Which expression is equivalent to this one?<br> j-6+j•s<br> O6+)<br> O6+)<br> D3(6+):s

Write the equation of the perpendicular bisector of AB if A(–6, –4) and B(2, 0).

iragen [17]

Answer:

Step-by-step explanation:

The equation of perpendicular bisector of A(-6, -4 ) and B(2, 0) is y = -2x - 6

Solution:

Given that we have to find the equation of perpendicular bisector of A(-6, -4 ) and B(2, 0)

A perpendicular bisector, bisects a line segment at right angles

To obtain the equation we require slope and a point on it

Find the midpoint and slope of the given points and then we can find the equation

Find the midpoint:

Given points are A(-6, -4 ) and B(2, 0)

The midpoint is given as:

Substituting the values we get,

Find the slope of given points:

Then the slope of perpendicular bisector is given as:

We know that product of slopes of given line and slope of line perpendicular to it is equal to -1

Let the slope of perpendicular bisector be

Find the equation of line with slope -2 and point (-2, -2)

The equation of line in slope intercept form is given as:

y = mx + c -------- eqn 1

Where "m" is the slope and "c" is the y - intercept

Substitute (x, y) = (-2, -2) and slope m = -2 in eqn 1

-2 = -2(-2) + c

-2 = 4 + c

c = -2 - 4

c = -6

Substitute c = -6 and m = -2 in eqn 1

y = -2x - 6

Thus the required equation of perpendicular bisector is found

5 0

3 years ago

Read 2 more answers

Find RA, 90: (2,5) given that point A is located at (-3, -3).

Anna71 [15]

Answer:

The value of RA is " 9.43".

Step-by-step explanation:

In the given question there is some typing mistake so, the points are:

R =(2, 5)

A= (-3, -3)

Find:

RA= ? where it is a distance (D).

Formula:

$D= \sqrt{(x_2-x_1)^2+ (y_2-y_1)^2} \\\\\ compare \ the \ value \\\\x_1 = 2\\y_1=5\\x_2=-3\\y_2= -3$

put the value in the formula:

$\Rightarrow D =\sqrt{(-3-2)^2+(-3-5)^2} \\\\\Rightarrow D =\sqrt{(-5)^2+(-8)^2} \\\\\Rightarrow D =\sqrt{25+64} \\\\\Rightarrow D =\sqrt{89} \\\\\Rightarrow D = 9.43\\$

4 0

3 years ago

Find the perimeter of triangle ABC rounded to the nearest tenth A(-4,3) B(5,3) C(-4,-2)

marin [14]

Answer:

Answer is B

Step-by-step explanation:

8 0

3 years ago

Help!!!!

joja [24]

Answer:

0.28 yr

Step-by-step explanation:

To find the doubling time with continuous compounding, we should look at the formula:

$FV = PVe^{rt}$

FV = future value, and

PV = present value

If FV is twice the PV, we can calculate the doubling time, t

$\begin{array}{rcl}2 & = & e^{rt}\\\ln 2 & = & rt\\t & = & \dfrac{\ln 2}{r} \\\end{array}$

1. Samuel's doubling time

$\begin{array}{rcl}t & = & \dfrac{\ln 2}{0.055}\\\\& = & \textbf{12.603 yr}\\\end{array}$

2. Claire's doubling time

$\begin{array}{rcl}t & = & \dfrac{\ln 2}{0.05625}\\\\& = & \textbf{12.323 yr}\\\end{array}$

3. Samuel's doubling time vs Claire's

12.603 - 12.323 = 0.28 yr

It would take 0.28 yr longer for Samuel's money to double than Claire's.

4 0

4 years ago

What is the value of 6^2

Serga [27]

Answer:12

Step-by-step explanation:6x2=12

8 0

3 years ago

Read 2 more answers

Which expression is equivalent to this one? j-6+j•s O6+) O6+) D3(6+):s