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3 years ago

Write the equation in general form. x^2 +6x = -2

Mathematics

1 answer:

Anastaziya [24]3 years ago

3 0

Answer:

x^2 + 6x + 2 = 0

Step-by-step explanation:

Just add 2 to both sides, obtaining x^2 + 6x + 2 = 0; this is in "general form" for a quadratic equation.

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What two numbers can add to 4 but multiple to -12

olasank [31]

Answer:

<em>Numbers: 6 and -2</em>

Step-by-step explanation:

<u>Equations</u>

This question can be solved by inspection. It's just a matter of factoring 12 into two factors that sum 4. Both numbers must be of different signs and they are 6 and -2. Their sum is indeed 6-2=4 and their product is 6*(-2)=-12.

However, we'll solve it by the use of equations. Let's call x and y to the numbers. They must comply:

$x+y=4\qquad\qquad [1]$

$x.y=-12\qquad\qquad [2]$

Solving [1] for y:

$y=4-x$

Substituting in [2]

$x(4-x)=-12$

Operating:

$4x-x^2=-12$

Rearranging:

$x^2-4x-12=0$

Solving with the quadratic formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

With a=1, b=-4, c=-12:

$\displaystyle x=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-12)}}{2(1)}$

$\displaystyle x=\frac{4\pm \sqrt{16+48}}{2}$

$\displaystyle x=\frac{4\pm 8}{2}$

The solutions are:

$\displaystyle x=\frac{4+ 8}{2}=6$

$\displaystyle x=\frac{4- 8}{2}=-2$

This confirms the preliminary results.

Numbers: 6 and -2

7 0

3 years ago

What is a rule that describes the translation

uranmaximum [27]

Answer:

every point of the object must be moved in the same direction

Step-by-step explanation:

each point the same distance horizontally and the same distance vertically.

7 0

2 years ago

Determine the constant of proportionality in each of the representations below.

cluponka [151]

Answer:

Pretty sure is 15

Step-by-step explanation:

90 divided by 6 is 15.

7 0

2 years ago

Read 2 more answers

Is 944544 divisible by 10?

Aliun [14]

Answer:

yes it is 944544 divided by 10= 94454.4

Step-by-step explanation:

pls give brainliest

6 0

2 years ago

Read 2 more answers

A triangle has one side that measures 12 inches and another side that measures 33 inches. Which are possible side lengths of the

In-s [12.5K]

Answer:

Greater than 21

Less than 45

Step-by-step explanation:

You add and subtract the two numbers you are given.

33 - 12 = 21

The third side has to be bigger than 21.

33 + 12 = 45

The third side has to be less than 45.

It can be written in one math sentence:

21 < x < 45

5 0

2 years ago