Find the length of each side of the triangle determined by the three points P1,P2,P 1,P 2, and P3. P3 State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both. (An isosceles triangle is one in which at least two of the sides are of equal length.) P1=(−1,4);P2=(6,2);P3=(4,−5)P 1=(−1,4);P 2=(6,2);P 3 =(4,−5).

Answers

Answer 1

Answer:

IT IS BOTH

Step-by-step explanation:

Given the coordinate of the triangle, P1P2P3, we are to classify the triangle. To do that we need to know the length of each side of the triangle

P1P2, P2P3 and P1P2 using the formula for calculating distance between two coordinates

D = √(x2-x1)²+(y2-y1)²

For P1P2;

P1=(−1,4) P2=(6,2)

P1P2 = √(6-(-1))²+(2-4)²

P1P2 = √7²+2²

P1P2 = √53

For P1P3;

P1=(−1,4) P3=(4,-5)

P1P3 = √(4-(-1))²+(-5-4)²

P1P3 = √5²+9²

P1P3 = √25+81

P1P3 = √106

For P2P3;

P2=(6,2) P3 = (4,-5)

P2P3= √(4-6)²+(-5-2)²

P2P3 = √2²+7²

P2P3 = √53

Since two sides of the triangles are the same, this means that it is an isosceles triangle.

Let's check whether it is right angled by applying Pythagoras theorem

(√53)²+(√53)² = x²

x is the longest side (hypotenuse)

53+53 = x²

106 = x²

x = √106

Since the square of the hypotenuse is equal to the sum of the sum of the square of other two sides, then it is also a RIGHT ANGLED TRIANGLE


Related Questions

what is -2(4n - 1) +15
I think that it is -8n - 13 but i am not sure plz help

Answers

Answer: Your right!

-8n-13

Step-by-step explanation:

-2(4n-1)+15=

-8n+2-15

Combine like terms- 2-5= -13

so -8n-13


Part A

The table that shows a proportional is the __ table

A. Cost of movies
B. Photo album
C. Minutes read
D. None of the tables are proportional


Part B

The constant proportionality is ___?

A. 5
B. 10
C. 15
D. 20

Answers

Answer:

minutes read and 20

Step-by-step explanation:

math

En una baraja completa de naipes ingleses (108 naipes), se selecciona un naipe, ¿Cuál es la probabilidad de que esta sea un joker rojo? En las votaciones para alcalde de la ciudad "Copito de Nieve" en una de las urnas, la probabilidad de sacar un voto para el candidato A es de 0,3, mientras que la probabilidad de obtener un voto para el alcalde B es de 0,5 ¿Cuál es la probabilidad de seleccionar un voto nulo o blanco? La probabilidad de que, al seleccionar una persona, esta guste del basquetbol es de 0,5, la probabilidad de que esta guste del futbol es de 0,7, la probabilidad de seleccionar a alguien que guste de alguno de los dos deportes es del 0,85 ¿Cuál es la probabilidad de seleccionar a una persona que guste de ambos deportes?

Answers

Answer:

En una baraja completa de naipes ingleses (108 naipes), se selecciona un naipe, ¿Cuál es la probabilidad de que esta sea un joker rojo?

Por cada baraja de naipes de 54 cartas hay 1 joker rojo. Si esta baraja tiene 108 cartas, entonces habran 2 joker rojos.

Probabilidad de sacar 1 joker rojo = 2 / 108 = 1 / 54 = 0.185185 = 1.85%

En las votaciones para alcalde de la ciudad "Copito de Nieve" en una de las urnas, la probabilidad de sacar un voto para el candidato A es de 0,3, mientras que la probabilidad de obtener un voto para el alcalde B es de 0,5 ¿Cuál es la probabilidad de seleccionar un voto nulo o blanco?

probabilidad de sacar un voto nulo o blanco = 1 - probabilidad de sacar un voto para el alcalde B - probabilidad de sacar un voto para el candidato A = 1 - 0.5 - 0.3 = 0.2 = 20%

La probabilidad de que, al seleccionar una persona, esta guste del basquetbol es de 0,5, la probabilidad de que esta guste del futbol es de 0,7, la probabilidad de seleccionar a alguien que guste de alguno de los dos deportes es del 0,85 ¿Cuál es la probabilidad de seleccionar a una persona que guste de ambos deportes?

probabilidad que le gusten los dos deportes = probabilidad que le guste el futbol x probabilidad que le guste el basquetbol = 0.5 x 0.7 = 0.35 = 35%

Edward deposited $6,500 into a savings account 2 years ago. The simple interest rate is 3%. How much money did Edward earn in interest?

Answers

Answer: Hope it helps

$195

Step-by-step explanation:

You just multiply 6,500 times 3%

6,500 times 3%=195

Admission to the movies is $11. Mr. Cluff buys cotton candy for $6.50 each. He has $40 and MUST bring home change. Write the inequality.

Answers

11 + 6.50x is less than or equal to 40

Help!! Will give the amazing crown!!

