-16
add 4 to both sides
5x=20 and 5x=-12
divide both sides by 5
x=4 and x=-12/5

the 2 solutions are x=-12/5 and x=4
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A line segment has endpoints (-5, 10) and (a,b) . If the midpoint of the segment is (13, -2), what is the absolute difference be
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If the line segment point is D(-5, 10) and E(a,b) and the  midpoint of the segment is F(13, -2) that mean 
DE= 2*DF

You can directly find the distance of AC 
Xdf= Xf-Xd= 13 - (-5)= 18
Ydf= Yf - Yd= -2 - 10= -12

Then add the distance of AB( which is 2*AC) to point D
Xe= a = Xd + 2*Xdf 
a= -5 +2*18= 31

Ye= b = Yd + 2Yf
b= 10+ 2*-12= -14

<span>absolute difference between a and b:
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Step-by-step explanation:

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Make B the subject of the relation : 1/a is equal to 1/b + c​
stealth61 [152]

Answer:

By making ‘a’ the subject, I believe you mean isolate the variable ‘a’.

1/a - 1/b = 1/c : add 1/b to both sides

1/a = 1/b + 1/c : combine the unlike fractions by finding a common denominator, bc is the common denominator

1/a = (1/b)(c/c) + (1/c)(b/b) : simplify

1/a = (c/bc) + (b/bc) : add numerators only, because the denominators match

1/a = (c + b)/bc : multiply both sides by a

1 = (a)[(c + b)/bc] : multiply both sides by the reciprocal of [(c + b)/bc] which is [bc/(b + c)]

1[bc/(b + c)] = a

a = bc/(b + c)

This will not work if c = -b, because then you would be dividing by zero.

Example: 1/2 - 1/3 = 1/6 a = 2, b = 3 c= 6

a = bc/(b + c) => 2 = (3 x 6)/(3 + 6) => 2 = 18/9 => 2 = 2.

Step-by-step explanation:

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