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polet [3.4K]
3 years ago
10

If a1 = 4 and an = (an-1)2 + 3 then find the value of a4.

Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

Answer:

pay more

Step-by-step explanation:

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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.

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3 years ago
The general form for a linear equation is given as: y = a + bx. In the regression equation, b is called the ______.
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Answer:

Slope

Step-by-step explanation:

In the regression equation y=a+bx, y is dependent variable and x is independent variable. It means that due to change in x the y changes respectively. The "a" is intercept of the model and it shows the value of y when x is zero. The "b" is the slope of the model and it depicts the change in y due to unit change in x. The positive value of b means that as the x increases y also increases and as the x decreases y also decreases. The negative value of b means that as the x decreases y increases and as the x increases the y decreases.The sign of b shows the type of relationship between independent and dependent variable.

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Is this a function or not
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this equation is not funcion.

Step-by-step explanation:

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Answer:

Step-by-step explanation:

HERE ARE THE ANSWERS

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