Find the orthocenter for the triangle described by each set of vertices.
K (3.-3), L (2,1), M (4,-3)
Plzz help ASAP!!!​
I'll give brainliest if ur correct​

Answers

Answer 1

Answer:

(2, - 3.5)

Step-by-step explanation:

K(3, - 3)

L(2, 1)

[tex]m_{KL}[/tex] = [tex]\frac{-3-1}{3-2}[/tex] = - 4

Slope of perpendicular line is [tex]\frac{1}{4}[/tex]

y - 1 = - 4(x - 2) ⇔ y = - 4x + 9

Equation of the perpendicular to KL from point M(4, - 3) is

y - (- 3) = [tex]\frac{1}{4}[/tex] (x - 4) ⇔ y = [tex]\frac{1}{4}[/tex] x - 4 ....... (1)

L(2, 1)

M(4, - 3)

[tex]m_{LM}[/tex] = [tex]\frac{-3-1}{4-2}[/tex] = - 2

Slope of perpendicular line is [tex]\frac{1}{2}[/tex]  

y - 1 = - 2(x - 2) ⇔ y = - 2x + 5

Equation of the perpendicular to LM from point K(3, - 3) is

y + 3 = [tex]\frac{1}{2}[/tex] (x - 3) ⇔ y = [tex]\frac{1}{2}[/tex] x - 4.5 ....... (2)

The coordinates of the intersect of lines (1) and (2)

[tex]\frac{1}{2}[/tex] x - 4.5 = [tex]\frac{1}{4}[/tex] x - 4 ⇒ [tex]\frac{1}{4}[/tex] x = 0.5 ⇒ x = 2

y = [tex]\frac{1}{2}[/tex] (2) - 4.5 ⇒ y = - 3.5

(2, - 3.5)

Find The Orthocenter For The Triangle Described By Each Set Of Vertices.K (3.-3), L (2,1), M (4,-3) Plzz

Related Questions

algebra 2 inverse functions

Answers

Answer:

The inverse function is:

{(1,8), (2,-1), (5,10), (-3,-3)}

Step-by-step explanation:

When a function is represented in the form of ordered pairs, the first element of each ordered pair is the input and the second element in each ordered pair is the output. In the inverse of a function the input becomes output and the output becomes input.

Given function is:

{(8,1), (-1,2), (10,5), (-3,-3)}

Reversing the order of elements of ordered pairs will given us the inverse function.

The inverse function is:

{(1,8), (2,-1), (5,10), (-3,-3)}

In a country that only wants girls, every family continues to have children until they have a girl. If they have a boy, they have another child. If they have a girl, they stop. What is the proportion of boys to girls in the country

Answers

Complete Question

In a country in which people only want Girls, every family continues to have children until they have a Girl. If they have Girl, they stop. If they have boy, they will continuous have child. Assuming that the birthrate of Girl is 52%, what is the proportion of Girl in the country?

Answer:

0.52

Step-by-step explanation:

From the question we are told that

52% is the birthrate of Girls

Therefore

       [tex]\frac{52}{100} =0.52[/tex]

0.52 is the proportion of Girls to boys in that country

Admission to the Chesterfield County Fair is $10. Once you are inside, it costs x dollars to go on each ride. When Naomi went to the fair last weekend, she went on 4 rides. Pick all the expressions that represent how much Naomi spent at the fair.

10+4x
40x
4+10x
10+x+x+x+x

Answers

Answer

The answer is 10 + 4x.

Step-by-step explanation:

Our base cost to enter is 10 dollars, and it is 4 dollars for each ride. Therefore, 10 dollars + 4(number of rides) = our total cost that Naomi spent at the fair.

Answer:10+

Step-by-step explanation:

Michelle purchases a pair of jeans for $35 and a dress for $47. The store charges 8% sales tax on all purchases. How much will Michelle need to pay for her purchase, including tax?

Answers

Answer:

Michelle needs to pay $88.56 to pay for her purchase, including tax.

Step-by-step explanation:

The purchasing cost of a pair of jeans = $35

The purchasing cost of dress = $47

The total purchase cost = $35 + $47

                                        = $82

Given that the store charges 8% sales tax on all purchases.

Thus,

Tax amount  = 8% × 82

                      = 8/100 × 82

                      = 0.08 × 82

                      = 6.56

The total cost including the tax = Tax amount + The total purchase cost

                                                    = 6.56 + 82

                                                    = $88.56

Therefore, Michelle needs to pay $88.56 to pay for her purchase, including tax.

please help asap no trolls!

Answers

Answer:

angle wyx that is angle y is largest as it's the opposite angle to the largest side of a triangle

Which expressions are equivalent to 6a(5+d) ?

