The two vertices of a triangle are B(-3,1) and C(2,-2). If the coordinates of the intersection point H of the three heights are (9/11, 4/11), try to find the coordinates of another vertex A.​

Answers

Answer 1

Answer:

(3,4)

Step-by-step explanation:

Find the equation of BH.  (x+3)/(9/11+3)=(y-1)/(4/11-1)

(x+3)/(42/11)= (y-1)/(-7/11)

(x+3)*11/42= (y-1)*11/-7

x+3= -6(y-1)

x+3=-6y+6

y=-1/6x+1/2

m1=-1/6

AC:   y=m2x+b

m1*m2=-1 (for perpendicular lines)

-1/6m2=-1

m2=6

-2=6*2+b

b=-14

y=6x-14

Find CH

(x-2)/(9/11-2)= (y+2)/(4/11+2)

(x-2)/(-13/11)= (y+2)/26/11

(x-2)*-11/13=(y+2)*11/26

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

-2x+4=y+2

y=-2x+2

m3=-2

AB: y=m4x+b

m3*m4=-1

-2*m4=-1

m4=0.5

Take the point B from AB

1=-3*0.5+b

b=2.5

y=0.5x+2.5

A is the point of intersection of two linesAB and AC

We have simultaneous equations

y=6x-14

y=0.5x+2.5

6x-14=0.5x+2.5

5.5x=16.5

x=3

y=6*3-14=4


Related Questions

Find the sum of the even numbers from 1 to 300
a) 14,280
b) 22,650
c) 16,100
d) 15,460

Answers

Answer:

The answer is 22,650

So, option b for you

Step-by-step explanation:

To find the sum of even numbers from 2 to 300, the formula we use is,

N ( N + 1 )

Where N is given by,

N = [( first number + last number)/2] - 1

So here, N = [ (2 + 300 ) / 2 ] - 1 = 150

And hence Sum = 150 * 151 = 22650

PLEASE HELP MEEEEEEEEEEEEEEEEE​

Answers

Answer:

A. .25

B. .95

C. .75

D. .42

Step-by-step explanation:

A 25
B 95
C 75
D 40

Mark as brainlist please

A water wheel has a radius of 18 feet. the wheel is rotating at 5 revolutions per minute. find the linear speed, in feet per minute, of the water

Answers

Answer:

The linear speed is

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

we have

substitute

step 2

Find the linear speed in feet per minute

we know that

The wheel is rotating at 10 revolutions per minute

Convert revolutions to feet

Remember that

One revolution is equal to the circumference of the circle

so

10 revolutions is equal to

therefore

The linear speed is

A line passes through the point (-4,-6) and has a slope of -5/2. Write an equation in slope intercept form for this line

Answers

Answer:

y= -5/2x-16

draw the point on the graph and use rise over run to find the y intercept

Answer:

y= -5/2x-16

Step-by-step explanation:

hope it helps

hope its right :)

There are 15 people expected for a dinner. If 3 ounces of corn serve 1 person and 1 can of corn is 9 ounces, how many cans of corn should be bought for the dinner?

Answers

Answer:

5 cans

Step-by-step explanation:

First multiply 15 by 3 to see how many ounces are needed in total: 15x3=45

Then divide 45 by 9 to see the amount of cans: 45/9=5

Students in Ms. Bell’s geometry class created posters of geometric definitions. Which of the following is the most precise definition?


A. Parallel lines are lines that do not intersect.

B. A line segment is part of a line that has an endpoint.

C. Perpendicular lines are lines that intersect at a right angle.

D. An angle is formed by two lines, two segments or two rays in one plane.

Answers

Answer:

C

Step-by-step explanation:

D is missing 2 ideas.

An angle can be formed by a mixture of the types of figures quoted.An angle has common or shared endpoint.

B: to me is unclear. A line does not have an endpoint. A ray does.

A: you need to mention that the lines are coplanar.

I think, brief though it is, C is the most complete and at the same time simplest choice.

write and solve an equation to find the value of X. please explain in details and show your work!

Answers

Answer:120 degrees

Step-by-step explanation:

helpppp timed on this helppp me quick brainleast

Answers

Answer:

Answer 1

Step-by-step explanation:

Hey here! This is your answer:

L = 9

Step-by-step explanation:

Using the formula A = wl we can figure out this question.

[tex]l=\frac{A}{W} = \frac{36}{4} =9[/tex]

2x ^ 4 What is being raised to the exponent ?

Answers

The power 4 is being raised to the EXPONENT

Answer:

x

Step-by-step explanation:

Given

2[tex]x^{4}[/tex] ← the exponent 4 is attached to the variable x only

[tex](2x)^{4}[/tex] = [tex]2^{4}[/tex] [tex]x^{4}[/tex]  where the 4 is attached to both the 2 and the x

5) If point M is (-3,-1) and point P is (2,8), what is the y-coordinate of the midpoint of MP ?

Answers

Answer:

Find the equation with a point and y-intercept.

y=(yx−5x)x+5

Step-by-step explanation:

Take 9 numbers forming a calendar and mark 4 number corner. Add the square of diagonal pair and difference of the sum​

Answers

Hope I helped you enjoy your day

1 - 5(x+2)=10+5x

2- 7/8 (48x-8)+4=3(5x-19)

Answers

9514 1404 393

Answer:

infinite solutionsx = -2

Step-by-step explanation:

1. The equation simplifies as follows:

  5(x +2) =10 +5x

  5x +10 = 5x +10 . . . . . eliminate parentheses, write in standard form

  0 = 0 . . . . . . . . . . . . . . subtract 5x+10 from both sides

This is true for all values of x. Any value of x is a solution to this equation. There are an infinite number of solutions.

