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kap26 [50]
3 years ago
8

Solve each absolute value equation and chose The correct answer from the choices provided |x|+5=18

Mathematics
1 answer:
Kamila [148]3 years ago
3 0

Solve the absolute value equation.

First subtract 5 from both sides.

|x|+5=18

|x|=13

If the absolute value of x is 13 that x equals 13 and -13. Absolute value means distance from 0.

x=13,-13

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If f(x) = x^2 - 2x and g(x) = 6x + 4, for what value of x does (f + g)(x) = 0?
larisa86 [58]

Answer:

x = -2

Step-by-step explanation:

f(x) =x^2 -2x\:\: and \:\: g(x) = 6x + 4\\(f+g)(x) = f(x) + g(x) \\(f+g)(x) = x^2 -2x+ 6x + 4\\(f+g)(x) = x^2+4x + 4\\(f+g)(x) = (x+2)^2\\ 0 = (x+2)^2...[\because (f+g)(x) =0]\\0 = x+2\\\therefore x = -2

6 0
3 years ago
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3 years ago
what is the distance between the points (4, 5) and (10, 13) on a coordinte plane a. 12 units b. 8 units c. 10 units d. 14 units
qaws [65]

Answer:

<h2>10 units</h2>

Option C is the correct option

Step-by-step explanation:

Let the points be A and B

A ( 4 , 5 ) ------> ( x1 , y1 )

B ( 10 , 13 ) ------> ( x2 , y2 )

Now, let's find the distance between these points:

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= \:  \sqrt{(10 - 4) ^{2} +  {(13 - 5)}^{2}  }

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=  \sqrt{ {(6)}^{2} +  {(8)}^{2}  }

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=  \sqrt{36 + 64}

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=  \sqrt{100}

Write the number in exponential form with. base of 10

=  \sqrt{ {(10)}^{2} }

Reduce the index of the radical and exponent with 2

= 10 \: units

Hope this helps..

Best regards!!

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Step-by-step explanation:

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alina1380 [7]

224/5= 44.8

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3 years ago
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