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 =________
Answers
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.
What is a Median ?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
Related Questions
ASAP 30 points and BRAINLIEST!! PLS!
Answers
Answer:
[tex]y+3=\frac{2}{5} (x+5)[/tex]
Step-by-step explanation:
First, let's find the slope using the 2 given points and the slope equation.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Enter in the points:
[tex]m=\frac{-3--1}{-5-0}[/tex]
Simplify:
[tex]m=\frac{-2}{-5}[/tex]
[tex]m=\frac{2}{5}[/tex]
Now that we have slope we can just use one of the points given. Remember point-slope form:
[tex]y-y1=m(x-x1)[/tex]
I'll use the point (-5,-3) in this case.
So, your solution is
[tex]y+3=\frac{2}{5} (x+5)[/tex]
Hope this helps!
y+1=2/5(x+0) should be it
The graph of the function B is shown below. If B(x) = -1, then what is x?
1
2
-1
Answers
Answer:
x = 2
Step-by-step explanation:
B(x) = - 1 means what is the value of x for y = - 1
This is the dot positioned at (2, - 1 )
with x = 2
Answer: its the first one
Step-by-step explanation:
hope thats what your lookinf for
Teresa feeds her dog 1/3 can of dog food each day. How many days can Teresa feed her dog with 5 cans of food?
Answers
5/(1/3) = 15 days
idenify the slope and y-intercept of the function y=-2x+3
Answers
Answer:
The y-interept is 3 and the slope is -2.
Step-by-step explanation:
The y-intercept is always the "b" in y=mx+b
Answer:
Slope: − 2
y-intercept: ( 0 , 3 )
Step-by-step explanation:
"Just look at the graph," the player's agent said. "Phil's hits have doubled since last year. We are looking for a large raise and a long contract." Look at the graph. A bar graph titled Phil's hits has this year and last year on the x-axis, and number on the y-axis, from 100 to 200 in increments of 20. This year is 180, and last year is 120. How can you redraw this graph so it appears that Phil's hits have quadrupled since last year. a. Use the same scale and make the top bar twice as thick as the bottom bar. b. Alter the scale so the top bar appears four times as long as the bottom bar. c. Both a and b. d. Neither a or b.
Answers
Answer:
Awnser is C
Step-by-step explanation:
We just have to make the top bar seem bigger then it actually is
HELP QUICKLY PLEASE!!
What are the coordinates of the endpoints of the midsegment for △JKL that is parallel to KL¯¯¯¯¯?
Enter your answers in the boxes
Answers
Answer:
Did you find the answer? I need help with this too
Step-by-step explanation:
given the graph g(x), find g(-6)
Answers
Answer:
+2
Step-by-step explanation:
Draw a vertical line through x = -6. Determiene the corresponding y-value. It is +2. This is g(-6).
The value of the function g(x) when x = - 6, g(-6) is 2.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function g(x).
Now, The value of the function g(-6) is the same as the value of the y-coordinate when the x-coordinate is - 6.
From the graph, we observe that when x = - 6, y = 2.
So, The value of g(-6) = 2.
learn more about functions here :
https://brainly.com/question/12431044
#SPJ2
Help Really quick
The table shows data collected from 14 people.
Shoe Size, x 8.5 9 9 9.5 10 10 10.5 10.5 11 11 11 12 12 12.5
Height (inches), y 66 68.5 67.5 70 70 72 71.5 70 71 71.5 73 73.5 74 74
Determine the correlation coefficient for the data. Round to the nearest hundredth.
r=
Answers
Answer:
i need the answer ;(
Step-by-step explanation:
In ATUV, Y is the centroid.
If YU = 9 then what is ZY and ZU
Answers
Answer:
I need more information.... ??
Step-by-step explanation:
Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute. Salamander digital offers cellular phone service for 9.95 a month plus five cents a minute. How many minutes would a person need to use a month for beetle cellular to cost the same as salamander digital
Answers
Answer:
750 minutes
Step-by-step explanation:
Let the number of minutes be represented as x
1 cent = 0.01
Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute.
$39.95 + 0.01x
Salamander digital offers cellular phone service for 9.95 a month plus five cents a minute.
$9.95 + 0.05x
How many minutes would a person need to use a month for beetle cellular to cost the same as salamander digital?
