(22) Geometry

1 answer:

8 0

Answer: y = (-1/2)x+1

----------------------------------------------

Explanation:

D = Midpoint of A and B
D = (x,y)
x = [(xCoord of A)+(xCoord of B)]/2
x = [(-4)+(4)]/2
x = 0/2
x = 0
y = [(yCoord of A)+(yCoord of B)]/2
y = [(-2)+(4)]/2
y = 2/2
y = 1
So the midpoint of AB is D = (x,y) = (0,1)

The median for point C will go through the points D = (0,1) and C = (18,-8)

Let's find the slope of line DC
m = (y2-y1)/(x2-x1)
m = (-8-1)/(18-0)
m = -9/18
m = -1/2

Then use the slope m and one of the points D or C to find the y intercept b
I'm going to use the coordinates of point D
y = m*x+b
1 = (-1/2)*(0)+b
1 = 0+b
b = 1

So the equation of line DC is y = (-1/2)x+1, which contains the median that goes through point C

You might be interested in

Joey invest $900 at 4% simple interest for 2 years but he wants to know how much money he will have after only 18 months. Determ

malfutka [58]

Well, bearing in mind that, a year has 12 months, so 18 months is really just 18/12 of a year, or 3/2 a year, then

$\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$900\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
t=years\to \frac{18}{12}\to &\frac{3}{2}
\end{cases}
\\\\\\
A=900\left( 1+0.04\cdot \frac{3}{2} \right)$

4 0

3 years ago

Which of the following is not a function

aleksandr82 [10.1K]

Answer:

The ellipse is not the graph of a function.

Step-by-step explanation:

If you can draw a vertical line on the graph that intersects the graph in two or more points, the relation shown is not a function.

A vertical line will intersect the ellipse at two points (unless it is tangent to an end of the major axis), so the ellipse is not the graph of a function.

4 0

2 years ago

Read 2 more answers

What two facts can you double to Find 8×4

vitfil [10]

4 is equal to 2*2 (double the 2 is 4)

7 0

2 years ago

Lisa is in charge of planning a reception for 3600 people. She is trying to decide which snacks to buy. She has asked a random s

Olenka [21]

Answer:

The expected number of the people at the reception whose favorite snack will be chips is 1152