show that the point p(-6,2), Q(1,7) and R(6,3) are the vertices of scalene triangle​

Answers

Answer 1

Answer:

  the sides are different lengths as shown in the diagram

Step-by-step explanation:

Plotting the three points, you can see by "inspection" that the middle length side (PQ) is longer than the shortest side (QR) and shorter than the longest side (PR). You could use the distance formula to show this, or you can use a scale to measure the drawing.

A triangle with three unequal sides is a scalene triangle. ∆PQR is scalene.

Show That The Point P(-6,2), Q(1,7) And R(6,3) Are The Vertices Of Scalene Triangle

Related Questions

There are 45 eighth graders and 20 seventh graders in a school club. The president of this club wants 40% of the club’s members to be seventh graders. How many more seventh-graders must join the club in order to meet the president’s wishes? (Assume that the number of eighth-graders remains the same.)

Answers

Answer: Please Give Brainliest. Thank You!

10 more

The number of seventh-graders that must join the club in order to meet the president's wishes is 10.

Since there are 45 eighth graders and 20 seventh graders in a school club and the president of this club wants 40% of the club’s members to be seventh graders, we need to find the number of seventh graders that will be added to the school club to make their percentage 40 %.

Let the number of seventh-graders to be added be x.

So, the new number of seventh-graders is 20 + x and the new number of people in the club is 45 + 20 + x = 65 + x

Thus, the percentage of seventh graders in the club is thus

[tex]\frac{20 + x}{65 + x} X 100[/tex] %

Since this percentage equals 40 %, we have that

[tex]\frac{20 + x}{65 + x} X 100[/tex]% = 40 %

[tex]\frac{20 + x}{65 + x} = \frac{40}{100} \\\frac{20 + x}{65 + x} = 0.4[/tex]

Cross-multiplying we have

[tex]20 + x = 0.4(65 + x)[/tex]

Expanding the bracket, we have

[tex]20 + x = 26 + 0.4x[/tex]

Subtracting 20 from both sides we have

[tex]x = 26 - 20 + 0.4x\\x = 6 + 0.4x[/tex]

Subtracting 0.4x from both sides, we have

[tex]x - 0.4x = 6\\0.6x = 6[/tex]

dividing both sides by 0.6, we have

x = 6/0.6

x = 10

So, the number of seventh-graders that must join the club in order to meet the president's wishes is 10.

Learn more about percentages here:

https://brainly.com/question/23127071

Which is the simplified form of the expression ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline) (3 squared)) squared?

Answers

Answer:

[tex]\dfrac{1}{6561}[/tex]

Step-by-step explanation:

Given the expression [tex][(2^{-2})(3^{4})]^{-3} * [(2^{-3})(3^2)]^{2}[/tex], Using the laws of indices to simplify the expression. The following laws will be applicable;

[tex]a^m*a^n = a^{m+n}\\(a^m)^n = a^{mn}\\[/tex]

[tex]a^{-m} = 1/a^m[/tex]

Given [tex][(2^{-2})(3^{4})]^{-3} * [(2^{-3})(3^2)]^{2}[/tex]

open the parenthesis

[tex]= (2^{-2})^{-3}(3^{4})^{-3}* (2^{-3})^2(3^2)^2\\\\= 2^{-2*-3}* 3^{4*-3} * 2^{-3*2} * 3^{2*2}\\\\= 2^6 * 3^{-12} * 2^{-6} * 3^4\\\\collecting \ like \ terms\\\\= 2^6 * 2^{-6} * 3^{-12} * 3^4\\\\= 2^{6-6} * 3^{-12+4}\\\\= 2^0 * 3^{-8}\\\\= 1 * \frac{1}{3^8}\\ \\= \frac{1}{6561}[/tex]

The physician orders 1500 flu injections. There were 300 shots given in September, 450 shots given in October, and 665 shots given in November. What percentage of flu vaccine has been given?

Answers

Answer:

94.33

Step-by-step explanation:

add up all numbers then input into a percentage calculator

Percentage of flu vaccine has been given 94.33%

What is percentage?

Percentage is defined as ratio expressed as a fraction of 100.