SELECT EACH CORRECT ANSWER (theres more than 1)

30a+6ad
(6a⋅5)+(6a⋅d)
11a + d
30a+(6a⋅d)
30ad

Answers

Answer:

first, second and fourth

Step-by-step explanation:

If you use distribution,

6a(5+d) is the same as  

6a(5) + 6a(d)

Multiplied =  30a + 6ad

So it's the 1st 2nd and fourth choice.

1st is stated above when multiplied out and combined.

2nd is after distribution.

4th choice is basically combination of 1 and 2 where one is combined (first term) and the second one just set up to be multiplied.

It cannot be third because you are multiplying the factors and not adding so you cannot have 11a.

It cannot be last choice because you have different types of terms that cannot be combined (one with a alone and one with ad)

Answer:

(6a*5) + (6a*d)

30a + 6ad

30a + (6a*d)

Step-by-step explanation:

Hope you ace your test!

What are the solutions of 15 ≤ 5 – 2(4m + 7)

Answers

m< - 29/8
_

Distribute through the parentheses / Move the variable to the left-hand side and change its sign/ Calculate the difference/ Divide both sides of the inequality by /

Answer:

m = (-∞, -3]

Step-by-step explanation:

Solving in steps:

15 ≤ 5 – 2(4m + 7)15 ≤ 5 - 8m - 148m  ≤ - 9 - 158m  ≤ - 24m  ≤ -24/8m  ≤ -3m = (-∞, -3]

Find the area of square that has the same perimeter as a rectangle whose length and breadth are 18cm and 8cm respectively​

Answers

Answer:

169

Step-by-step explanation:

The perimeter of the square and rectangle are said to be the same. Therefore we have to find the perimeter which is :

Perimeter of a rectangle= 2(length+breath)

2(18 + 8)

2(26)

52.

A square has four equal sides.

The length will be determined by dividing 52 by 4

[tex]52 \div 4 = 13[/tex]

The length is 13.

Since the area of a square is

[tex] {l}^{2} = {13}^{2} [/tex]

L is length.

The answer is

[tex] {169}^{2} [/tex]


Could someone help?

Answers

Answer:

you would end up with -7

Step-by-step explanation:

do you need an explanation?

-7

Explanation:

Start at -8

Move to the right 13
*by now your at positive 5*

Move to the left 6
*by now your at -1*

Increase/add 4/ go to the left 4
*by now your at positive 3*

Decrease/subtract 10/ go to the right 10
*by now your at -7*

Therefore your answer is -7

I don’t understand pls help

Answers

Answer:

one solution is the correct answer

Please help if you know it.

Answers

Answer:

[tex]\frac{16n^{6} }{m^{9} }[/tex] is the answer

Step-by-step explanation:

plzz help il give the crown thingys
Steve worked 7 hours Monday, 5 ¾ hours on Tuesday and 3.2 hours on Friday. If Steve earns $8.50 per hour, how much money did he earn for these three days?

Answers

Answer:

135.58 just did this

Step-by-step explanation:

First, I calculated the amount of money he got on Monday. I multiplied. 8.50 x 7 which equals 59.50. Then, I calculated the amount of money he got on Tuesday. I multiplied 8.50 (since that is the number of money he gets paid) to 3.2 (since that’s the amount of hours he works). I got 27.200. Then lastly, I calculated the amount of money he got on Friday. So first I changed 5 3/4 into a decimal. This is 5.75. After, I multiplied 8.50 x 5.75, and got 48.8750.lastly, I added and got 135.575. So if you round it, it will be 135.58

Question 5 of 7 -
Rick will participate in a walk-a-thon to raise money for charity. The amount he will raise based on the number of miles he walks is shown in the table, which represents a linear function
Amount Raised

Answers

Answer:

b and E

Step-by-step explanation:

B.If Rick walks 0 miles, he will raise $60.

E.

For each mile that Rick walks, he will raise an additional $60.

The total amount raised by Rick in the walk-a-thon is shown by the expression y = 60 + 60x.

Given that,
Rick will participate in a walk-a-thon to raise money for charity. The amount he will raise based on the number of miles he walks is shown in the table, which represents a linear function amount raised is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the total amount raised be y,
Amount raised per x mile is 60x,
And initial raise = 60
Total raise = y = 60 + 60x

Thus, the total amount raised by Rick in the walk-a-thon is shown by the expression y = 60 + 60x.


Learn more about simplification here: https://brainly.com/question/12501526

#SPJ6

There is a bag with 10 balls inside it. 2
are footballs, 3 are soccer balls, 1 is a
softball, 2 are baseballs, and 2 are
basketballs. If you were to reach in and
grab one ball, what is the probability
that it is a softball or not a basketball?
Enter your answer in simplest form.

