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Tems11 [23]
2 years ago
10

The fact family model represents 6 + 5 = 11.

Mathematics
1 answer:
FromTheMoon [43]2 years ago
4 0

Answer:

6 is 5 less than 11

Step-by-step explanation:

"Less than" means subtract, so;

11 - 5 = 6, which is true

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The slope is 1/2. Every time the x increases by 2, the y increases by 1. Slope is the rise over the run, which would be 1/2
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The rectangular coordinates of a point are given. Find the polar coordinates ​(r,theta​) of this point with theta expressed in r
alexandr402 [8]

Answer:}

In polar coordinates P is

P  ( 12 ; 2.618 )  

Step-by-step explanation:

The point (ectangular coordinates)  

P ( -6√3  ;   6 )       P  (  x ; y )

Polar coordinates   P ( r  ;  θ )

x = r cos θ

y = r sin θ                  r > 0    and     0  ≤ θ ≤ 2π

Then

r  =  √ (x)² + (y)²        r  =  √(36)²*3 +( 36)²       r = √144

r  =  12   (hypothenuse module always positive)

The point   P  ( -6√3  ;   6 )   is in second cuadrant  between 90° and 180°

angle between  r  and horizontal axis x  is equal to θ

tan α =  l.opp/ l.adj.    tan θ =  y/x       tan θ = - 6 /6√3

tan α = - 1/√3

Then α  =  180⁰ - 150⁰  = 30⁰  or     θ =  150⁰

to express that value in radians we have :

1 π radian      =   180⁰         ⇒   3,1416   radians  =  180⁰

                                                      x ??                  =   150⁰

x =  radians

Finally the point is   P  ( 12 ; 2.618 )  

6 0
2 years ago
F(x)=3x^5+7x^3-8x^2-x+23
svet-max [94.6K]
Simplifying
f(x) = x2 + 8x + -3

Multiply f * x
fx = x2 + 8x + -3

Reorder the terms:
fx = -3 + 8x + x2

Solving
fx = -3 + 8x + x2

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.
f = -3x-1 + 8 + x

Simplifying
f = -3x-1 + 8 + x

Reorder the terms:
f = 8 + -3x-1 + x
7 0
3 years ago
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