Por favor ayuden con este ejercicio de Geometría Analítica Se tiene un triángulo ABC, donde las coordenadas de sus vértices son A (6, -3) B (9, 7) y C (3, 4). Ubica las coordenadas, grafica el triángulo y determina su tipo considerando la medida de sus lados.

Answers

Answer 1

Answer:

Puesto que [tex]AB\neq BC\neq AC[/tex], entonces se trata de un triángulo escaleno.

Step-by-step explanation:

Procedemos a graficar el triángulo agregando los puntos y los lados correspondientes. Incluimos la construcción en la imagen adjunta abajo.

A continuación, calculamos los lados del triángulo a través del Teorema de Pitágoras:

AB

[tex]AB = \sqrt{(9-6)^{2}+[7-(-3)]^{2}}[/tex]

[tex]AB = \sqrt{109}[/tex]

BC

[tex]BC = \sqrt{(3-9)^{2}+(4-7)^{2}}[/tex]

[tex]BC = \sqrt{45}[/tex]

AC

[tex]AC = \sqrt{(3-6)^{2}+[4-(-3)]^{2}}[/tex]

[tex]AC = \sqrt{58}[/tex]

Puesto que [tex]AB\neq BC\neq AC[/tex], entonces se trata de un triángulo escaleno.

Por Favor Ayuden Con Este Ejercicio De Geometra Analtica Se Tiene Un Tringulo ABC, Donde Las Coordenadas

Related Questions

Two shapes are similar if their corresponding angles are congruent and their corresponding sides are proportional. Triangle ABC is similar to triangle DEF. What conjecture can you make about the two triangles?

A.) Triangle ABC is bigger than triangle DEF.
B.) ∠A≅∠D.
C.) Triangle ABC is smaller than triangle DEF.

Answers

Answer:

B.

Step-by-step explanation:

they would be equal to one another

The solution is Option B)  ∠A ≅ ∠D

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

Given data ,

Two shapes are similar if their corresponding angles are congruent Corresponding sides are proportionalTriangle ABC is similar to triangle DEF

Now , Two shapes that are the same size and the same shape are congruent

And ,

For two triangles to be congruent, one of 4 criteria need to be met

The three sides are equal (SSS: side, side, side)Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Hence , from the given criteria , ∠A≅∠D

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The profit (in millions of dollars) for a producer of electric scooters can be modeled by P=-x^3+7x where x is the number of scooters produced (in millions). Currently the company produces 2 millions scooters and makes a profit of $6,000,000. What lesser number of scooters could the company produce and still yield the same profit?

Answers

Answer:

1 million scooters

Step-by-step explanation:

We are told that the profit (in millions of dollars) for a producer of electric scooters can be modeled by P = -x³ + 7x where x is the number of scooters produced (in millions).

We are told that currently the company produces 2 millions scooters and makes a profit of $6,000,000.

Thus, the profit equation is;

6 = -x³ + 7x

x³ - 7x + 6 = 0

We are given 2 as a root.

Let's try 1.

1³ - 7(1) + 6 = 0

0 = 0

So 1 is a root.

Thus, the lesser number of scooters the company could produce and still yield the same profit is 1 million scooters

raul can read 12 pages in half an hour​. Find the unit rate

Answers

Answer:

2.5 per minute

Step-by-step explanation:

Hope this helps.

2.5 pages per minute
30min / 12 pages= 2.5 pages per min

When a baby was born, he weighed 5.2 pounds, After two weeks, he
weighs 7.8 pounds. What is the percent of increase in the baby's weight
from the time he was born to two weeks later? *

Answers

Answer:How much weight should newborns gain?

A healthy newborn is expected to lose 7% to 10% of the birth weight, but should regain that weight within the first 2 weeks or so after birth. During their first month, most newborns gain weight at a rate of about 1 ounce (30 grams) per day.

Step-by-step explanation:


As an estimation we are told £3 is €4.
Convert £27 to euros

Answers

To convert £27 to euros we must figure out the conversion rate of £ to € by dividing 4/3
4/3=1.3 recurring
then we times the £27 by 1.3 recurring
27x1.3 recurring = 36

Therefore £27 in euros is €36

e. A person walked x feet and then half

that length again.

Answers

Answer:

3x/2 feet

Step-by-step explanation:

It is given that, a person walked x feet and then half of that length again. We need to find total distance covered by him.

Total distance covered = sum of path travelled

Initial distance = x feet

Extra distance covered = (x/2) feet

Total distance = x+x/2 = 3x/2 feet

So, he will cover 3x/2 feet.

Imani is training for a half marathon. The graph shows her distance during a 60-minute practice run.

Answers

Answer: I’m going with Answer A, since every other option seems to be supported other than Answer A

I’m going with Answer A, since every other option seems to be supported other than B.

What is Marathon?

Around 490 BC, when the Persians invaded Greece, the marathon was first performed. The most well-known narrative concerns Pheidippides, a Greek messenger tasked with telling the Athenians of the Greeks' victory over the Persians at the Battle of Marathon.