The physician have total 1500 flu injections

300 shots given in September,

450 shots given in October,

and 665 shots given in November,

Total flu vaccine has been given = 300+450+665 = 1415

Percentage of flu vaccine has been given = (1415/1500)×100%

Percentage of flu vaccine has been given = 0.9433×100%

Percentage of flu vaccine has been given = 94.33%

Hence, percentage of flu vaccine has been given 94.33%

Learn more about percentage

brainly.com/question/24159063

#SPJ2

A set of circular cups are placed so that they are touching rim to rim, as close together as possible. It is not possible to fit more cups inside the group if the longest straight line is five cups long, how many cups are there altogether?

Answers

Answer:

The total number of cups in arranged in an hexagonal area = 19 cups

Step-by-step explanation:

The pack the most circles within an area, the arrangement with the densest packing is the hexagonal lattice structure similar to the bee's honeycomb as has been proved Gauss and Fejes Toth.

Therefore, we pack the circles in an hexagonal lattice structure in an assumed hexagonal area where we have;

The longest straight line is five cups the next on either side are four cups and the final line on either side has three cups

The total number of cups = 3 + 4 + 5 + 4 + 3 = 19 cups

The total number of cups = 19 cups.

The probability that it rains is about 20%.
The probability that the bus is late is about 8%.
The probability that it rains and the bus is late is about 3%.
The probability that the train is late is about 5%.
The probability that it rains and the train is late is about 1%.

6. To decide whether the rain and the train running late are dependent or independent events, first define the two events and then write their probabilities as decimals. (3 points) Let event A = ________________________. P(A) = ______. Let event B = ________________________. P(B) = ______. A and B = ________________________. P(A and B) = ______. 7. Use the probabilities from question 6 to decide whether the rain and the train running late are independent or dependent events. (2 points: 1 point for the correct math, 1 point for the conclusion)

Answers

Answer:

Step-by-step explanation:

Let A= probability it rains

P(A)=0.2

Let B be the probability that the train is late = 0.05

P(B)=0.05

A and B  is A∩B= the probability it rains and the bus is late =0.01

probability pf (A and B)=0.01

7) independent events are related by expression:

A∩B=P(A)*P(B)

       =0.2*0.05=0.01  

check :

p(A|B)=P(A∩B)÷P(B)=0.01/0.05= 0.2

the two event are independent

Answer:

The two are independent.

Step-by-step explanation:

The value of which of these expressions is closest to e?

Answers

Answer:

b

Step-by-step explanation:

3 sides of the triangle are consecutive odd numbers. What is the smallest possible perimeter of the triangle ?

Answers

The sides are 3, 5, and 7 because 7 is less than 3 + 5, so it equals a triangle.

The smallest possible perimeter of such triangle would be 8.

What is triangle inequality theorem?

Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]

Given; 3 sides of the triangle are consecutive odd numbers.

The sides are 3, 5, and 7 because 7 is less than 3 + 5 so it equals a triangle.

The smallest consecutive odd numbers are 1, 3 and 5

Therefore, the smallest possible perimeter of such triangle = 8

Learn more about triangle inequality theorem here:

https://brainly.com/question/342881

#SPJ2

Write an expression for the shaded area

Answers

Answer:

4x(x+2) - x(3x+5)

Step-by-step explanation:

the area of the whole box is 4x(x+2)

to find the area of the shaded portion you have to subtract the area of the tiny box from the big box

the area of the tiny box is x(3x+5)

so, 4x(x+2) - x(3x+5) is the expression you can use to find the area of the shaded portion

Work out the value of angle x

Answers

Answer: 166 degrees

======================================================

Explanation:

The given exterior angle 97 is adjacent to the interior angle 180-97 = 83. This is the base angle of the isosceles triangle. The other base angle is directly above it. The base angles are always opposite the congruent sides.

The missing interior angle (adjacent to the blue angle x) is unknown, so we'll call it angle y. This angle adds to the other two base angles (83 each) to get a sum of 180. Adding any three interior angles of a triangle always gets you 180

y+83+83 = 180

y+166 = 180

y = 180-166

y = 14

Angle x and y are supplementary. They form a 180 degree angle

x+y = 180

x = 180-y

x = 180-14

x = 166

As you can see, the base angles combine to form the exterior angle we're after. This is because of the remote interior angle theorem.