Answers

Answer:

[tex] - \frac{58}{20} < - \sqrt{8} < \frac{17}{22} < 0.78[/tex]

Step-by-step explanation:

There you go, have a good day

In 4 hours, the temperature steadily fell from 0°F to −12°F. What was the opposite of the average change in temperature per hour? HELP NEEDED NOW PLEASE

Answers

I think that If the average is -3 then the opposite would be 3 per hour.

What is the completely factored form of 6 x squared minus 13 x minus 5? (2x - 5)(3x + 1) (2x + 5)(3x - 1) (2x - 1)(3x - 5) (2x + 1)(3x + 5)

Answers

Answer:

( 2x - 5) ( 3x + 1)

Step-by-step explanation:

6[tex]x^2[/tex] - 13x - 5

( 2x - 5) ( 3x + 1)

just guess and check

Answer:

A:   (2x - 5)(3x + 1)

Step-by-step explanation:

Let f(x) = -2x + 6 and g(x) = 5x - 7.
Find f+g
a 3x - 1
(b 7x -
© 3x + 13
d -10x - 35

Answers

Answer:

a) 3x - 1

Step-by-step explanation:

f(x) + g(x)

(-2x + 6) + (5x - 7)

Drop the parentheses

-2x + 6 + 5x -7

5x and -2x can be combined as well as 6 and -7

So, 3x -1

This month the Middle School Media newspaper has 25 pages. Twenty-five schools order the paper for each of their students. Each of the schools has 25 classrooms with 25 students in each classroom. What expression with an exponent shows the total number of pages in all of the newspapers? Explain how you found the answer. Use words, numbers, and/or pictures to show your work. Write your answers on the paper provided. I will give brainiest to best answer.plz help

Answers

Answer:

The total number of pages in all the newspaper is 390,625 pages

Step-by-step explanation:

The number of pages in the newspaper = 25 pages

The number of schools ordering the newspaper = 25 schools

The number of class rooms in each school = 25 classrooms

The number of students in each classroom = 25 students

Therefore;

The total number of pages in all the newspaper = 25 pages per paper × 25 schools × 25 classroom per school × 25 students per classroom

The total number of pages in all the newspaper = 25 × 25 × 25 × 25 = 25⁴

The total number of pages in all the newspaper = 25⁴ = 390,625 pages

How can you tell that a point on a graph is neither a minimum or maximum?

Answers

Step-by-step explanation:

i think zero lol i dont know this is wrong or correct lol

Critical points can also be inflection points and you will have the slope changing signs, but the point is neither max nor min, it is just where the graph changes from concave up to concave down (the derivative there is either 0 or undefined).

Is 5/18 a rational number ?

Answers

Answer:

5/18 is a rational number because a rational number is any integer,fraction terminating decimal,or repeating decimal.

5/18 is rational number.

What is Rational Number?

The word "ratio" is where the word "rational" first appeared. Rational numbers are therefore closely tied to the idea of fractions, which stand for ratios. In other terms, a number is a rational number if it can be written as a fraction in which the numerator and denominator are both integers.

Any number of the form p/q, where p and q are integers and q is not equal to 0, is a rational number. The letter Q stands for the set of rational numbers. Look at the following illustration to see what a rational number looks like.

Given:

5/18

For rational we need to first divide the fraction and then check whether the fraction is a decimal or not.

Or if it is a decimal then it is terminating or non terminating

5/18 = 0.2777777777777778

Hence, it is terminating  because rational number is any integer, fraction terminating decimal or repeating decimal.

Learn more about rational number here:

https://brainly.com/question/24398433

#SPJ2

Choose an equivalent system of equations to the following system:

Fx + Gy = H
Qx + Ry = S

Answers

Answer:

Fx+Gy=H

Step-by-step explanation:

Y’all please help I have so many missing assignments and it would help if you even did one question for my homework

Answers

Answer:

Step-by-step explanation:

If a number a is always less than another number b, which of the following expressions expresses their relationship?

a>b

a≥b

a≤b

a

Answers

Answer: a<b

Step-by-step explanation:

Given statement: "a number a is always less than another number b."

We use "<" or ">" sign to show less than or more than comparison in a mathematical statement.

If a is less than b then it can represented as

a < b

The expressions expresses the relationship between a and b would be:

a < b

Answer:

a<b

Step-by-step explanation:

alagatter

The graph shows a dilation of trapezoid TRAP with respect to the origin.


Which statements are true about the figures? Select three options.

The factor of dilation is .
The ratio of the perimeter of TRAP to the perimeter of T'R'A'P' is .
The ratio of the x-coordinate of P’ to the x-coordinate of P is .
The ratio of PT to P'T' is .
The ratio of the y-coordinate of R’ to the x-coordinate of R is .

Answers

Answer:

The factor of dilation is .

The ratio of the perimeter of TRAP to the perimeter of T'R'A'P' is .

The ratio of PT to P'T' is .

first, second, fourth

Step-by-step explainition:

I think this is right

Answer:

The answers are A,C, and D

Step-by-step explanation

What is the equation of the line in slope-intercept form?