Pheidippides went off on foot and ran nonstop because he thought the assignment was vital. He stormed into the government meeting at the city's gates, declared the Greek victory, then collapsed on the ground and passed away from weariness.

The longest southern path between the two cities, Greece and Athens, is around 40.8 kilometers long.

Therefore, I’m going with Answer A, since every other option seems to be supported other than B.

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please help me find what to plot for this (no decimals )

Answers

Answer:

(0, 6), (4, 5)

Step-by-step explanation:

graph (0, 6) first, then from those points go down -1 and over 4 to get (4, 5)

I know the answer to a but the answer to b I can’t do
I don’t know why

Answers

Answer:

x=4

Step-by-step explanation:

I used cross multiplication

7+2x/3=5

7+2x/3=5/1

7+2x(1)=5(3)

7+2x=15

2x=15-7

2x=8

x=4

Answer:

x = 4

Step-by-step explanation:

The goal is to get x by itself.

1. Multiply both sides by 3 and you are left with:

7 + 2x = 15

2. Subtract 7 from both sides and you are left with:

2x = 8

3. Simplify by dividing each side by 2 and you are left with the answer:

x = 4

-45 + s = -105, s =
what is the answer

Answers

Answer:

-60

Step-by-step explanation:

s=-105+45

=-60

hope it helps

explain how to do this problem the easy way my teacher didnt teach us this much of it

Answers

Let’s make a number line

0. 1/5. 2/5. 3/5. 4/5. 1
——————————————

4/5 is closer to 1 so we can round it to 1.

1 8/9 can be separated into 1 + 8/9

Here is another number line

0. 1/9. 2/9. 3/9. 4/9. 5/9. 6/9. 7/9. 8/9 1
—————————————————————

8/9 is closer to 1, so we can round it to 1.

Now we have 1+1 = 2

The question asks us to multiply both fraction using the estimations.

So instead of,
4/5 x 1 8/9.

We use
1 x 2,
Which is =2

(So the answer is 2 or b)

According to the synthetic division below, which of the following statements
are true?
Check all that apply.

Answers

The question is not complete, so i have attached it.

Answer:

Options A, B & E are correct

Step-by-step explanation:

In the synthetic division attached, we see that:

: 2 , -2 & -12 are the coefficient of the dividend of the function 2x² - 2x - 12

: The divisor is 3

Thus;

x = 3 is a root of f(x) = 2x² - 2x - 12

Thus, (x - 3) is a factor of the dividend which is the function f(x) = 2x² - 2x - 12

- Now, from the attached image, the coefficients of the quotient are 2 , 4

- The quotient will be 1 degree less than the dividend since it was divided by the factor (x - 3)

The degree of the dividend will be 2 since it contains x²

Thus, the degree of the quotient will be 1

Therefore, the quotient in factor form is (2x + 4)

Looking at the given statements in the options;

- Option A is true, because we have established earlier that 3 is a root of f(x) = 2x² - 2x - 12

- Option B is true because we have established that (x - 3) is a factor of 2x² - 2x - 12

- Option C is not true because the factor is (x + 3) and not (x - 3)

-Option D is not true because the root is 3 and not -3

- Option E is true because we have established that quotient as a factor is: (2x + 4)

Thus, the correct options are A , B , E

Write, in slope intercept form, the equation of the line that passes through (8, -9) and has a slope of -5/4.

Answers

Answer:

The equation in the slope-intercept form will be:

[tex]y=-\frac{5}{4}x+1[/tex]

Step-by-step explanation:

Given

slope = m = -5/4point = (8, -9)

As we know that the equation of a line in point-slope form is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = -5/4 and point = (8, -9)

[tex]y-\left(-9\right)=\frac{-5}{4}\left(x-8\right)[/tex]

[tex]y+9=\frac{-5}{4}\left(x-8\right)[/tex]

Writing the equation in slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

[tex]y+9=\frac{-5}{4}\left(x-8\right)[/tex]

subtract 9 from both sides

[tex]y+9-9=\frac{-5}{4}\left(x-8\right)-9[/tex]

[tex]y=-\frac{5}{4}x+1[/tex]

Therefore, the equation in the slope-intercept form will be:

[tex]y=-\frac{5}{4}x+1[/tex]

do you play fornite
9if yes then add me
r5qtrr

Answers

No I don’t play Fornite sorry

Answer:

i do but cant now

Step-by-step explanation:

i accedentaly wrote this

Answers

Answer:

uh

Step-by-step explanation:

You are riding a train. Your carry-on bag can weigh no more than 50 pounds. Your bag weighs 38 pounds.
Which inequalities represent how much weight you can add to your bag?
W > 50 - 38
50 > W - 38
38 + w < 50
W < 50 - 38
Can you add both a 9-pound laptop and a 5-pound pair of boots to your bag without going over the weight limit?
Yes, the total being added is 4 pounds, which is a solution of the inequality
No, the total being added is 14 pounds, which is not a solution to the inequality
Yes, the added weight needs to be less than 38 pounds, and 9 plus 5 is less than 38.
No, the added weight needs to be at least 38 pounds, and 9 plus 5 is less than 38.

