Prove that the points P(-1,1) ,Q(2,3) and R(2,1) are the vertices of a salence triangle. Plz ans fast.​

Answers

Answer 1

Step-by-step explanation:

P(-1,1), Q(2,3), R(2,1)

Let P(-1,1)be x1and y1

Q(2,3)be x2 and y2

therefore, by distance formula

d(PQ)= root (x2-x1)^2+(y2-y1)^2

= root[ 2-(-1)] + (3-1)

=root (2+1)^2+2^2

= root (3square +2square )

= root 9+4

d( PQ) = root 13.........(1)

Now find distance QR and PR then prove that the three sides are not equal and therefore it is a scalene triangle

2nd also do the same.


Related Questions

What is the 100th term of the following sequence: 7, 10, 13, 16...?

Answers

Answer:

I got 304, because it goes up by 3, one hundred times and so you get 300, add seven, but since the sequence starts with the seven, you have to subtract 3. another way you can do it is by multiplying 99 by 3 and adding seven, which is probably the correct way, but i didn’t think of that at the time of doing the problem

What is 0.04% of 30? Round to the nearest hundredth

Answers

Answer:

0.012

Step-by-step explanation:

Have a good day.

Answer:

.01

Step-by-step explanation:

Change the percent to decimal form

.04% = .0004

.0004 *30

.012

Round to the nearest hundredth

.01

I need help ASAP!!!!!! Please tell me how u got your answer

Answers

Answer:

150.5

Step-by-step explanation:

Use the Surface Area Formula for a Cylinder to find the Surface Area.

SA = 2πrh + 2πr^2 where r = radius and h = height

SA = 2π(3)(5) + 2π(3)^2

SA = 2π(15) + 2π(9)

SA = 2(47) + 2(28.26)

SA = 94 + 56.52

SA = 150.52

Rounded to the nearest tenth = 150.5

Explain the
The fifth term of a non-linear sequence is 324. The term-to-term rule is ‘multiply by 3?
Work out the second term of the sequence.
Explain the method you used to solve this problem.

Answers

Answer:

a2=12 (the second term of the sequence is 12)

Step-by-step explanation:

a5=324

If the term to term rule is multiply by any number, we deal with geometrical sequence

The formula you should use is an= a1*r^(n-1)  where n is the number of the term which we know. In our case we know

a5, so use 5 instead of n

Then you have a5=a1*r^4 where r is the number 3 (because each next term is greater than previous in 3 times)

a5=324

324= a1*3^4

324=a1*81

a1=4 (We find the first term of sequence, because having it you can easily search for every term )

Return to the formula an= a1*r^n-1

Now search for the second term using 2 instead of n in the formula

a2= a1*r^1

a2=a1*r, a1=4, r=3

a2=4*3=12

PLS HELP ME ON THIS QUESTION!!!

Answers

It’s D. Corn muffins were the least popular on the chart
The answer is D because oatmeal cookies sold more than corn muffins. Therefore corn muffins were the least popular food item, not oatmeal cookies! :D

The width of a rectangle measures (8x + 2) centimeters, and its length measures
(6x + 6) centimeters. Which expression represents the perimeter, in centimeters, of
the rectangle?
20x + 24
28x + 16
Submit Answer
O 8 + 14x
O 10x + 12

Answers

Answer:

(28x+16)cm

Step-by-step explanation:

2(8x+2)+2(6x+6)

16x+4+12x+12

28x+16

S O L U T I O N

Perimeter = 2(Length + Breadth)

Perimeter = 2(6x + 6 + 8x + 2) cm

Perimeter = 2(14x + 8) cm

Perimeter = 28x + 16

CORRECT ANSWER IS OPTION B, 28x + 16

Evaluate Equation
Please help!!

Answers

Answer:

A

Step-by-step explanation:

x^2/y+x^2/z where x=6, y=-4 and z=-2

x^2(1/y+1/z)=36*(-1/4+(-1/2))=-36*(3/4)=-27

Answer:

9

Step-by-step explanation:

kwowoooaloiwknwjsjsisjsjsjsisjsj

If I have 180$ and a pack of dvds cost 18 how much can I buy

Answers

Answer:

10 packs of dvds

Step-by-step explanation:

$180 / $18 = 10 packs

You can buy a maximum of 10 dvd packs

Answer:

you can buy 10 dvds that is thr answer

Consider the reflection of parallelogram PQRS across the line of reflection wy

Answers

Answer:

Consider the reflection of the parallelogram PQRS across the line of reflection wy if RR = 14 Then RZ= If SX=5 then = 5

Step-by-step explanation:

Please help its due in 30 minutes will mark braniliest

Answers

Answer:

Step-by-step explanation:

It's a ray. A ray has 1 fixed point. The other end of the ray goes on forever, just as this diagram shows.

