Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three medians of triangle ABC
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three altitudes of the same triangle
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three perpendicular bisectors of the same triangle.

Answers

Answer 1

Answer:

1.[tex]y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}[/tex]

2.[tex]y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}[/tex]

Step-by-step explanation:

A(−3, 0), B(0, 6), and C(4, 6)

using the midpoint formula: [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex] we can find all of their midpoint which is necessary to complete question 1 and 2

Mid AB=(-1.5, 3), Mid BC=(2, 6), Mid AC=(0.5,3)

Next, we have to find the slope of from the vertex and the midpoint of each side. We use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

You would get -6, 6/5, and 6/11.

Next you substitute in the coordinates for the equation of each for example: y=-6x, you switch in the set of cords AB which is (-1.5, 3). 3=-6(-1.5)+z and find that z=6, so the equation is y=-6x+6. As for the rest, repeat the same process until you find all 3 cords. You should get an answer of [tex]y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}[/tex]

For question 2,

The line has to be perpendicular bisector to the midpoint, signifying that it has to split 2 angles into congruent angles and a side into half. In order to do that we need to first find the opposite reciprocal of each side's slope. Which means we need to once again use the slope formula and get the opposite reciprocal by [tex]-\frac{1}{slope}[/tex]. For all the opposite reciprocal slopes you get will be incorporated into the final formulas. That gives us the slopes of -1/2, 0 and -7/6. Then do the same process of matching cords with these incomplete equations and you can find the final equations of [tex]y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}[/tex]

I hope that helped with your question!! :)

Also I'm an RSM student too and I didn't know how to do them before so I searched it up.


Related Questions

please answer the question below

Answers

all of them i believe

Graph the line of the equation x−2y=6 using its slope and y-intercept.

Answers

Step-by-step explanation:

take x and subtract it over to the other side you should get Negative two y equals negative x + 6 then divide it all by -2 and you should get y equals 1/2 x - 3


can someone please help

Answers

Answer:

B

Step-by-step explanation:

Distribute the negative then simplify

Divide 3x2 − 11x − 4 by x − 4.

Answers

Answer:

3x+1

Step-by-step explanation:

Answer: 3x + 1

Step-by-step explanation:

Convert the numerator in factored form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side.

Rewrite as perfect squares

Square root both sides

therefore you must

Substitute

Read the excerpt from "Healthy Eating." "Cherish the season," is her motto. If kids want something out of season, it's OK to buy frozen. Then steel yourself for some complaining and use the opportunity to convey a larger lesson. "It's important to teach children that you don't always get what you want," she said. Which statement best describes the author’s argument in this part of the article? Frozen foods are a necessary part of a balanced diet. Frozen foods can be a good substitute for fresh foods. Parents should do what they can to please picky eaters. Children often request foods that are unhealthy for them.

Answers

Answer:

its c

Step-by-step explanation:

Answer:

B (Frozen foods can be a good substitute for fresh foods.)

Step-by-step explanation:

because in the text: cherish the season," is her motto. If kids want something out of season, it's OK to buy frozen. Then steel yourself for some complaining and use the opportunity to convey a larger lesson. so i think its be because there kind of saying that its ok to have frozen food in the winter because its expensive to get fresh food in winter.

Amir ran the first 200-meter leg of the relay race with a speed of 8,260 millimeters per second. Ryder ran the last 200-meter leg with an average speed of 930 centimeters per second. Who ran the race faster, and how much faster was that person’s speed to the nearest meter per second?
A. Amir ran approximately 1 meter per second faster than Ryder.
B. Ryder ran approximately 1 meter per second faster than Amir.
C. Amir ran approximately 104 meters per second faster than Ryder.
D. Ryder ran approximately 104 meters per second faster than Amir.

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

what is the factor form of x^12^18+1

Answers

Answer:

2

6

6

2

3

3

3

3

2

8

0

8

8

5

2

4

3

9

0

4

+

1

Step-by-step explanation:

Answer:  

2 6 6 2 3 3 3 3 2 8 0 8 8 5 2 4 3 9 0 4 + 1

Step-by-step explanation:

explain why a+b=b+a​

Answers

it would answer the same thing because as an example, 1+2=2+1 that would equal the same thing on both sides of the equation

...................