Answers

Answer:

Let the additional weight that can be added be = x

Current weight of the bag = 38 pounds

Total weight can be = 50 pounds

The equation becomes:

38+x < or equal 50

x < or equal 50-38=12

Hence, a weight of 12 pounds cab be added to the current wight.

PLEASE I NEED HELP PLEASE 1. The table below shows 3 recipes for a fruit punch
flavored drink. Will all 3 recipes taste the same? (hint:
Write each ratio as a fraction then simplify to see which
are equivalent ratios)
2. Will any of them taste different?

Be sure to use the vocabulary word: EQUIVALENT
RATIOS in your answer.
water
cups
1
3
4
12
1
6
18
OR

Answers

Answer:

1. It can clearly observed that all the ratios that are written in fractional form simplify to same fraction which means that all the ratios are equivalent.

2. None of them will taste different as the ratios are same.

Step-by-step explanation:

First of all we have to write the three ratios as fractions to see if the ratios are equivalent ratios or not.

We will see the water to cups ratio

The ratios in fractional form are:

[tex]=\frac{1}{3}\\=\frac{4}{12}\\=\frac{6}{18}[/tex]

Putting all the ratios together

[tex]\frac{1}{3} = \frac{4}{12} = \frac{6}{18}\\\frac{1}{3} = \frac{1}{3} = \frac{1}{3}[/tex]

1. It can clearly observed that all the ratios that are written in fractional form simplify to same fraction which means that all the ratios are equivalent. All the recipes will taste same.

2. None of them will taste different as the ratios are same.

brainlest!!!
u have to answer all three all the choices are the same please help 1 hour to complete

Answers

Answer:

1st graph: x ≤ -5

2nd graph: x > -5

3rd graph: x ≥ -5

4th graph: x > 5

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

[tex]first \: graph \\ x \leqslant - 5 \\ \\ second \: graph \\ x > - 5 \\ \\ third \: graph \\ x \geqslant - 5 \\ \\ fourth \: graph \\ x > 5[/tex]

Solve the simultaneous equations:

5x+4y=5
2x+7y=29

Answers

Answer:

x=−3 and y=5

Step-by-step explanation:

Simplify the expression.
-3(-8-2v+2v) (easy 10 points!)

Answers

Answer:

24

Step-by-step explanation:

Answer: 24

Explanation:

Solve these with the distributive property, (or just solve them), thank you in advance! :L
(There are choices so please use those)
3.5 (11) + 1.9 (11) + 1.6 (11)
40
77
4,096
9,317
20 + 3 (7 + 4) + 5 + 2 (7 + 9)
73
90
290
365

Answers

Answer:

3.5(11) means 3.5 times 11? in that case

Step-by-step explanation:

first one roughly = 35+19+16....then you can see 77 is the closest, even without calcatulor

second one precisely==20+33+5+38.....then you can see that 90 is roughly the closest one, again even without to add those 4 togetherly precisely

Solve for x if 2(5x + 2)2 = 48.

Answers

Answer:

Answer 3.

Step-by-step explanation:

took the quiz on edge

Answer:

c

Step-by-step explanation:

Consider the line y = 3x - 1.
Find the equation of the line that is perpendicular to this line and passes through the point (-8, 3)
Find the equation of the line that is parallel to this line and passes through the point (-8, 3).

Answers

Answer:

y = -1/3x + 1/3

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals.

The given line is

y = 3x - 1

This equation is written in the slope-intercept form, y = mx + b, where m is the slope.

slope of given line = m = 3

slope of perpendicular line = -1/3

Now we need the equation of the line with slope -1/3 that passes through the point (-8, 3)

y = mx + b

y = -1/3x + b

3 = (-1/3)(-8) + b

3 = 8/3 + b

9/3 = 8/3 + b

b = 1/3

y = -1/3x + b

y = -1/3x + 1/3

plz help me on this its due soon

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Tessa invests $5400
$

5400
in a new savings account which earns 5.2%
5.2
%
annual interest, compounded monthly. What will be the value of her investment after 8
8
years? Round to the nearest cent.

Answers

With Unparalleled Trading Conditions, Start Your...

Select the correct answer. Solve the following equation for x.

15 x ^2 - 46 x + 16 = 0

A.) x = 8/3, -2/5
B.) x = 8/3, 2/5
C.) x = -8/3, -2/5
D.) x = 3/8, 2/5​

Answers

Answer:

the answer is D

What measurement is the quantity of mass per unit volume?

Volume
Temperature
Mass
Density

Answers

Density is the correct answer.

Answer:

i thank this will help sorry if this is not right it is density.

Step-by-step explanation:

4x < 2(x+5)
What is x

Answers

Answer:

so the answer must be 8

Step-by-step explanation:

4×-2(×+3)=8

What is the length of WZ? *

WZ = 7.5
WZ = 17.5
WZ = 15
WZ = 12.5

Answers

The answer of the length is 15

true or false stats question

1) correlation for averaged data is higher than that for the individual observations
true or false??

Answers

Answer:

true

Step-by-step explanation:

True would the answer
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