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ludmilkaskok [199]
3 years ago
6

Andy is solving a quadratic equation using completing the square. If a step in the process results in 169/9 = (x – 6)2, could th

e original quadratic equation be solved by factoring? Explain your reasoning.
Mathematics
2 answers:
natta225 [31]3 years ago
8 0
Yes the equation can be solved by factoring. Using the given equation take the square root of both sides. Both 169 and 9 are perfect squares so the left side becomes plus or minus 13/3 which is rational. Six plus 13/3 is also a rational number. If the solutions of a quadratic equation are rational then the equation is factorable. Please mark a good rating and brainlest
svp [43]3 years ago
3 0

Both169 and 9 are perfect squares.

The square root of 169/9 is rational.

Six plus 13/3 is a rational number, and 6 minus 13/3 is also a rational number.  

If the solutions of a quadratic equation are rational, then the equation is factorable.

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kipiarov [429]

Answer:

C=75.36

A=452.16

Step-by-step explanation:

C=2x3.14xr

2×\pi×12=75.36

A=3.14×r^{2}

3.14x12x12=452.16

5 0
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18+(-4)-2/5j-4/5j+5? what is the answer
Serga [27]

Answer:

19 6j/5

Step-by-step explanation:

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2 years ago
What would 4(2+x)=18-x equal
matrenka [14]

Answer:

x=2

Step-by-step explanation:

4( 2+x) = 18-x

8 + 4x = 18 - x

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3 years ago
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Ivahew [28]

Answer:

<em>2 1/3, 2 1/4, 2 3/7</em>

Step-by-step explanation:

<u>Mixed Fractions</u>

Mixed fractions are made of an integer part followed by a proper fraction.

Some examples of mixed fractions are:

3 1/2, -4 5/8, 2 2/3

Between two consecutive integers a and a+1, there are infinitely many fractions. The centered number is a 1/2. Any number with its improper fraction part less than 1/2 is closer to a than to a+1.

In our problem, Jayne bought between 2 and 3 pounds of granola. We need to provide a mixed number that is closer to 2 pounds than to 3 pounds.

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2 years ago
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professor190 [17]

Answer: V=234\ yd^3

Step-by-step explanation:

By definition, the volume of a rectangular prism can be calculated with the following formula:

V=lwh

Where "l" is the length, "w" is the width and "h" is the height of the rectangular prism.

In this case, you can identify that the length, the width and the height of this rectangular prism given in the exercise, are:

l=13\ yd\\\\w=6\ yd\\\\h=3\ yd

Then, knowing its dimensions, you can substitute them into the formula:

V=(13\ yd)(6\ yd)(3\ yd)

Finally, evaluating, you get that the volume of that rectangular prism is:

V=234\ yd^3

8 0
3 years ago
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