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dangina [55]
3 years ago
6

Write the quadratic function in vertex form:f(x)=4x^2+2x+-5

Mathematics
1 answer:
Sonbull [250]3 years ago
8 0

Answer:

y = 4 ( x+ 1 4 ) 2 − 21 4

Step-by-step explanation:

...

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Point M is the midpoint of AB. The coordinates of point A are (−7, 1) and the coordinates of M are (−2, 2). What are the coordin
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Answer:

\huge{\boxed{\sf{ ( 3 , 3 ) }}}

Step-by-step explanation:

Co-ordinates of point A = ( -7 , 1 )

Co-ordinates of point M = ( -2 , 2 )

Let the co-ordinates of point B be ( x , y )

A ( -7 , 1 ) \longrightarrow ( x1 , y1 )

B ( x , y ) \longrightarrow ( x2 , y2 )

Now,

Midpoint = (\frac{x1 + x2}{2}  , \frac{y1 + y2}{2} )

⇒( -2 , 2 ) = ( \frac{-7 + x}{2}  , \frac{1 + y}{2} )

Finding the value of x :                    

⇒-2 = \frac{-7 + x}{2}

Do cross multiplication                

⇒-4 = -7 + x

⇒-7 + x = -4

⇒x = -4 + 7

⇒x = 3

Now, finding the value of y

⇒2 = \frac{1+y}{2}

Do cross multiplication

⇒4 = 1+y

⇒1+y = 4

⇒y = 4 - 1

⇒y = 3

Hence, The co-ordinates of point B = ( 3 , 3 )

Hope I helped!

Best regards!

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What is 8 7/9 − 3 2/3 =
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[|] Answer [|]

\boxed{5 \ 1/9}

[|] Explanation [|]

Rewrite the equation with parts separated:

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Solve the fraction parts:

7/9 - 2/3

Find LCD of 7/9 & 2/3

7/9 - 6/9 = 1/9

5 + 1/9 = 5 1/9

\boxed{[|] \ Eclipsed \ [|]}

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