Monica took a survey of her classmates' hair and eye color. The results are in the table below.

Answers

0.14 would be correct

Every year the Lee family has a big family dinner, and everyone brings a mug to exchange. The mugs are put on wooden hangers on the wall, and each wooden hanger can hold 12 mugs. Last year the family had 15 mugs to hang up. This year the Lee family filled three wooden hangers. How many more mugs were brought to the Lee family dinner this year compared to the previous year? *

Answers

Answer:

21 more mugs were brought this year than last year.

Step-by-step explanation:

We can solve by subtracting the initial amount of mugs from the final amount of mugs.

To find the amount of mugs hung up this year, we will use the equation: m = 12w where m = the number of mugs & w = the number of wooden hangers. The 12 represents the amount of mugs per wooden hanger.

We can plug in 3 for w since 3 wooden hangers were filled up and we would get 12(3) = m = 36 mugs

Now we subtract last year's total mugs hung up from this year's total mugs hung up.

We end up with 36 - 15 = 21

Write the equivalent expression for the following radical expressions. Simplify numerical expressions
when possible. (1 point)
please help asap

Answers

Answer:

Step-by-step explanation:

8) [tex]\sqrt{x^{3}} = x\sqrt{x}[/tex]

9) [tex]\sqrt[3]{3^{6} } = 3^{2} = 9[/tex]

10) [tex](x^{\frac{1}{2} } )^{9} = x^{2} \sqrt{x}[/tex]

11) [tex]7^{2} = 49[/tex]

12) [tex]27^{\frac{2}{3} } = \sqrt[3]{27} ^{2} = 9[/tex]

13) 9x[tex]\sqrt[3]{3xy^{2} }[/tex]



The perimeter of a rectangle is 56 feet and
its area is 192 square feet. What are the
dimensions of the rectangle?

Answers

Answer:

Step-by-step explanation:

P = 2(L + W)

Area = L*W

Area = 192

(L + W)*2 = 56

L+W = 28

L = 28 - W

W*(28 - W) = 192

28W - w^2 = 92

-w^2 + 28w - 192 = 0

w^2 - 28w + 192  = 0

This factors into

(w - 12)(w - 16) = 0

w - 12 = 0

w = 12

L = 28 - 12 = 16

The blue team scored two more than five times the number of points,p, scored by the red team
Write an expression for the problem

Answers

Answer:

2 + 5p

Step-by-step explanation:

Hi there!

Let [tex]p[/tex] equal the number of points scored by the red team.

We're given:

The blue team scored two more than five times the number of points scored by the red team.

⇒ blue team points = 2 + (5 × red team points)

⇒ blue team points = 2 + 5p

I hope this helps!

create a problem using radios of for your guardian/parent or friends solve. write both of your problems and Solutions in your Journal ​

Answers

Answer:

The following,... and uh I don't have a journal ;->

Step-by-step explanation:

You and your 10 friends each have 121 books that you will be bringing to a Best Book Barrage book exchange. Once everyone arrives you count a total of  books. Assuming everyone brings the same amount of books how many people came to the exchange?

Answer: 8,228

Sin³xcosx+sinxcos³x=sinxcosx

Answers

Answer:

Step-by-step explanation:

[tex]sin^3xcosx+sinxcos^3x\\=sinx cosx(sin^2x+cos^2x)\\=sinx ~cosx(1)\\=sin~x~cos~x[/tex]

In isoceles triangle the length of a leg is 17cm, and the base is 16cm. Find the length of the altitude to the base

Answers

This triangle has base 16 therefore the sides must be 17cm and 17 cm

When we make a altitude it divides it into two right triangles and there is a property in which the altitude of the isoceles triangle divides the base in 2 equal halves

So the side of the right triangle will be x , 8 , 17

Using pythgoreus theorem

x²+8²=17²

x = √225

x = 15

So the altitude is 15 cm

Must click thanks and mark brainliest

Andrés, in his shop, stores the buttons in bags. In box A, he has bags of 24 buttons each with no buttons left. In box B, he has bags of 20 buttons with no buttons left. The number of buttons that are in box A is equal to the number of buttons in box B. What is the minimum number of buttons in each box?

Answers

Answer:

120 buttons in each box

Step-by-step explanation:

What you are looking for is the least common multiple. List out what the multiples of each number are and when ever you find two numbers that match you have your answer.

which of the following is equal to the rational expression when X ≠ 2 or 1?

Answers

Answer:

[tex]\frac{x+5}{x-2}[/tex]

Step-by-step explanation:

what is the measure of B?

