Find the next two terms in this sequence. 1, 2, 6, 24, 120, [?],[]

Mathematics

1 answer:

Bogdan [553]2 years ago

4 0

1x1=1

1x2=2

2x3=6

6x4=24

24x5=120

120x6=720

720x7=5040

the answer is 720 and 5040

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Solve g(-1)=x^2-5x+2

olga55 [171]

Answer:

x = 5/2 + sqrt(17)/2 or x = 5/2 - sqrt(17)/2

Step-by-step explanation:

Solve for x:

x^2 - 5 x + 2 = 0

Subtract 2 from both sides:

x^2 - 5 x = -2

Add 25/4 to both sides:

x^2 - 5 x + 25/4 = 17/4

Write the left hand side as a square:

(x - 5/2)^2 = 17/4

Take the square root of both sides:

x - 5/2 = sqrt(17)/2 or x - 5/2 = -sqrt(17)/2

Add 5/2 to both sides:

x = 5/2 + sqrt(17)/2 or x - 5/2 = -sqrt(17)/2

Add 5/2 to both sides:

Answer: x = 5/2 + sqrt(17)/2 or x = 5/2 - sqrt(17)/2

5 0

3 years ago

The proof that point (1,root 3) lies on the circle that is centered at the origin and contains the point (0,2) is found in the t

AURORKA [14]

<h2>Answer:</h2>

D. Distance formula

<h2>Step-by-step explanation:</h2>

$The \ \mathbf{distance} \ d \ between \ the \ \mathbf{points} \ (x_{1},y_{1}) \ and \ (x_{2},y_{2}) \ in \ the \ plane \ is:\\ \\ d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

As in the statement:

<em>The distance form</em> $(0,0)$ to $(0,2)$ is $\sqrt{(0-0)^2+(2-0)^2}=\sqrt{2^2}=2$ <em>whose justification is the </em><em>Distance Formula. </em>

<em />

Here in this statement the justification is also the Distance Fromula, so we take the distance from $(0,0) \ to \ (1,\sqrt{2})$ whose result is also 2 and is the radius of the circle.