This is calculated as:
Beetle cellular = Salamander digital
$39.95 + 0.01x = $9.95 + 0.05x
Collect like terms
$39.95 - $9.95 = 0.05x - 0.01x
$30.00 = 0.04x
x = $30.00/0.04
x = 750 minutes
A person need to use 750 minutes a month for beetle cellular to cost the same as salamander digital.
i really hate math so please
Answers
Answer:
personally i think c
Step-by-step explanation:
its because for the graph there is 90 and it has a point and when i used a calc i put the points and the a=18 so 90 eould be 18 again this what i think i am not really AMAZING at it but i get some of it for ex the chart equals it only equals a=5
QUICK HELP ITS DUE IN 10 EEEEEEEEEEE
Answers
Answer:
the answer is b
Step-by-step explanation:
pls give me brainliest plsss i gave you answer
Starting from the same place a plane took 1 hr longer to fly 705 mi to Atlanta, than to fly 470 mi to New Orleans. If the plane flew at the same rate for the entire trip, what was the flying time for the shorter leg? a. 1 2 hr c. 1 1 2 hrs b. 1hr d. 2 hrs
Answers
Answer: d. 2 hrs
Step-by-step explanation:
Let x = Time taken(in hours) to fly 470 mi to New Orleans. (Shorter leg)
Then Time taken to fly 705 mi to Atlanta= x+1 (longer leg)
Since the plane flew at the same rate for the entire trip.
i.e. Speed 705 mi to Atlanta = Speed to fly to New orleans
[tex]\Rightarrow\ \dfrac{705}{x+1}=\dfrac{470}{x}\ \ \ \ \ \ \ [\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}]\\\\\Rightarrow\ 705x=470(x+1)\\\\\Rightarrow\ 705x=470x+470\\\\\Rightarrow\ 705x-470x=470 \\\\\Rightarrow\ 235x=470\\\\\Rightarrow\ x=\dfrac{470}{235} \\\\\Rightarrow\ x=2[/tex]
hence, the flying time for the shorter leg = 2 hours
So (d) is the correct option.
101.101 correctly written out in words
Answers
Answer:
One hundred one and one hundred one thousandths
Step-by-step explanation:
Answer:
Step-by-step explanation:
basicliy he's saying c
wich is true:)
Find the measure of the indicated arc.
Answers
Hope this helps :D
An airplane traveled 108 miles in 20 minutes? How long will it take to fly 162 miles?
a
30 min
b
25 min
c
8.1min
d
35 min
omg pls help me im giving like all my points out for this
Answers
Answer:
poopy
Step-by-step explanation:
Tee Hee
Answer:
a, 30 minutes
Step-by-step explanation:
108 divided by 20 is 54
162 divided by 54 is 30
How do I solve this equation and check the solutions?
Answers
Answer:
The value of x is 10.
Step-by-step explanation:
The steps to do this :
[tex]x - \sqrt{2x + 5} = 5[/tex]
[tex]x - 5 = \sqrt{2x + 5} [/tex]
[tex] {(x - 5)}^{2} = {( \sqrt{2x + 5}) }^{2} [/tex]
[tex] {x}^{2} - 10x + 25 = 2x + 5[/tex]
[tex] {x}^{2} - 12x + 20 = 0[/tex]
[tex] {x}^{2} - 2x - 10x + 20 = 0[/tex]
[tex]x(x - 2) - 10(x - 2) = 0[/tex]
[tex](x - 2)(x - 10) = 0[/tex]
[tex]x = 2 \: (rejected)[/tex]
[tex]x = 10[/tex]
A population of kangaroos is growing at a rate of 2% per year, compounded continuously. If the rate continues, how many years will it take of the population to reach 150% of its current size according to the exponential growth function?
Answers
Answer:
75 years.
Step-by-step explanation:
Divide 150 by 2, that gives you the years.
Denis orders a large pizza for $16.50 plus $2 for each topping. Sheng orders a medium pizza for $13.25 plus $2 for each topping.
Answers
Their bills will never be the same because the toppings cost the same.
Question must probably wants to know the number of toppings it would take for their bills to be equal.
Assume the number of toppings is x, Dennis's bill will be:
= Cost of Pizza + Cost of toppings x number of toppings
= 16.50 + 2x
Sheng's bill will be:
= 13.25 + 2x
Equate their bills to find the number of toppings that would equate their costs:
16.50 + 2x = 13.25 + 2x
16.50 - 13.25 ≠ 2x - 2x
3.25 ≠ 0
In conclusion, their bill will never be the same because the toppings are the same price.
Find out more at https://brainly.com/question/5607279.
