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Nookie1986 [14]
2 years ago
5

7 (x+3) = 5x - 3 Explain ALL steps PLEASE

Mathematics
2 answers:
bagirrra123 [75]2 years ago
6 0

Answer:

x=−12

Step-by-step explanation:

Let's solve your equation step-by-step.

7(x+3)=5x−3

Step 1: Simplify both sides of the equation.

7(x+3)=5x−3

(7)(x)+(7)(3)=5x+−3(Distribute)

7x+21=5x+−3

7x+21=5x−3

Step 2: Subtract 5x from both sides.

7x+21−5x=5x−3−5x

2x+21=−3

Step 3: Subtract 21 from both sides.

2x+21−21=−3−21

2x=−24

Step 4: Divide both sides by 2.

2x

2

=

−24

2

x=−12

Answer:

x=−12

aliina [53]2 years ago
6 0

Answer:X=-12

Step-by-step explanation:Simplify both sides of the equation

7(x+3)=5x−3

(7)(x)+(7)(3)=5x+−3(Distribute)

7x+21=5x+−3

7x+21=5x−3

Subtract 5x from both sides

7x+21−5x=5x−3−5x

2x+21=−3

Subtract 21 from both sides

2x+21−21=−3−21

2x=−24

Divide both sides by 2

2x/2=-24/2

X=-12

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Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W
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Answer:

  • A. segment A double prime B double prime = segment AB over 2

Step-by-step explanation:

<u>Triangle ABC with coordinates of:</u>

  • A = (-3, 3), B = (1, -3), C = (-3, -3)

<u>Translation (x + 2, y + 0), coordinates will be:</u>

  • A' = (-1, 3), B = ( 3, -3), C = (-1, -3)

<u>Dilation by a scale factor of 1/2 from the origin, coordinates will be:</u>

  • A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)

<u>Let's find the length of AB and A''B'' using distance formula</u>

  • d = √(x2-x1)² + (y2 - y1)²
  • AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13
  • A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13

<u>We see that </u>

  • AB = 2A''B''

<u>Now the answer options:</u>

A. segment A double prime B double prime = segment AB over 2

  • Correct

B. segment AB = segment A double prime B double prime over 2

  • Incorrect. Should be AB = A''B''*2

C. segment AB over segment A double prime B double prime = one half

  • Incorrect. Should be AB/A''B'' = 2

D. segment A double prime B double prime over segment AB = 2

  • Incorrect. Should be A''B''/AB = 1/2
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