All categories

3 years ago

Find the equation of the median shown:

Mathematics

1 answer:

qwelly [4]3 years ago

8 0

Hey there! I'm happy to help!

The median is the line cutting the triangle in this graph. In general, a median connects any of the triangle points to halfway across the side opposite to that point. This median connects R to halfway across the side across from R.

We want to find the equation of this median. We see that T is at (-2,3) and R is (3,-3). The first thing to do when looking for the equation of the line is to find the slope, or incline. Since we have two points, we can do this very easily. You simply divide the difference in the y-values by the difference in the x-values.

DIFFERENCE IN Y-VALUES

3-(-3)

3+3

DIFFERENCE IN X-VALUES

-2-3

-5

Now, we divide the two answers, giving us -6/5.

So, we have our slope, which gives us the equation so far y=-6/5x+b. We just need to find the b, which is our y-intercept. Well, to do this, we plug in one of our points and we can solve for b. We will use (3,-3)!

-3=-6/5(3)+b

-3=-3 3/5+b

We add 3 3/5 to both sides to isolate the b.

b=3/5

This means that this median should hit the y-axis at (0,3/5), and it looks like it does. Therefore, the equation of this median is y=-6/5x+3/5.

Now you can find the slope of a median! Have a wonderful day! :D

You might be interested in

Zachery is solving the equation 3/4 (x - 8) = 12

Maru [420]

Answer:

3/4*x - 3/4*8=12

3/4x -6=12

3/4x=12+6

3/4x=18

x=24

Step-by-step explanation:

multiply 3/4 into the content inside the brackets

have -3/4*8 cross the equal sign changing its sign from - to +

divide both sides by 3/4

6 0

2 years ago

A standard doorway measures 6 feet 8 inches by 3 feet. What is the largest dimension that will fit through the doorway without b

nikdorinn [45]

Answer:

87.73 inches

Step-by-step explanation:

We are given that the dimensions of the rectangular doorway are,

Length = 6 ft 8 inches = 80 inches and Width = 3 feet = 36 inches.

Using Pythagoras Theorem, we will find the diagonal of the rectangular doorway.

i.e. $hypotenuse^{2}=length^{2}+width^{2}$

i.e. $hypotenuse^{2}=80^{2}+36^{2}$

i.e. $hypotenuse^{2}=6400+1296$

i.e. $hypotenuse^{2}=7696$

i.e. Hypotenuse = ±87.73 inches

Since, the length cannot be negative.

So, the length of the diagonal is 87.73 inches.

As, the largest side of a rectangle is represented by the diagonal.

So, the largest dimension that will fit through the doorway without bending is 87.73 inches.

7 0

3 years ago

A certain compound has a half-life of four days. Write and use an exponential decay function to find the amount of compound rema

dimaraw [331]

Answer:

1.97 ounces

Step-by-step explanation:

-The exponential decay function is given by the formula:

$P_t=P_oe^{-rt}\\\\$

Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:

$P_t=P_oe^{rt}\\\\P_t=0.5P_o\\\\\therefore 0.5=e^{-4r}\\\\-4r=In(0.5)\\\\r=0.17329$

#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.

#We substitute and solve for the amount remaining after 21days of decay:

$P_t=P_oe^{-rt}\\\\=75e^{-21\times 0.17329}\\\\=1.97072\\\\\approx1.97 \ oz$

Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces

4 0

3 years ago

Yesterday, Jed's bank account balance was –$26.34. He deposited some money into his account so that the balance is now $42.18.

omeli [17]

It's D $68.52 due to the act that 42.18 + 26.34= $68.52

3 0

3 years ago

Four points are labeled on the number line which point represents the value of -1/2

ololo11 [35]

Don’t listen to the people who give you the links

7 0

3 years ago