HELPPP
Solve the equation
log (2x-3)=2
Answers
Answer:
2.5 or 5/2
Step-by-step explanation:
2x-3=2
2x=5 (both sides plus 3)
x=5/2 or 2.5(divid by 2 on both sides)
Desarrolla el siguiente cuadrado de binomio (2x³ - 6x)²
Answers
Answer:
[tex]4x^{6} - 24x^{4} + 36x^{2}[/tex]
Step-by-step explanation:
Can somebody plz answer both questions! only if u done it before thanks!
WILL MARK BRAINLIEST WHOEVER ANSWERSS:DD
Answers
Answer:
48% is A and since i like quarters more than nickels and dimes its c for 30
Step-by-step explanation: Because I said so.
Answer:
To calculate the average you must add the percentages up and divide by the number of percentages. So, 52+28+34+95+16+63=288/6=48. The percentage is 48%.
For the second questions you take 100 divide by 3 since there are 3 coins and you get an 33.3%. But, since you can't have 0.3 of a coin. So, since you started with a nickel, you would end with a nickel giving you a percentage of 34% and the dimes and quarters a percentage of 33% each.
all poets are loners. All loners are taxi drivers. therefore, all poets are taxi drivers
is this valid or invalid?
Answers
Answer:valid
Step-by-step explanation:
PLEASE HELP! I'M STUCK!
Answers
Please help!
Much appreciated if anyone would help x
Answers
B) 1/9
HOPE THIS HELPS :)
I need help someone please
Answers
Answer: [tex]\frac{6}{2}[/tex]
Step-by-step explanation:
1. Use this [tex]\frac{f(b)-f(a)}{b-a}[/tex] to find the average rate of change
2. Average rate of change = [tex]\frac{f(8)-f(6)}{8-6}[/tex]
3. [tex]f(8) = - 4[/tex] and [tex]f(6) = -10[/tex] (To find these you will need to look at the points on the graph. So the points (8,-4) and (6,-10))
4. Replace -4 to f(8) and -10 to f(6)
5. So it will look like[tex]\frac{-4-(-10)}{8-6}[/tex]
6. Solve [tex]\frac{6}{2}[/tex]
The length of a rectangle is 10 more than 10 twice the width , if the perimeter is 80inches find the length the width
Answers
Answer:
The width is 10 inches
The length is 30 inches
Step-by-step explanation:
Perimeter of a Rectangle
The perimeter of a rectangle of length L and width W is calculated as follows:
P = 2L + 2W
It's given the length of a rectangle is 10 more than twice the width:
L = 2W + 10
Substituting into the formula of the perimeter:
P = 2(2W + 10) + 2W
Operating:
P = 4W + 20 + 2W
P = 6W + 20
It's given this perimeter is 80 inches, thus
6W + 20 = 80
Subtracting 20:
6W = 80 - 20 = 60
Dividing by 6:
W = 60 /6 = 10
Since :
L = 2W + 10
L = 2*10 + 10
L = 30
The width is 10 inches
The length is 30 inches
Clare cycled a total of 6.48 kilometers by making 4 trips to work. How many trips will Clare have to make to cycle a total of 8.1 kilometers?
Answers
Answer:
5 trips
Step-by-step explanation:
6.48 km = 4 trips
1 trip = 6.48km ÷ 4 trips
1.62km = 1trip
8.1 kilometers ÷ 1 trip = 8.1 kilometers ÷ 1.62km
8.1 kilometers = 5 trips
∴ 8.1kilometers covers 5 trips
-3y-2=7 what is the value of y
Answers
Answer:
y = -3
Step-by-step explanation:
Add 2 to each side to isolate the -3y. Doing this leaves you with -3y=9. You then divide each side leaving you with y = -3
Answer:
The equation has one solution at which y = -3.
Step-by-step explanation:
To find the value of y, we need to isolate it from the rest of the equation.
Add 2 to both sides of the equation.Divide by -3 on both sides of the equation.Simplify the equation if necessary.[tex]\displaystyle{-3y-2=7}\\\\-3y = 9\\\\\bold{y = -3}[/tex]
We can check to make sure that y = -3 by substitution.
[tex]\displaystyle{-3(-3)-2 = 7}\\\\9-2=7\\\\7= 7 \ \checkmark[/tex]
Because we got a true statement, we can determine that y = -3.
Heather has a bag with 3 marbles, 7 tennis balls, 3 apples, and 3 books. What is the ratio of books to tennis balls?
A.
(3/7) or 3:7
B.
(7/8) or 7:8
C.
(4/7) or 4:7
Answers
Answer:
B
Step-by-step explanation:
I hope it's correct and I'm thinking it is,. Sorry if it's not
Answer:
I think A
Step-by-step explanation:
3/7. Or 3:7
Cause there are 3 books and 7 tennis balls