Answers

Answer:

easey, sub them

(x,y)

see if true

(0,1), 2(0)+1>-4, 1>-4, true

(4,-12), 2(4)+-12>-4, 8-12>-4, -4>-4, false

(5,-12), 2(5)+-12>-4, 10-12<-4, -2>-4, true

(-1,-1), 2(-1)+-1>-4, -2-1>-4, -3>-4, true

(-3,0), 2(-3)+0>-4, -6>-4, false

answers are

(0,1)

(5,-12)

(-1,-1)

Hopefully that helped you a little bit :)

Elena ran 20 meters in 5.2 seconds. Priya ran 20 meters in 4.8 seconds.
(Who ran faster? Explain how you know.

Answers

Answer:

Elena

Step-by-step explanation:

5.2 is bigger than 4.8

Answer:

Priya

Step-by-step explanation:

speed=D÷t

speed=Distance÷time

Elena=20÷5.2=3.8m/sec

Priya=20÷4.8=4.2m/sec

In Tyra’s class the ratio of boys to girls is 15 to 8. If there are 16 girls in her class then how may boys are there?



Answers

Answer:

9?

Step-by-step explanation:

im just guessing tho sorry if im wrong

My name is Tyra
Boys girls: 15:8

?:16

The answer is 30.

Solve 5(w-2)=-2(1.5w+5) plz and thank you

Answers

Step-by-step explanation:

5(w-2)=-2(1.5w+5)

5w-10=-3w-10

8w=0

w=O

Answer:

W=0

Step-by-step explanation:

5(w-2)=-2(1.5w+5)

5w-10= -3w-10

5w+3w=-10+10

8w=0

W=0

So the value of w is 0

-19+-16
I know I can use my calculator I just need to know how to do this thanks.

Answers

Answer:

-35

Step-by-step explanation:

lol

PLEASE HELP!! NEEDS TO BE DONE TODAY!!
What are the domain and the range of the graph?

Answers

Answer:

The answer is the 3rd answer.

PLEASE HELP THIS IS DUE TODAY

Answers

She’s in Quadrant 3 at
(-7, -3)

Simplify
1203
52
4 100
551
044
5
421
50
0
127
152

Answers

Answer:

The answer is C

Step-by-step explanation:

I pick that answer because you have divide

You are going to have a quiz with 5 true/false questions next Friday. You
want to find the probability of passing the quiz, if you guess on each
question.
Create a simulation that would represent this situation and complete 10
trials. Show all of your work for full credit.

Answers

If you have 10 choices. You have about a 50 50 of passing or failing. Your chances would be 5/10 Wich would simplify to 1/2

Based on the binomial probability principle, the probability of passing the quiz if all answers are guessed [tex] P(x = k) = 10Ck \times 0.50^{k} \times 0.50^{10-k} [/tex]

Let :

Number of questions passed = kNumber of trials, n = 10Probability of success, p = 1/2 = 0.50q = 1 - p = 1 - 0.50 = 0.50

Using the binomial probability relation :

[tex] P(x = x) = nCx \times p^{x} \times q^{n-x} [/tex]

x = k

Substituting the values into the relation :

[tex] P(x = k) = 10Ck \times 0.50^{k} \times 0.50^{10-k} [/tex]

Hence, the required probability expression is [tex] P(x = k) = 10Ck \times 0.50^{k} \times 0.50^{10-k} [/tex]

Learn more :https://brainly.com/question/23287510

Name the image of C(6,-4) under a rotation 90° about the origin. PLEASE HELP ME :)

Answers

Answer:

(4, 6)

Step-by-step explanation:

90 degree goes counterclockwise so

(6,-4) becomes( 4, 6)

(x,y) rotation 90 or -270 is (-y,x)

Compound inequality

Answers

Answer:

1) Domain: -3<x<∞

Range: -4≤y<∞

2) Domain:-∞<x<∞

Range: -∞<y<∞

3) Domain: 1<x<3

Range: -1<y<∞

4) Domain: -3<x<4

Range: -1<y<4

5) Domain: -3≤x<2

Range: -6<y≤-3

6) Domain: -∞<x<∞

Range:0≤y<∞

Step-by-step explanation:

I'm too lazy to explain this sorry if you really want to know how lmk in comments and try to explain

The first person to solve this correctly gets 40 points and brainliest!!!

