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marin [14]
3 years ago
14

Given: 10-x+3x=-4(x-4) prove: x=1 and i have to use proofs for each step ex:division property​

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
7 0

Answer:

10+x+3x=-4(x-4)

10+2x=-4x+16

collect like-terms

2x+4x=16-10

6x=6

divide both by 6 to find the value of x

therefore, x is equal to 1

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Which linear function represents the line given by the point slope equation y + 7= 2/3(x+6)
Andrews [41]

Hello from MrBillDoesMath!

Answer:   f(x) =   (2/3)*x -3   -- which is not a provided answer..


Discussion:


We are given that y + 7 = (2/3) * (x + 6). Multiply out the right hand side:


y + 7 = (2/3) * x + (2/3) * 6 = (2/3) *x + 12/3

        =   (2/3)*x + 4


Subtract 7 from both sides:

y + 7 - 7 = (2/3)*x + 4 - 7

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Thank you,

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3 years ago
Complete the square to the problem X^2+6x-16=0
marishachu [46]

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<h2>x = -8 or x = 2</h2>

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(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\-------------------------------\\\\x^2+6x-16=0\qquad\text{add 16 to both sides}\\\\x^2+6x=16\\\\x^2+2(x)(3)=16\qquad\text{add}\ 3^2\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=16+3^2\\\\(x+3)^2=16+9\\\\(x+3)^2=25\Rightarrow x+3=\pm\sqrt{25}\\\\x+3=-5\ \vee\ x+3=5\qquad\text{subtract 3 from both sides}\\\\\boxed{x=-8\ \vee\ x=2}

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4 years ago
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