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arlik [135]
3 years ago
6

Evaluate -4n^2+ 11 when n= 3

Mathematics
2 answers:
jok3333 [9.3K]3 years ago
8 0

Answer:

Step-by-step explanation:

999

lisabon 2012 [21]3 years ago
6 0

Since you know the value of n, you can substitute/plug it into the equation:

-4n² + 11          Plug in 3 into "n" since n = 3

-4(3)² + 11       Find 3² -->    3 x 3 = 9

-4(9) + 11       Multiply -4 and 9

-36 + 11

-25

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Which of the following are solution to the equation below Check all that apply. <br> (4x-1)^2=11
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Step-by-step explanation:

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Graph the solution to this inequality on the number line.<br><br> 5/8 z &gt; 5/6
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The number 75,361,665 rounded to the nearest hundred is
frutty [35]

Answer:

75,361,700

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Read 2 more answers
Find an equation for the perpendicular bisector of the line segment whose endpoints
TEA [102]

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

\boxed{gradient =  \frac{y1 -y 2}{x1 - x2} }

Gradient of given line

=  \frac{1 - ( - 5)}{3 - ( - 9)}

=  \frac{1 + 5}{3 + 9}

=  \frac{6}{12}

=   \frac{1}{2}

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

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

Midpoint of given line

= ( \frac{3  -  9}{2} , \frac{1 - 5}{2} )

= ( \frac{ - 6}{2}  , \frac{ - 4}{2} )

= ( - 3 , - 2)

Substituting (-3, -2) into the equation:

-2= -2(-3) +c

-2= 6 +c

c= -2 -6 <em>(</em><em>-</em><em>6</em><em> </em><em>on both</em><em> </em><em>sides</em><em>)</em>

c= -8

Thus, the equation of the perpendicular bisector is y= -2x -8.

5 0
3 years ago
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