Answers

Answer:

0.36363.....

repeating

Step-by-step explanation:

given :

total songs downloaded = 44

total favorite band songs = 16

number of favorite songs out of total songs downloaded

= total favorite band songs ÷ total songs downloaded

= 16 ÷ 44

= 0.3636363636363636363...  (answer for part A)

by observation, we can see that the decimals 36 repeats over and over again and never stops. Hence we can say that the decimal is repeating (Answer for part B)

Let f be a function such that f(2) ≤ f(x) for all values of x in the interval (0, 3). Does f(2) represent a relative minimum or a relative maximum?

Answers

Answer: f(2) is a relative minimum

This is because f(2) is the lowest y output for any given y = f(x) output on the interval [tex]0 < x < 3[/tex] which is what the interval notation (0,3) indicates.

Draw out a "parabolic" like shape where the lowest point occurs at (2, f(2)), where f(2) is unknown, but we at least know that x = 2. I put "parabolic" in quotes because it may not be a true parabola, but it looks like one. This lowest point only applies for the neighbor hood [tex]0 < x < 3[/tex].

Which graph shows the solutions for the inequality x>-2 ?

Answers

I think it’s c bc it’s asking for greater than or equal too

-8x+44\geq 60 \quad \maroonC{\text{ AND}} \quad -4x+50 -2x>−2x, is greater than, minus, 2 (Choice B) B x\leq -2x≤−2x, is less than or equal to, minus, 2 (Choice C) C x=-2x=−2x, equals, minus, 2 (Choice D) D There are no solutions (Choice E) E All values of xxx are solutions

Answers

Answer:

Use a website named  to get math equation answers

Step-by-step explanation:

wuieufheufheufhieuhdsjjdhfjdhjshkjhdjkhjdhfjkdhsjfhjdhskjfds

what is the measure of efg if efh=111?

Answers

Answer:

43°

Step-by-step explanation:

∠EFG+∠GFH=∠EFH

So (3x-20)+(3x+5)=111.You don't need the parenthesis, 3x-20+3x+5=111Combine like terms, 6x-15=111Add 15, 126Divide by 6 to isolate the variable, x=21

∠EFG is (3x-20) and we know x is 21. 3(21)-20=63-20=43.

How do you do this question?

Answers

Answer:

y= 4x -5 x^-1

Step-by-step explanation:

xy'+y=8x

y' + y/x =8

linear DE

integrating factor = e^∫1/x dx = x

y = 1/x ( ∫8x dx +C)

y= 1/x (4x^2 +C)

y= 4x + C x^-1

C is any constant.. in this case -5 is satisfying equation



There are p marbles in a bag.

18 of the marbles are red.

Mary takes at random 40 marbles from the bag.

6 of these 40 marbles are red.

Work out an estimate for the value of p.

Answers

i think it would be 120 but i’m not 100% sure

Before multiplying fractions change any mixed numbers to
[A] decimals
[B] estimated numbers
[C] percent
[D] improper fractions

Answers

D improper fractions my brain said so

9514 1404 393

Answer:

  [D] improper fractions

Step-by-step explanation:

The usual recommendation for doing much of anything with mixed numbers is to change them to improper fractions.

__

However, that isn't always necessary. If you're doing the arithmetic with a calculator, it can be helpful to convert them to decimal numbers.* Sometimes, you can work with mixed numbers by working with the integer and fractional parts separately.

Sometimes a simple rewrite makes working with mixed numbers easier. (That is, converting part of the integer portion to a fraction may be useful in some cases.

Example:

  (29 1/3) × (1/2) = (28 4/3) × (1/2) = 14 2/3

_____

* Some calculators will do arithmetic directly with mixed numbers and/or fractions. If yours doesn't, it can be helpful to memorize the decimal equivalents of a few common fractions: 1/3, 2/3, 1/6, 1/7, 1/9, 1/11 for example. This will help you convert the decimal result back to a mixed number.

A rectangular prism is completely packed with 180 cubes of edge length fraction 1 over 3 inch, without any gap or overlap. Which of the following describes the volume of this rectangular prism?​

Answers

Answer:

180 x 1/3 = 60 rhe answer is 60

Answer: 60

Step-by-step explanation:

can u pls help me with this question ​

Answers

Answer:

Step-by-step explanation:

45 chairs in 3 rows

1 row = 45 /3 = 15 chairs in each row

Answer:

15

Step-by-step explanation:

15 x 3 is 45.

find the number for which 200% is b mins PLZ HELP QUICK

Answers

Answer:

200

Step-by-step explanation:

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