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Kobotan [32]
3 years ago
6

How is 6.3 written in scientific notation? 6.3 x 10° 63 x 10-1 6.3 x 102 63 x 10°

Mathematics
1 answer:
Alja [10]3 years ago
8 0

Answer:

6.3 x 10°

Step-by-step explanation:

6.3 can be written as 6.3 x 1

recall that anything to the power of zero = 1

hence 10° = 1 substitute this back into the expression above to get:

6.3

= 6.3 x 1

= 6.3 x 10°

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Verify that the roots of 5x²- 6x -2 = 0 are <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%20%2B%20%5Csqrt%7B19%7D%20%7D%7B5%7D%2
Mice21 [21]

Answer:

Proof below.

Step-by-step explanation:

<u>Quadratic Formula</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0

<u>Given quadratic equation</u>:

5x^2-6x-2=0

<u>Define the variables</u>:

  • a = 5
  • b = -6
  • c = -2

<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:

\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(5)(-2)}}{2(5)}

\implies x=\dfrac{6 \pm \sqrt{36+40}}{10}

\implies x=\dfrac{6 \pm \sqrt{76}}{10}

\implies x=\dfrac{6 \pm \sqrt{4 \cdot 19}}{10}

\implies x=\dfrac{6 \pm \sqrt{4}\sqrt{19}}{10}

\implies x=\dfrac{6 \pm2\sqrt{19}}{10}

\implies x=\dfrac{3 \pm \sqrt{19}}{5}

Therefore, the exact solutions to the given <u>quadratic equation</u> are:

x=\dfrac{3 + \sqrt{19}}{5} \:\textsf{ and }\:x=\dfrac{3 - \sqrt{19}}{5}

Learn more about the quadratic formula here:

brainly.com/question/28105589

brainly.com/question/27953354

3 0
1 year ago
Read 2 more answers
What are m∠1 and m∠2?
zaharov [31]

Answer:

B. <1 = 35, m<2 = 30

Step-by-step explanation:

To figure out m<1 I first need to figure out the other missing angle. A straight line is a 180 degree angle. Taking that information you can do 180 - 115. This means that the missing angle is 65 degrees. The interior angles of triangles always add up to 180.

80 + 65 = 145

180 - 145 = 35

<1 = 35

Repeat with the other side.

85 + 65 = 150

180 - 150 = 30

<2 = 30

Hope this helps!

5 0
1 year ago
Substitution for {2x-3y=11 and -x + 2y = -6
Svetradugi [14.3K]

Step-by-step explanation:

-x+2y=-6

x-2y=6

x=2y+6

substitute in 2x-3y=11 gives us 2(2y+6)-3y=11

4y+12-3y=11

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-x+2(-1)=-6

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3 years ago
The apothem is 3V3 units because it is
Reika [66]

Answer:

Opposite the 60-degree angle.

Step-by-step explanation:

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2 years ago
The cost of Samantha's 15th birthday party depends on the number guest. The hall charges $250 for the use of the hall plus $12 p
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Answer:

Equation: y=x(12)+250

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