Write in standard 7.125×10^-9

Answers

Answer:

7.125*10⁻⁹ = 0.000000007125

Step-by-step explanation:

7.125*10⁻⁹ = 0.000000007125

cual es el area de un rectangulo

Answers

Answer:

Use this formula:

a = b * h

Where: "a", the area of the rectangle is equal to its "b" (base), multiplied by "h" (height)

Step-by-step explanation:

Usa esta formula:

a = b * h

Donde: "a", el área del rectángulo es igual a su "b" (base), multiplicado por "h" (su altura).

FACTOR THIS EXPRESSION -385y LOOK AT THE SCREENSHOT THANKS AND BRAINLIST IF CORRECT PLEASE HELP

Answers

Answer:

-1*5*7*11*y

Step-by-step explanation:

This is the prime factorization of 385y times -1.

Can someone pls help me &THANK YOU



SLATTTT!!!

Answers

BABYYYY SOSAAAAA CASH CARTIIII

There are approximately fifty five million metric tons of apples grown each year. It has been estimated that half of all the apples grown are eaten fresh. Approximately how many metric tons of apples are eaten fresh

Answers

Answer:

Twenty-seven and a half million metric tons of apples are eaten fresh.

Step-by-step explanation:

The amount of metric tons of apples that are eaten fresh is equal to the half of the total amount of metric tons. That is:

[tex]m = \frac{55,000,000\,m-ton}{2}[/tex]

[tex]m = 27,500,000\,m-ton[/tex]

Twenty-seven and a half million metric tons of apples are eaten fresh.

WILL MARK BRAINLIEST!!!!20 POINTS!!!!URGENT!!!

Answers

Answer:

the firsts third and last one

Step-by-step explanation:

hope this helped

12x + 4y = 152 32x + 12y = 420 what is y?

Answers

Answer:

the value of x = 9  and y =11.

Given the system of equation:

12x + 4y =152                  .......[1]

32x + 12y = 420              ......[2]

Multiply equation [1] by 3 we get;

Using distributive property:  

            ......[3]

On solving equation [2] and [3] simultaneously we get;

x = 9

Substitute the value of x= 9 in [1] to solve for y;

108 + 4y = 152

Subtract 108 from both sides we have;

108 + 4y -108 = 152- 108

Simplify:

4y = 44

Divide both sides by 4 we get;

Simplify:

y= 11

therefore, the value of x = 9  and y =11.

Kelly bought a crate of floor tiles for $95.94. The crate had 6 boxes of floor tiles. Each box contained 20 floor tiles.

Write and solve an equation to determine the cost per box, b. Then write and solve a second equation to determine the cost per tile, t, to the nearest cent.

Answers

Answer:

$1.60 a crate

Step-by-step explanation:

t= 95.94/(6x20)

(6x20)= 60

95.94/60

$1.60

Answer:

Step-by-step explanation:

i) Cost per box = cost of a crate ÷ Number of boxes in the crate

b = 95.94 ÷ 6

b = $ 15.99

ii) Cost per tile = Cost per box ÷ Number of tiles in a box

 t = b ÷ 20

 t = 15.99 ÷20

t = $ 0.7995

What is the decimal equivalent of 16/3 ?
A. 5.3
B. 0.1875
C. 53333...
D. 16.3

Answers

Answer:

c. 5.333...

Step-by-step explanation:

When converting fractions into decimals, all you have to do is that you have to divide the numerator by the denominator. In this case, we will get 16 divided by 3. If we do this, we will get 5 and 1/3. One third in decimals is 0.3333... so the answer is 5.333...

The decimal 5.33 will be equivalent to 16/3 so option (A) will be correct.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the fraction of 16/3

So divide 16 by 3

16/3 = (15 + 1 )3

⇒ 15/3 + 1/3

⇒ 5 + 0.333

⇒5.3

Hence "The decimal 5.33 will be equivalent to 16/3".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ2

Rebecca is saving money to purchase a laptop, which costs $1,099.51. She has already saved $354.20 and plans to continue
saving $50.60 per week. Which inequality could be used to find w, the number of weeks that Rebecca must save in order to
purchase the laptop?
OA $354.20 + $50.60w < $1,099.51
OB. $354.20w+ $50.60 $1,099.51
OC $354.20 + $50.60w< $1,099.51
OD. $354.20 + $50.60w $1,099.51

