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Vilka [71]
2 years ago
14

3z + 6 (m-5) =-48 solve for z

Mathematics
2 answers:
Troyanec [42]2 years ago
4 0

Answer:

z=2m+6

Step-by-step explanation:

3z+6(m-5)=-48\\6(m-5)+48=3z\\6m-30+48=3z\\6m+18=3z\\

\frac{6m+18}{3} =\frac{3z}{3}

2m+6=z

deff fn [24]2 years ago
3 0

Answer:

<u>z = -2(m + 3)</u>

Step-by-step explanation:

Given :

  • 3z + 6(m - 5) = -48

Divide throughout by 3 :

  • 1/3 x (3z + 6(m - 5)) = -48 x 1/3
  • z + 2(m - 5) = -16

Subtract 2(m - 5) on each side :

  • z + 2(m - 5) - 2(m - 5) = -16 - 2(m - 5)
  • z = -16 - 2(m - 5)

Simplify the RHS :

  • z = -16 - 2m + 10
  • z = -2m - 6
  • <u>z = -2(m + 3)</u>

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Step-by-step explanation:

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A billboard designer has decided that a sign should have 3 ft margins at the top and bottom and 5 ft margins on the left and rig
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Answer:

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Step-by-step explanation:

• The total width of billboard is [x]. Therefore the width of printed area will be (x-10) by excluding margin of left and right side.

• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)]  by excluding the margin of top and bottom from the total height.

• To find the printed area of billboard calculations are given below:

& 9000=xy

& y=\frac{9000}{x} \\  & A=(x-10)(y-6) \\  & A=xy-6x-10y+60 \\  & A=x\left( \frac{9000}{x} \right)-6x-10\left( \frac{9000}{x} \right)+60 \\  & A=9060-6x-\frac{9000}{x} \\

On taking the first order derivative of A

\[A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)\]

& \left( \frac{90000}{{{x}^{2}}} \right)-6=0 \\          & 6{{x}^{2}}=90000 \\          & x=\sqrt{15000} \\          & y=\frac{9000}{x}=\frac{90000}{\sqrt{15000}}=10\sqrt{150} \\

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Learn More about Differentiation Here:

brainly.com/question/13012860

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Blank 1: Given

Blank 2 : AD is parallel to BC

Blank 3: <3≅<2

Blank 4: Transitive property of convergence

Blank 5: Definition of Bisect

Step-by-step explanation:

We need to fill in the blanks from the given options.

Blank 1:

ABCD is a parallelogram

This is given

So, blank 1: Given

Blank 2:

A parallelogram have parallel sides i.e in the given parallelogram AD is parallel to BC and AB is parallel to DC

So, Blank 2 : AD is parallel to BC

Blank 3:

We are given <3≅<2

So, Blank 3: <3≅<2

Blank 4:

We know, <1≅<3 and <3≅<2 using transitive property (A≅B and B≅C then A≅C)

So, <1 ≅ <2 is due to transitive property of convergence

Blank 4: Transitive property of convergence

Blank 5:

DC bisects <ADE

A bisect is an line or angle that divides into exactly two parts.

So, Blank 5: Definition of Bisect

Keywords: parallelogram, bisection

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