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Dennis_Churaev [7]
2 years ago
15

The steps to derive the quadratic formula are shown below:

Mathematics
2 answers:
prohojiy [21]2 years ago
7 0

Answer:

\huge\boxed{\sf Option \ B}

Step-by-step explanation:

<h3>Step 3:</h3>

\displaystyle x^2+\frac{bx}{a} =\frac{-c}{a} --------------------(1)

<h3>The next step will be:</h3>
  • to find the b² for the expression on the left.
<h3>How to find b²:</h3>

Take the expression

\displaystyle x^2 + \frac{bx}{a}

<u>We can also write it as:</u>

\displaystyle (x)^2 + 2(x)(\frac{b}{2a} )

According to the formula a^2+2ab+b^2, the b of this expression is \displaystyle \frac{b}{2a}. So,

b² will be:

\displaystyle =(\frac{b}{2a} )^2\\\\=\frac{b^2}{4a^2}

So, we will add \displaystyle \frac{b^2}{4a^2} to both sides in Eq. (1)

For STEP 4, the equation will become:

\displaystyle x^2+\frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-c}{a} + \frac{b^2}{4a^2}

\rule[225]{225}{2}

kvv77 [185]2 years ago
5 0

Answer:

Below in bold.

Step-by-step explanation:

The next step is to divide b/a by 2 then square it and add to both sides.

This creates a perfect square quadratic on left side.

So the answer is :

x squared plus b over a times x plus quantity b over 2 times a all squared equals negative c over a plus quantity b over 2 times a all squared

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Write a description of the rule (x, y) = (x - 4, y + 3).
storchak [24]

9514 1404 393

Answer:

  translate 4 left and 3 up

Step-by-step explanation:

The value added to the x-coordinate is the translation to the right. Here, it is -4, so the translation is 4 units left.

The value added to the y-coordinate is the translation up. Here, it is +3, so the translation is 3 units up.

The rule effects a translation 4 units left and 3 units up.

4 0
3 years ago
5. While bird watching, Gabrielle saw 6 robins and 3 blue jays.
Semenov [28]

Answer:

Neither. They both saw the same amount of birds.

Step-by-step explanation:

Gabrielle saw 9 birds, but so did Chase. 6+3 is 9. 3+6 is also 9. The commutative property of addition states that a+b=b+a.

4 0
4 years ago
Write a word problem for x/2+4=12
dezoksy [38]

Answer:

Four more than half a number is twelve

Step-by-step explanation:

Four more than half a number is twelve

5 0
3 years ago
What is the answer, Shelby made 5 quarts of juice for a picnic. How many cups of juice did shelby make?
Anvisha [2.4K]

Given, Shelby made 5 quarts of juice for a picnic.

We know that 1 quart of juice = 4 cups of juice.

Here we will have to convert 5 quarts to cups.

As for 1 quart there are 4 cups, to find 5 quarts we have to multiply 4 times 5.

So 5 quarts of juice = (4)(5) cups of juice.

We know that, (4)(5) = 20

5 quarts of juice = 20 cups of juice.

We have got the required answer here.

Shelby made 20 cups of juice there in the picnic.


7 0
3 years ago
Read 2 more answers
What is the value of b if-7 +b=-8
Semmy [17]

Answer : b= -1

just move -7 to the right side of the equal sign so you will know what b equals. So now -7 is a postive number ( 7)  -8+7 = -1

so B= -1

4 0
3 years ago
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