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2 years ago

What is the rule for the pattern 1,5,17 missing number and 161?

Mathematics

1 answer:

kifflom [539]2 years ago

6 0

The pattern is you multiply by 3, and add 2, so the missing number would be 53

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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:

Quadratic Formula

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

Given quadratic equation:

$5x^2-6x-2=0$

Define the variables:

a = 5
b = -6
c = -2

Substitute the defined variables into the quadratic formula and solve for x:

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

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

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

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

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

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

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

Therefore, the exact solutions to the given quadratic equation are:

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

Learn more about the quadratic formula here:

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3 0

1 year ago

Read 2 more answers

The GCF of 28x^3 and 16x^2y^2

masya89 [10]

I think the greatest common factor is 4

6 0

3 years ago

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use the slope formula to calculate the slope of the line that contains the two points (-4,0) and (5,2)

Solnce55 [7]

Answer:

$\frac{2}{9} x$

Step-by-step explanation:

To find slope using two points you need to find the difference in x and y. You use $\frac{y_{2}-y_{1}}{x_{2}-x_{1} }$

So, 2-0=2 and 5-(-4)=9. Therefore the slope is 2/9x

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3 years ago

Please help me out with this question!!!

V125BC [204]

Answer:

100

Step-by-step explanation:

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HELPPPPPPP PLZZZZ I DONT GET IT

expeople1 [14]

Answer:

See below

Step-by-step explanation:

$1) \: \frac{1}{2} \times 5 \times 6 = 15 \: {cm}^{2} \\ \\ 2) \: \frac{1}{2} \times 10 \times 6 = 30 \: {cm}^{2} \\ \\ 3) \: 5 \times 3 = 15 \: {cm}^{2} \\ \\ 4) \: 10 \times 6= 60\: {cm}^{2}$

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2 years ago