Answers

Answer:

354.20 + 50.60w ≥ 1099.51

Step-by-step explanation:

354.20 + 50.60w ≥ 1099.51

New York City is a popular feild trip destination. This year the senior
class at High School A and the senior class at High School B both
planned trips there. The senior class at High School A rented and filled
8 vans and 4 buses with 220 students. High School B rented and filled 12 vans and 4 buses with 228 students. Every van had the same
number of students in it as did the buses. How many students can a
van carry? How many students can a bus carry?​

Answers

Step-by-step explanation: look so if you have

shcool A its 8v+4b=12

and

School B: 12v+4b= 16

since both classes used 4 busses we can use elimination by subtracting the A class Equation from the b class equation to solve from v for its value Then, use either equation and the now found value for v to solve for b.

You should find part of the process to be

12v+4b-(8v+4b)=12-16 which shows the van holds only a few people even before continuing the solution.

Answer -4

(b-2)x= 8
In the given equation, b is a constant. If the equation
has no solution, what is the value of b ? A) 2
B) 4
C) 6
D) 10

Answers

Answer:

2

Step-by-step explanation:

(2-2)x = 8

(0)x = 8

x = 8/0

no solution

The value of "b" that would result in the equation having no solution is A) 2.

To determine the value of "b" that would result in the given equation having no solution, we need to look at the coefficient of "x" in the equation (b - 2) and the constant term on the other side (8).

The equation is: (b - 2)x = 8

For the equation to have no solution, the coefficient of "x" (b - 2) must be 0. This is because when you multiply any number by 0, the result is always 0, meaning the left-hand side of the equation becomes 0x, which simplifies to 0. However, the right-hand side is 8, and 0 is never equal to 8.

Therefore, to make (b - 2) equal to 0, we can set:

b - 2 = 0

Adding 2 to both sides:

b = 2

So, the value of "b" that would result in the equation having no solution is A) 2.

To know more about equation"

https://brainly.com/question/29114761

#SPJ2

what is the coefficient of x in the equation of 32+2x=10
solve after finding the coefficient

Answers

Answer:

x= -11

Step-by-step explanation:

the coefficient is variable that appears before a number . bearing this in mind, the coefficient of x is therefore 2 .

the value of x is:

>32+2x=10

>2x=10-32

>2x= -22

>x= -11

Answer:

Step-by-step explanation:

Coefficient of x = 2

32 + 2x  = 10

Subtract 32 from both side

32 + 2x -32 = 10 - 32

              2x =  - 22

Divide both sides by 2

            2x/2 = -22/2

x = -11

Convert the following:
4 liters is equivalent to
a0 quarts

Answers

Answer:

4.22675 quarts

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

       ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                      PEACE!

Evaluate the following expression.
10^7 + 9 + 1^3 =

Answers

Anjdjdnjadnosepsjkdsksksks

bzjd

Which equation can be used to find x, the length of the hypotenuse of the right triangle?

Answers

Answer:

[tex] \boxed{\sf {18}^{2} + {24}^{2} = {x}^{2}} [/tex]

To Find:

Length of hypotenuse of the right triangle i.e. x

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.

[tex] \therefore [/tex]

[tex] \sf \implies {18}^{2} + {24}^{2} = {x}^{2} [/tex]

Answer:

18²+24²=x²

Step-by-step explanation:

to answer this question you must know Pythagorean theorem

a^ 2+b^2 =c^2

a and b stands for the sides with length 24 and 18 and c stands for the HYPOTENUSE . so the correct answer for the above question is 18²+24²=x²

Pls answer I really need help
Brainlist and thank you will be the reward thank you so much!!!

Answers

Answer:

0.667 ✅

Step-by-step explanation:

This is best solved using a proportion.

The formula is soy/vinegar = soy/vinegar where one of these is a variable.

Here we have:

[tex]\frac{150}{100} = \frac{1}{x}[/tex]

Now, we solve this by cross multiplying.

150x = 100

Dividing both sides by x, we get x = 2/3 or about 0.667.

