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Gwar [14]
3 years ago
7

Expan and simplify the following expression: 3(2a + 3)(2a - 1) - 4 (a^2 - 7)

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0
= 3(4a^2 + 4a - 3) - 4a^2 + 28
= 12a^2 + 12a - 9 - 4a^2 + 28
= 8a^2 + 12a + 19
= 4a(2a + 3) + 19
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On a blueprint, the scale says that 2 cm represents 3 m. What is the actual length of a wall if its measurement on the blueprint
Leokris [45]

Answer:

The actual length of the wall is 10.5 m

Step-by-step explanation:

Write and solve an equation of ratios to answer this question:

2 cm       3 m

--------- = ---------

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 7cm          L

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and then multiplying both sides by 3m:

21

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 2

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4 0
3 years ago
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3 years ago
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OleMash [197]

Answer:

3Fx + 3Gy = 3H\\Qx + Ry = S

Step-by-step explanation:

Given:

The system of equations given are:

Fx + Gy = H \\Qx + Ry = S

If an equation is multiplied by a number throughout, then the equation remains the same by multiplication property of equality. The multiplication property of equality says that if both sides of the equation is multiplied by the same number, then the new equation is equivalent to the previous equation.

For example: If x+y =2 is multiplied by 2 on both sides, then the new equation will be 2x+2y=4 which is equivalent to x+y =2 .

So, from among all the choices given, the first choice represents the above mentioned property. The equation Fx + Gy = H is multiplied by 3 on both sides. So, the equation 3Fx + 3Gy = 3H is equivalent to Fx + Gy = H.

The second equation Qx + Ry = S has not been changed. So, the equivalent system of equations to the given system is:

3Fx + 3Gy = 3H\\Qx + Ry = S

7 0
3 years ago
Read 2 more answers
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