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3 years ago

Writa an equivalent expression for 5(2x + y - 3z) by modeling and by using the distributive property.

Mathematics

1 answer:

Vitek1552 [10]3 years ago

6 0

Simplifying

2x + -1y + -3z = 5

Solving

2x + -1y + -3z = 5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'y' to each side of the equation.

2x + -1y + y + -3z = 5 + y

Combine like terms: -1y + y = 0

2x + 0 + -3z = 5 + y

2x + -3z = 5 + y

Add '3z' to each side of the equation.

2x + -3z + 3z = 5 + y + 3z

Combine like terms: -3z + 3z = 0

2x + 0 = 5 + y + 3z

2x = 5 + y + 3z

Divide each side by '2'.

x = 2.5 + 0.5y + 1.5z

Simplifying

x = 2.5 + 0.5y + 1.5z

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ratelena [41]

Answer:

Verify x+y+z)=(x+y)+z for the following values of x,y,z

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iv)x=; - 3/5, y = - 7/10, z = - 8/15 To Verify x+(y+z)=(x+y)+z (i)x=3/4,y=5/6,z=-7/8 LHS = 3/4 + (5/6 + (-7/8)) = (3/4) + (5/6 -7/8)= (3/4) + ((20-21)/24) = 3/4 - 1/24 =(18-1)/24 = 17/24

RHS = (3/4 + 5/6) + (-7/8)= (9 + 10)/12 - 7/8 = 19/12-7/8 = (38-21)/24 = 17/24

LHS = RHS = 17/24 (ii) * x = 2/3, y = - 5/6, z = - 7/9 LHS = 2/3 + (-5/6+ (-7/9) = 2/3 + (-5/6 - 7/9) = 2/3 + (-29/18) = 2/3 - 29/18

= 12/18 - 29/18 = -17/18

RHS = (2/3 + (-5/6))+(-7/9) = (2/3 - 5/6) - 7/9 = (-1/6) - 7/9 = -1/6 - 7/9 = -3/18 - 14/18 =

-17/18

LHS = RHS....

Hence verified..

Step-by-step explanation:

hope it helps u no notebook

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4 0

3 years ago

Which of the following is the solution to the equation 25^(z - 4) = 125 ? Select one: A. z = 5.5. B. z = 3.5. C. z = -2.5. D. z

Bogdan [553]

A. z=5.5
25^(5.5-4)=125
25^(1.5)=125
125 = 125
z=5.5

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3 years ago

Read 2 more answers

Slope = 1/2 goes through (2,6)

Darina [25.2K]

I’m not sure what the question is but I’m just gonna assume that you need the equation: y=1/2x+5

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3 years ago

Need help ASAP will mark brainliest

nalin [4]

Answer:

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Step-by-step explanation:

A sketch can convince you that BC is a transversal perpendicular to parallel lines AB and CD. The question asks for an equation for CD, so we just need to write the equation of a line through D that is parallel to AB.

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_____

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3 years ago

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Step-by-step explanation: Please find the attached files for the solution

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