Answers

Answer:

y = 4/3x + 4

Step-by-step explanation:

y = mx + b is the formula for finding the slope intercept form equation

m = slope

b = y intercept

If you look at points (-3, 0) and (0, 4), you can calculate the slope

You have to go over, from point (-3, 0), 3 times, and up four to get to the point (0, 4)

Slope is change in y over change in x, so, if we look to see where the line crosses the y-axis, or vertical axis, we can see it reach the number four on the y-axis, b = 4

Now, lets create your equation...

y = 4/3x + 4

-2x + 15 = 7
Show your work steps and the solution

Answers

Answer:

x=6

Step-by-step explanation:

-2x+15=7

-2x=7-15

-2x=-8

x=-8/-2

x=6

Answer:

-2x+15=7

-15 -15

-2x = -8

_ _

-2 -2

answer is x=4

A rollercoaster rises 120 feet into the air before dropping 140 feet. Describe the height of the
rollercoaster

Answers

260 feet. You add the rise and the drop.

Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of popcorn each. If the friends spend a total of $62.50, how much does each small bag of popcorn cost? Write and solve an equation.

Answers

Answer:

$4.50

Step-by-step explanation:

Find the reciprocal of 4/11

Help me fats I will mark u brainless

Answers

Answer:

11/4

Step-by-step explanation:

reciprocal is flipping it

Katelyn is training for a marathon. This week she ran 6 miles less than 2 times the number of miles she ran the previous week. She ran a total

of 42 miles in the two weeks.

Which system of equations can be used to find the number of miles she ran this week, r, and the number of miles she ran the previous week,

p?

Answers

Answer:

The system of Equations =

r = 2p - 6........ Equation 1

r + p = 42 ........Equation 2

Hence:

the number of miles she ran this week = r = 26 miles

the number of miles she ran the previous week = p = 16 miles

Step-by-step explanation:

Let the number of miles:

the number of miles she ran this week = r

the number of miles she ran the previous week = p

Katelyn is training for a marathon. This week she ran 6 miles less than 2 times the number of miles she ran the previous week.

r = 2 × p - 6 miles

r = 2p - 6........ Equation 1

She ran a total of 42 miles in the two weeks.

r + p = 42 miles

r + p = 42 ........Equation 2

Which system of equations can be used to find the number of miles she ran this week, r, and the number of miles she ran the previous week,p?

The system of Equations =

r = 2p - 6........ Equation 1

r + p = 42 ........Equation 2

We substitute 2p - 6 for r in Equation 2

2p - 6 + p = 42

3p = 42 + 6

3p = 48

p = 48/3

p = 16 miles

Solving for r

r = 2p - 6........ Equation 1

r = 2(16) - 6

r = 32 - 6

r = 26 miles

Hence:

the number of miles she ran this week = r = 26 miles

the number of miles she ran the previous week = p = 16 miles

How do you solve this?

Answers

The answer is the third one which would be x is less then or equal to 5

Answer:

The first one

Step-by-step explanation:

if x equals at max 5

5=5 (this might be confusing but..)

five is no more than five same for any nimber less than five

Ms. Rex takes attendance and counts 356 students at the assembly.
Actually, there was 376 students. The percent error is 20%.
A.True
B.False

Answers

False, 20% of 376 is 75.2

Enter the correct value so that each expression is a perfect-square trinomial. x2 – 10x + 25 x2 + x + 36

Answers

43x + 36 I think that's the answer

Answer:

The first one is 25

The second one is 12

The third one is 1/16

Step-by-step explanation:

09/2022 edge

is 1 a irrational number

Answers

Answer:

1 is not an irrational number, it is rational

Step-by-step explanation:

Four friends, Ananth, Bala, Chandana, and Dev, have trading cards in the ratio of
7 : 6 : 5 : 4 (respectively). After they’ve redistributed the cards, the ratio is now 20 : 17 : 15 : 14. Who
gained the most cards?

Answers

Answer:

Ananth

Step-by-step explanation:

Ananth: 20x - 7x = 13x cards gained

Bala: 17x - 6x = 11x cards gained

Chandana: 15x - 5x = 10x cards gained

Dev: 14x - 4x = 10x cards gained

Ananth gained 13x, which is more than everyone else

I hope this helped, please mark Brainliest, thank you !!

help me please, i’ll give brainliest

Answers

Answer:

Step-by-step explanation:

THE BEST ANSWER IS C>>>>>>>>>>>>

Find the value of x that makes this a true statement (1/27)^x=3

Answers

Answer:

x = -1/3

Step-by-step explanation:

Given

(1/27)^x=3

Solving for x

(1/27)^x=3(1/3)^3x = 33^-3x = 3^1-3x = 1x = -1/3

The vice president of the USA has an annual salary of $230,700.00.
determine their weekly salary.*
A. 9228.23
B. not enough information
C. 4436.54
D. 23070​

Answers

Answer:

C. 4436.54

Step-by-step explanation:

230700.00÷52=4436.54

there are 52 weeks in a year, annual means year

Answer:

the answer is C

C. 4436.54

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