P(softball or not a basketball)=

Answers

The probability of grabbing a ball that is either a softball or not a basketball is 9/10, or 0.9 when expressed as a decimal.

What is probability?

The likelihood or chance of an event occurring is measured by probability. Usually, it is stated as a number between 0 and 1, where 0 denotes an event's impossibility and 1 denotes its certainty.

According to question:

There are 10 balls in total, and 2 of them are basketballs. So the number of balls that are not basketballs is 10 - 2 = 8.

Of these 8 balls, we know that 1 is a softball. So the number of balls that are either a softball or not a basketball is 1 + 8 = 9.

Therefore, the probability of grabbing a ball that is either a softball or not a basketball is:

P(softball or not a basketball) = 9/10

So the probability of grabbing a ball that is either a softball or not a basketball is 9/10, or 0.9 when expressed as a decimal.

To know more about probability visit:

https://brainly.com/question/29221515

#SPJ1

help please thanks very much​

Answers

Answer:

the right answer is 18 because 120 divided by 20 is 6 so the you do 6 times 3

Answer:

the answer is 18

Step-by-step explanation:

20:3=workers:casiers

120:x

cross multiply so that means 3 multiplied by 120 which is 360 divided by 20 which is 18

hope this helps :)

PLS HELP I WILL GIVE BRAINLIEST TO THE FIRST CORRECT ANSWER!!!

In the following lattice bridge, AABC - AECD. The ratio of the
lengths of the corresponding sides in AABC to AECD is 3:4. If
AB=9 meters, what is EC?

- A) 6 m
- B) 9 m
- C) 12 m
- D) 15 m

Answers

Answer:

C or D

dont get me wrong here im the wrong bc this is bassicly taking ur points but it c i think but d is still a good opition I think c

It’s B I’m not sue we

PLEASE PLEASE HELP!!!!

Answers

Answer:

4

Step-by-step explanation:


Apply the distributive property to factor out the greatest common factor.
55 + 35

Answers

Answer:5(11+7)

Step-by-step explanation:

The sum of three consecutive integers is 54. What are the integers? A. 17, 18, 19 B. 17, 19, 21 C. 18, 19, 20 D. 16, 17, 18 ​

Answers

Answer:

Option A: 17,18,19 is the right answer.

Step-by-step explanation:

Let x be the first integer then the next two consecutive integers will be x+1, x+2

According to the given statement, the equation will be:

[tex]x + (x+1) + (x+2) = 54[/tex]

The equation is a linear equation in one variable, we have to solve the equation to get the values of integers

[tex]x+x+1+x+2 = 54\\3x+3 = 54\\3x = 54-3\\3x = 51\\\frac{3x}{3} = \frac{51}{3}\\x = 17[/tex]

Second integer = x+1 = 17+1 = 18

Third integer = x+2 = 17+2 = 19

The three integers are: 17,18 and 19

Hence,

Option A: 17,18,19 is the right answer.

Answer:

option a is the right answear trust

Step-by-step explanation:

846.27 divided by 0.22

Answers

3846.6818 that’s the answer

Consider population data with μ = 40 and σ = 4.(A) Compute the coefficient of variation(B) Compute an 88.9% Chebyshev interval around the population mean. ​What is the upper and lower limit?

Answers

Answer:

The answer is "[tex]10 \% ,\text{upper limit}=52,\ and \ \text{lower limit}=28[/tex]"

Step-by-step explanation:

Given value:

[tex]\mu =40\\\\\sigma=4[/tex]

In point a:

Calculating the value of the coefficient of variation:

[tex]\to C.V= \frac{6}{\mu} \times 100 \%\\\\ \to C.V= \frac{4}{\mu} \times 100 \% \\\\ \to C.V = 10 \%[/tex]

In point B:

when  88.9 \% of the value are lies then  :

[tex]\to \mu \pm 36\\\\\to \mu -36 = 40-3\times 4 = 40 -12 =28\\\\\to \mu +36 = 40+3\times 4 = 40 +12 =52[/tex]

[tex]\text{upper limit}=52\\\\\text{lower limit}=28[/tex]

Use a matrix to solve the system! NEED HELP ASAP

Answers

Step-by-step explanation:

hope this helps, happy learning

please help asap no trolls!!

