Identify the radius and the center of a circle whose equation is (x

Rewrite the equation by completing the squares x^2-x-20

yuradex [85]

Answer: x = ¹/₂ ± √⁸¹

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2

Step-by-step explanation:

First write out the equation

x² - x - 20

Now we now write the equation by equating to 0

x² - x - 20 = 0

We now move 20 to the other side of the equation. So

x² - x = 20,

We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes

x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²

x² - ( ¹/₂ )² = 20 + ¹/₄

( x - ¹/₂ )² = 20 + ¹/₄, we now resolve the right hand side expression into fraction

( x - ¹/₂ )² = ⁸¹/₄ when the LCM is made 4

Taking the square root of both side to remove the square,we now have

x - ¹/₂ = √⁸¹/₄

x - ¹/₂ = √⁸¹/₂

Therefore,

x = ¹/₂ ± √⁸¹

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2

3 0

3 years ago

!Extremely Urgent!

ira [324]

Answer:

B. slope: 3/2, y-intercept: 5

Step-by-step explanation:

Rewrite in slope-intercept form. The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

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3 years ago

Derive the followir<br>i) v2 = u? + 2as<br>ii) s = ut +<br>at

Masteriza [31]

Three little birds out of my window and they told me I don’t need to worry

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2 years ago

Help please asap just the answers

Stella [2.4K]

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$\huge\underline{\sf{\red{Problem:}}}$

7.) Detemine the value of $\sf{ {3a}^{2} -b.}$

$\huge\underline{\sf{\red{Given:}}}$

$\quad\quad\quad\quad\sf{a = 2}$

$\quad\quad\quad\quad\sf{b = - 1}$

$\quad\quad\quad\quad\sf{c = - 3}$

$\huge\underline{\sf{\red{Solution:}}}$

$\quad\quad\quad\quad\sf{⟶{3a}^{2} - b}$

$\quad \quad \quad \quad \sf{⟶{(3)( 2)}^{2} -( - 1)}$

$\quad \quad \quad \quad \sf{⟶3(4)-( - 1)}$

$\quad \quad \quad \quad \sf{⟶12-( - 1)}$

$\quad \quad \quad \quad \sf{⟶12 + 1 }$

$\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}$

$\huge\underline{\sf{\red{Answer:}}}$

$\huge\quad \quad \underline{ \boxed{ \sf{ \red{7.)\:13}}}}$

8.) Find the value of $\sf{ {a}^{3} {b}^{3} - abc.}$

$\huge\underline{\sf{\red{Solution:}}}$

$\quad\quad\quad\quad\sf{⟶ {a}^{3} {b}^{3} - abc}$

$\quad\quad\quad\quad\sf{⟶{(2)}^{3} {( - 1)}^{3} - (2)( - 1)( - 3)}$

$\quad\quad\quad\quad\sf{⟶{(8)}{( - 1)} - ( - 2)( - 3)}$

$\quad\quad\quad\quad\sf{⟶{( - 8)} - ( 6)}$

$\quad\quad\quad\quad ⟶\boxed{\sf{ - 14}}$

$\huge\underline{\sf{\red{Answer:}}}$

$\huge\quad \quad \underline{ \boxed{ \sf{ \red{8.)-14}}}}$

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#CarryOnLearning

$\sf{\red{✍︎ C.Rose❀}}$

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Answer:

$257.33 on Apex it’s correct, I took the quiz

Step-by-step explanation:

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