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3 years ago

4.9×108 in standard form?

Mathematics

2 answers:

frez [133]3 years ago

6 0

529.2 is the answer to the question

ICE Princess25 [194]3 years ago

4 0

Answer:

6.372

Step-by-step explanation:

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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).

KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

$2x^2-3x-6=0$

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

$2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}$

We have to find the value of (a+2)(b+2).

Putting the values:

$(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4$

3 0

3 years ago

Which expression is equivalent to 3+2?

vichka [17]

Answer:

Any expression that equals 5.

Step-by-step explanation:

3 + 2 = 5, so any expression that equals 5 is equivalent to 3+2.

8 0

3 years ago

The box office manager said about 5,000 people attended the show. Write a number that could be the actual attendance if he corre

IRINA_888 [86]

In the given mathematical value of 5,000 to round off this number to the nearest hundred, we can elaborate the number values using the expanded form to clearly see the order position: 1. 5,000 = thousands
Now we can observe the numerical value of 4,900 as the rounding number which becomes

4900 = 5000
4800 = 5000
4700 = 5000
4600 = 5000
4500 = 5000


7 0

3 years ago

Read 2 more answers

Find AC. Round to the nearest tenth. B 86° 16 С 11 A

Vadim26 [7]

Answer:

19.4

Step-by-step explanation:

16^2+11^2=377

then square 377 which will equal to

19.416 which can be rounded up to 19.4

6 0

3 years ago

How much of the sphere do you have to paint red so that no matter ow you put a cube in it, some corner touches red?

Triss [41]

Explanation:

To achive that you have to piant a ring in red, which will have its big diameter equal to the sphere diameter and its small diameter equal to the cube diagonal.

The diagonal of the cube can be calculated using Pithagoras:

$D^2=L^2+L^2$

Where D is the diagonal and L is the side of the cube

4 0

3 years ago