*this ones a bit harder but i wanna see who gets it right first :)*

Answers

Answer:

[tex]\triangle TRS\ congruent\ to\ \triangle ZYX\\[/tex]

Step-by-step explanation:

[tex]Lets\ consider\ \triangle TRS\ and\ \triangle ZYX\\Hence,\\TR=ZY\\TS=ZX\\RS=XY\\Hence,\\The\ SSS\ Congruency\ Tells\ us:\\'If\ three\ sides\ of\ one\ triangle\ corresponds\ to\ the\ three\ sides\ of\ the\\ other\ the\ triangles\ are\ congruent'\\Hence,\\\triangle TSR\ is\ congruent\ to\ \triangle ZYX.\\Note: We\ cannot\ apply\ SSS\ Congruency\ between\ \triangle TSR/ZYX\\ and\ \triangle HIJ\ as\ HI\ isn't\ equal\ to\ any\ of\ the\ sides\ in\ \triangle TSR/ZYX[/tex]

Determine if the two triangles shown are similar. If so, write the similarity statement.

Question 18 options:


A)
Impossible to determine.


B)
ΔGCB ∼ ΔGFE


C)
The triangles are not similar.


D)
ΔBCG ∼ ΔEFG

Answers

Answer:

C. The triangles are not similar

Step-by-step explanation:

For two triangles to be considered similar, the 3 angles of one triangle must be equal or congruent to the corresponding 3 angles of the others.

The only angle in ∆BCG that is equal to the corresponding angles in ∆EFG is <BGC. The remaining 2 angles in ∆BCG are not congruent to the corresponding 2 angles in ∆EFG.

Therefore, we can conclude that both triangles are not similar.

When was 2011 gone to 2021 what is the difference in years?

Answers

Answer:

10 is the difference

Answer:

Economics gone down and nature gone up

I have been on this problem for 20 minutes!! help!!

Answers

Answer:

I THINK Vertical ( I'm not positive) Goodluck

Answer:

B) Decreasing

It getting smaller every time

You are using an exponential smoothing model for forecasting. The running sum of the forecast error statistics (RSFE) is calculated each time a forecast is generated. You find the last RSFE to be 34. Originally, the forecasting model used was selected because of its relatively low MAD of 0.4. To determine when it is time to re-evaluate the usefulness of the exponential smoothing model, you compute tracking signals. Which of the following is the resulting tracking signal?A) 85B) 60C) 13.6D) 12.9E) 8

Answers

Answer:

A)85

Step-by-step explanation:

Calculation for the resulting tracking signal

Using this formula

Tracking signal= Last forecast error statistics (RSFE) /Low MAD (Mean Absolute Deviation)

Let plug in the formula

Tracking signal=34/0.4

Tracking signal=85

Therefore the resulting tracking signal will be 85

Find the general solution of the given differential equation.y^(4)+18y"+81y=0

Answers

Answer:

The general solution of the given differential equation

[tex]y = ( c_{1} + c_{2} x ) cos3 x + ( c_{3} +c_{4} x) sin3 x[/tex]

Step-by-step explanation:

Step(I):-

Given differential equation

                                   y⁴+18y"+81y=0

                         ⇒    (D⁴+18D²+81)y =0

The auxiliary equation

                               [tex]m^4+18m^2+81 =0[/tex]

                              [tex](m^2)^{2} + 2 (9) m^{2} +(9)^2 = 0[/tex]

        we will use formula  ( a + b)² = a² + 2 a b + b²    

                  ⇒    ( m² + 9 ) ² = 0

                   ⇒    ( m² + 9 ) ( m² + 9 ) = 0

                      [tex]m^{2} =-9\\m= - 3i and m=3i[/tex]

            m² + 9 = 0      

      [tex]m² = -9\\m= -3i and m=3i[/tex]

The complex roots are   0± 3 i ,0 ± 3 i

Step(ii):-

The complementary function  

              [tex]y = e^{\alpha x } ( c_{1} + c_{2} x ) cos\beta x + ( c_{3} +c_{4} x) sin\beta x[/tex]

The general solution of the given differential equation

          [tex]y = e^{0 x } ( c_{1} + c_{2} x ) cos3 x + ( c_{3} +c_{4} x) sin3 x[/tex]

The general solution of the given differential equation

   [tex]y = ( c_{1} + c_{2} x ) cos3 x + ( c_{3} +c_{4} x) sin3 x[/tex]    



             



This equation has one solution.
5(r–1) + 3r =7(r + 1)
What is the solution?

Answers

Answer:

R=12 is the solution

I don't know how to explain but it needs to be 20 characters

Can someone please help me ....An average American throws away 4 to 5 pounds of waste each day. Make an estimate of the number of pounds of waste that is produced in a typical month by each household, if a typical household has 2 to 3 people?

Answers

A typical month is 30 days so each house hold is 8 to 15 pounds a day. And the total is 240 to 450 per month
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