The vertices of a triangle are A (-2, 2), B (4,10), and C (0, -2). Find the equation of the line that contains
the median through point


The equation of the line is y =________

Answer:

y = 1/2 x + 3

Step-by-step explanation:

mid point of line BC = (2, 4)

slope of the line containing median (m) = 1/2

y intercept (b)= 3

since y = mx + b

y = 1/2x + 3

The median of a triangle is the line segment joining the any of the vertex to the mid-point of the opposite side of that vertex. The equation of the median through point A is given by y = 1/2x + 3.

A median of a triangle is a line segment joining one of the vertex of the triangle to the mid-point of the opposite side.

The median of an equilateral triangle also an angular bisector.

Given that,

The coordinates of A = (-2, 2)

The coordinates of B = (4, 10)

The coordinates of C = (0,-2)

Thus the coordinate mid-point of BC is given by (4+0)/2,(10-2)/2 = (2,4).

Now, to find the equation of median through A there are two points (-2,2) and (2,4).

Thus the equation of median an be written as,

(y-2)/(x+2) = (4-2)/(2-(-2))

=> y - 2 = 1/2(x+2)

=> y = 1/2(x+2) + 2

=> y = 1/2 x + 3

Hence, the equation of the line is y = 1/2 x + 3.

To know more about Median click on,

https://brainly.com/question/2272632

#SPJ2

2. Manakah yang merupakan PLSV? Jelaskan!
a. 2x + 5 25
b. y + 10 = 7
C. x+3y = 12
d. x + 2 = 10​

what is x times x times y times y plz

select the correct answer.
simplify the following expression.
(1/7x +3/8) +(2/8x - 1/8)
A. -5/63x +1/2
B.23/63x +1/2
C.3/16x + 1/4
D.23/63x + 1/4

Laura makes a down payment of $2700 on a new car and for 2 years monthly payments of $495 what is the actual cost of the car ?​

Question 1 of 10
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
2x + 4y = 14
X= 3
O A. (3,5)
B. (2,3)
C. (3,12)
PREVIOUS
Type here to search
o

Problem

The formula for the remaining volume of fuel in a car's tank is I-E\cdot DI−E⋅DI, minus, E, dot, D, where III is the initial volume of fuel, EEE is the fuel efficiency, and DDD is the distance traveled.

Carson drove a distance of 120120120 kilometers. He initially had 303030 liters of fuel, and his car's fuel efficiency is 100100100 cubic centimeters per kilometer.

What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?

What are the answers to all problems?

5. The side of a square is (3x - y). What is the perimeter of the square?
a. 12x - 4y
b. 12x -Y
c. 6x-2y
d. 12x + 4y
I need help plzzz

The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.

the price of 6 pretzels is 5.10$. Simon and Sofia bought 8 pretzels and shared the cost equally. how much did each person pay

Find the number, pls show your work!
68 less than 5 times a number is equal to the number. What is the number?

Write the equation of the line, in point-slope form, that has a slope of and passes through the point (-6, 4). Fill in point-slope form. Y-___ =___(x-__)

Todd is traveling to Mexico and needs to exchange 400 US dollars into Mexican pesos. If each dollar is worth 12.29 pesos, how many pesos will he get for his trip?

For which function will both ordered pairs (3,6) and (4,8) be solutions?

1/2 x + y = 8 and 2y = x + 14 pls show your work thx

Anita buys a computer for $391 in a sale. The sale price is 15% less than the original price. Calculate the original price of the computer.​

A wooden cube has a volume of 216 cubic centimeters. What is the length of one side of the cube?

Jacob earns $7.25 an hour at his part-time job, and earns $9 each time he mows the lawn for his mother. He graphs the amount of hours he works at his job (x) and the number of lawns he mows (y) to determine how to earn at least $300. Which type of boundary line should he use in his graph?

h - 15 = -22
Help please

Simplify
√
150
fully, giving your answer in the form
a
√
b

Item 12 You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long. Evaluate the expression 20×2÷5 to find how many pages you need to read each day.

Mike had to call a plumber. The plumber charged $55 for the service call plus, plus $22 for parts, and an hourly rate. He worked on the job for 3 hours. If Mike was charged $152, how much did the plumber charge per hour?
pls include the equation.

The info is in the picture
Domain?
Range?

Write an equation in slope-intercept form of the line that passes through the points (4,1) and (8,2)

Find an equivalent fraction for each.

Just do one answer

Solve the absolute value equation. Graph the solution. |x-3|=1

What is 31.68 - 19.55 =​

At Cheng's Bike Rentals, it costs 31 to rent a bike for 6 hours.
How many hours of bike use does a customer get per dollar?

Determine if each statement is true or false.
a) If a number is divisible by 10, then its ones digit is 0.
b) If a prime number is greater than 2, it is odd.
c) If a number is a perfect square, then it has only 3 factors.
d) If 21 -5 = 13, then I=4.
: True
*: False

Henry incorrectly said the rate 1/5 pound/1/10 gallon can be written as the unit rate 1/50 pound per gallon . What is the correct unit​ rate? What was Henry's likely​ error?