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2 years ago

9

The number -3 can be classified as which of the following? A. an integer B. a rational number C. a real number D. all of the abo

ve

1 answer:

Tamiku [17]2 years ago

7 0

It can be classified as all of the above

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Solving Quadratic Equations using the Square Root Property

Afina-wow [57]

Answer:

$x = -2$ or $x = -5$

Step-by-step explanation:

You need to complete the square before you can take the square root of both sides.

$x^2 + 7x + 10 = 0$

Subtract 10 from both sides.

$x^2 + 7x = -10$

To complete the square, you need to add the square of half of the x-term coefficient to both sides.

The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.

$x^2 + 7x + \dfrac{49}{4} = -10 + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = -\dfrac{40}{4} + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = \dfrac{9}{4}$

Now we use the square root property, if

$x^2 = k$ , then

$x = \pm \sqrt{k}$

$x + \dfrac{7}{2} = \pm \sqrt{\dfrac{9}{4}}$

$x + \dfrac{7}{2} = \pm \dfrac{3}{2}$

$x + \dfrac{7}{2} = \dfrac{3}{2}$ or $x + \dfrac{7}{2} = -\dfrac{3}{2}$

$x = -\dfrac{4}{2}$ or $x = -\dfrac{10}{2}$

$x = -2$ or $x = -5$

5 0

3 years ago

Mary has $267 in her checking account . She writes checks for $33,$65 and 112. What is the balance in her account now ?

natulia [17]

Answer:

57

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

kolezko [41]

Answer:

6

Step-by-step explanation:

I pretty sure that its 6 if nt sorry

7 0

2 years ago

What is the volume of the following rectangular prism below?

Yakvenalex [24]

28 units cubed I believe to be the right answer

4 0

3 years ago

Two dice are tossed what is the probability of obtaining a sum greater than 6

katrin2010 [14]

7/12 because it would come out to be 21/36, and the simplified version of that is 7/12<span />

5 0

2 years ago