Answers

Answer:

A. 28°

Step-by-step explanation:

Since sides AC and AB are congruent, their opposite angles are congruent.

m<B = m<C = 28°

Answer: A. 28°

Answer:

The answer is A

Step-by-step explanation:

What you have is an isosceles triangle. AC = AB <A cannot be 28 degrees so the triangle is not equilateral.

If the 2 sides are equal, the 2 angles opposite these equal sides are also equal.

<B = <C

<C = 28 degrees

<B = 28 degrees

From deltamath.com please help I’m loss

Answers

Answer:

y(x)=2866.59*(1.06)^x

Step-by-step explanation:

Let the exponential equation be y=a*b^x. Using y(7) and y(4) we can find the value of b, y(7)/y(4)=b^3=4300/3619, b=1.06. Next, y(4)=a*(1.06)^4=3619, a=2866.59. The equation is y(x)=2866.59*(1.06)^x

What’s this topic called

Answers

Answer: MATH

Step-by-step explanation:

Answer:

answer for the question is

x = 1

y = 4

subject is math btw if you are asking about that

find the length of UC

Answers

Answer:

18

Step-by-step explanation:

One way to solve this would be to just solve for random lengths, left to right, until we come to find UC.

We know JK = JH + HM + MK = 82 and JH = 22, so

82 = 22 + HM + MK

subtract 22 from both sides to isolate the unknowns

60 = HM + MK = HK

96 = HK + KU - HU

We know HK = 60

96 = 60 + KU

subtract 60 from both sides to isolate the unknown

We know KU = 36

105 = KN = KU + UC + CN

We know KU = 36 and CN = 51

105 = 36 + 51 + UC

105 = 87 + UC

subtract 87 from both sides to isolate the unknown

18 = UC

UC is what we're looking for, so the problem is solved

WILL GIVE BRAINLIEST AND 20 POINTS! SHOW WORK!
How many different 6-digit phone numbers do not contain the digit 6? Assume that any digit in the phone number can be any of the remaining numbers. Use the Multiplication Principle of Counting to solve the problem.

Answers

Answer:

Step-by-step explanation:

We don't know if the number can start with a 0 or 1. Since we don't know, I will assume the number can start with either. The restriction is on 6s.

The way this is worded, I'm not sure if the digits can be repeated or not. It sounds like they can.

9 * 9 * 9 * 9 * 9 * 9 = 531441

If you are not allowed to repeat and no digit is a 6 then you get

9 *8 * 7 * 6 * 5*4 = 60480

ASAP!!!!!!!!!!
What is the line of symmetry for the graph of y = -3x^2 + 12x - 11?
wrong= reported
ty<3

Answers

Answer:

line of symmetry is : x=2

Step-by-step explanation:

Answer:

Thus, the required line of symmetry is x = 2.

Step-by-step explanation:

Please solve this for 20 points and brainiest

Answers

Answer:

3y² + y - 10

Step-by-step explanation:

Assuming we're finding the area:

[tex](3y-5)(y+2)\\3y^2+6y-5y-10\\3y^2+y-10[/tex]

Answer:

3y² + y - 10

Step-by-step explanation:

(3y -5) (y + 2)

3y² + 6y - 5y  - 10

3y² + y - 10

The temperature at 9:00 a.m. was 4°C. At 7:00 p.m., the temperature
was -12°C. What was the change in temperature (in degrees Celsius)?
�� 8-degree decrease
�� 16-degree decrease
�� 8-degree increase
�� 16-degree increase

Answers

Answer:

16-degree decrease

Step-by-step explanation:

Take the final temperature of -12   and subtract the initial temperature of 4

-12 - 4

-16

The change in temperature is 16 degrees

The minus sign tells us it was a decrease

Answer:

i think 16 degree decrease

Step-by-step explanation:

sorry if im wrong i tried to help

Help Fast! I will rate

Answers

Answer: The eldest child received $465,000, the middle child received $13,000, and the youngest received $93,000.

Step-by-step explanation: Subtracting $13,000 from $571,09 leaves the youngest and eldest’s money, $558,000. Dividing the amount left by 6 gives you the youngest siblings check and a total of $93,000. To find how much the eldest receives, you subtract $93,000 from $558,000 leaving the eldest $465,000.

Find the slope of the line that passes through the points (-12,10) and (-18,14).

Answers

Answer:

-2/3

Step-by-step explanation:

To find the slope we use the formula

m= ( y2-y1)/(x2-x1)

   = ( 14-10)/(-18- -12)

   = (14-10)/(-18+12)

  = 4/-6

 = -2/3

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