__

2. 7/8(48x -8) +4 = 3(5x -19) . . . . given

  42x -7 +4 = 15x -57 . . . . . . . . eliminate parentheses

  25x = -50 . . . . . . . . . . . . . add 7-15x to both sides

  x = -2 . . . . . . . . . . . . . . divide by 25

Check

  7/8(48(-2) -8) +4 = 3(5(-2) -19) . . . . substitute for x

  7/8(-96 -8) +4 = 3(-10 -19)

  7/8(-104) +4 = 3(-29)

  -91 +4 = -87 . . . . . . . . . . true

write rhis number in standard notation. 1.342×10^-7​

Answers

Answer:

0.0000001342

Step-by-step explanation:

√400=x² what is x? Thanks

Answers

Answer:

x=4.47213

I hope it's helps you

Can a triangle be formed with side lengths of 2inches, 3 inches, and 6 inches?

Answers

The shows the 2 and 3 inch line segments at a
180
o
angle. There is no angle you can put the 2 and 3 inch line segment at which will allow it to be 6 in. long.
This will not be possible because triangles should have two sides that are the same length in order to be a regular triangle.

In a competitive examination negative marks of 2 are awarded for each wrong answers and 4 marks for every correct answer. If neerav gets 15 correct answers and 5 wrong answers and rajan gets 14 correct answers and no wrong answers, who gets more marks and by how much?

Answers

9514 1404 393

Answer:

  Rajan gets 6 marks more

Step-by-step explanation:

Neerav's marks are (15)(4) +(5)(-2) = 60 -10 = 50.

Rajan's marks are (14)(4) = 56.

Rajan gets 6 more marks than Neerav.

Three times the sum of a number and 2 is the same as three-fifths of the sum of the same
number and 22. What is the number?

Answers

Answer:

3

Step-by-step explanation:

3(n+2)=3/5(n+22)

3n+6=3/5n+66/5

3n-3/5n = 66/5 - 6

2.4n = 7.2

n = 7.2/2.4

n = 3

Point H is located at (-3,-2) on the coordnate plane. Point H'. What ordered pair describes the location of H'?

Answers

Answer:

You bought a

Step-by-step explanation:

Please Help!!! Will give brainliest

Answers

Answer:

except of (g) all limits exist

Step-by-step explanation:

All the solutions are in the picture.

this isn’t a question but to everyone who’s actually good at math thank you so much for taking the time to answer these questions.

Answers

Answerurdsrd d e

Step-by-step explanation:

Please help with this question

Answers

Answer:

bdjjirलअाफखनल पनपअ लbबजदहडनदजडनफjnnkdffruidirbttjt tjrjnf h

Step-by-step explanation:

uuhsbd?eg\bnothing hereafter hgbg

A tower is 320 feet tall. A model is being built for an architecture project and the model is 8 inches tall. Write the
information that completes the scale for the model. Complete them so the 320 foot height of the tower and the 8 inch height
of the model are still valid for every case.
16 inches : ______ feet

Answers

Answer:

640 feet

Step-by-step explanation:

8 = 320

16 = 640

Answer:

640

Step-by-step explanation:

8-->16

320-->640

Joshua spent 3/100 of the money he earned from mowing lawns on a gift for his mother.com what percent of his earning did Joshua spend?

Answers

He spent 3% of his money!

Answer:

3%

How did I get it?

3/100 as a decimal is 3% (3%/100)

Math- what’s 2+2 and how is it calculated

Answers

Answer:

4

Step-by-step explanation:

we have 2oranges from you and another 2oranges from your friend, you have 4oranges, simple

please help me answer this question.

Answers

Answer:

702 feet

Step-by-step explanation:

(24×27)+(9×6) = 702

help me plz branniest to whoever right

Answers

[x+(-2)]÷2=5
(y+6)÷2=8

x=12
y=10
(x, y)=(12, 10)

Hope my answer helped u :)

A student says that if 5x2 = 20, then x must be
equal to 2. Do
you agree or disagree with the
student? Justify your answer.

Answers

Answer:

I agree with the student's answer. "x" cannot be -2 because then it would make -20 which is not equal to 20:

5(-2)(2) = ?

-10 x 2 = ?

? = -20

-20 ≠ 20

Step-by-step explanation:

Justificaiton:

5(x)(2) = 20

10(x) = 20

10/10(x) = 20/10

x = 2

Second Justification:

5(x)(2) = 20

5/5(x)(2) = 20/5

2x = 4

2x/2 = 4/2

x = 2

Answer:

Step-by-step explanation:

a student multiplied 7236 by 65 instead of multiplying 56 . by how much was the answer greater than the correct answer (hint : do you need to do both the multiplication)​

Answers

Answer:

65124

Step-by-step explanation:

The student's solution when he/she multiplied the wrong given:7236 × 65= 470340The student's solution when he/she multiplied the correct given: 7236 × 56= 405216Measure how much was the wrong answer greater than the correct answer:470340 - 405216= 65124

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

how to answer tyhis question plz i need help quick

Answers

In your problem, the aqueduct rises 3 meters (Rise= 3) for every kilometer (1,000 meters) in length (Run = 1,000), so the slope is Rise/Run=3/1000=0.003.

Does this help?

Suppose an ATM PIN must consist of 6 numbers from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, with repeats allowed. For example, an acceptable PIN could be 955123.
1. How many possible ATM PINs are possible?
2. If someone had one attempt to guess an ATM PIN, what is the probability they would guess correctly with one attempt?

Answers

Answer:

1) the no. of possible pins are 6×5×4×3×2×1

=720

2) the probability is 1/720

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