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inna [77]
3 years ago
11

Simplify: 2log2(8x)

Mathematics
1 answer:
dem82 [27]3 years ago
3 0
Answer is 0.124. I have to right more characters
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If the door to the library is at (2, 4), the door to the mall is at (8, 2), and one
guapka [62]

Answer:

6 miles

Step-by-step explanation:

The distance formula is expressed as;

D = √(x2-x1)²+(y2-y1)²

D = √(2-4)²+(8-2)²

D = √(-2)²+(6)²

D = √4 + 36

AD = √40

AD = 6.32

Hence the approximate distance between the library  and the mall is 6 miles

5 0
3 years ago
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
I need help with this
son4ous [18]
Hundreds: 7
tenths: 0
thousandths: 1

5 0
3 years ago
Find the approximate volume of a cylinder that has a radius of 4 inches and a height of 6 inches. Use 3.14 for Pie
sattari [20]
Answer: 301.44
Explanation:
V = πr^2•h

3.14•4^2 • 6
3 0
2 years ago
An equation and the steps to solve it are shown below:
Sphinxa [80]
S1: 7x - 4x - 2 = 6 OK
S2: 3x - 2 = 6 OK
S3: 3x - 2 + 2 = 6 WRONG, correct is 3x - 2 + 2 = 6 + 2

Answer: c. Step 3, because a number has been added only to one side of the equation.
6 0
3 years ago
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