Checking:

[tex]\frac{150}{100} = \frac{1}{0.667}[/tex]

1.5 = 1.5 ✅

I'm always happy to help :)

Solve for x. 5x-4 > 12 OR 12x+5 <-4

Answers

Answer:

x > 16/5 or x < -3/4

Step-by-step explanation:

Equation 1: 5x - 4 > 12

Equation 2: 12x + 5 < -4

Equation 1: 5x - 4 > 12

add 4 to both sides

5x > 16

divide by 5 on both sides

x > 16/5

Equation 2: 12x + 5 < -4

subtract 5 on both sides

12x < -9

divide by 12 on both sides

x < -9/12

simplify

x < -3/4

math now..!! Help..?

Answers

Answer:

2p + 12

2 (p = +6) + 12 = 20

Answer:

I think its 6

Step-by-step explanation:

because you have to add 9 and 3 together then you get 12 and you have to divide 2p with 12 and you'll get 6

If A = C + 3A=C+3, B = 2CB=2C, and C = 4C=4, which is the correct order from least to greatest?

Answers

Answer:

B, C, A.

Step-by-step explanation:

A = C + 3A = C + 3

A = C + 3

A = C + 3A

C + 3A = C + 3

3A = 3

A = 1

A = C + 3

1 = C + 3

C + 3 = 1

C = -2

B = 2C

B = 2(-2)

B = -4.

So, from least to greatest, B = -4, C = -2, and A = 1.

Hope this helps!

PLEASE HELP!!!
10. Write the formula of the function f(x) whose graph is shown.
A
f(x) = 4 - 4
х
B
f(x)=
1
= - +4
X
с
f(x) = 24
D
1
f(x) =
X +4

Answers

Step-by-step explanation:

c

Other Questions
Barb bought a house with 20% down and the rest financed by a 30-year mortgage with monthly payments calculated at a nominal annual rate of interest 8.4% compounded monthly. She notices that one-third of the way through the mortgage she will still owe 200,000. Determine the purchase price of the house. if 193 ml of chlorine gas was collected at 21 celsius, what volume would it have if the temperature dropped to 0 celsius how does oppressive nature of gender roles relate to the setting in the yellow wallpaper? HELPP! QUICKKKK! Lol Problem:Last year I attended the Jurassic World Dinosaur Exhibit with my family and my friend and her family. Myfamily includes 2 adults (including myself) and my child we paid a total of $94. Her family includes 2adults and 2 children she paid a total of $110. What was the admission price for an adult ticket and howmuch was it for the admission price for a child ticket?Let a represent adult ticket priceLet c represent child ticket price Which punctuation mark is missing from the following sentence?Since mybest friend lives next door we get to see each other every day. how many significant figures are in 820 400.0 L If a sample emits 2000 counts per second when the detector is 1 meter from the sample, how many counts per second would be observed when the detector is 3 meters from the sample? William has written this paragraph about Dr. Kings speech. (1)Martin Luther King, Jr. uses repetitive words and phrases to argue his point. (2)He wisely repeats the phrase "Let freedom ring which creates a hopeful tone in his speech. (3)This repetition of this phrase builds rhythm and momentum. (4)Using "Let freedom ring allows King to finish the speech with strength. Which line contains subjective language? A professor at a local community college noted that the grades of his students were normally distributed with a mean of 74 and standard deviation of 10. The professor has informed us that 6.3 percent of his students received A's while only 2.5 percent of his students failed the course and received F's. a. What is the minimum score needed to make an A? b. What is the maximum score among those who received an F? c. If there were 5 students who did not pass the course, how many students took the course? Which of these types of communication is generally most effective at educating the electorate about candidates A company would like to evaluate two incentive schemes that take effect once the worker exceeds standard performance. In the first case the benefits are split 30% to the worker and 70% to the company up to 120% performance. If the worker exceeds 120% performance, all of the earnings go to the worker. In the second case, all earnings beyond standard performance are split 50/50 between the worker and the company.a. Plot the earnings for each scheme. b. Derive the equations for worker earnings and normalized unit labor costs for each scheme c. Find the point at which the two plans break even. d. Which do you think would the company prefer? 1.) Write 7/25 as a percent and decimal. Which of the following illustrates an increase in potential energy? Group of answer choices a wind-up toy winding down a person climbs a set of stairs an apple dropping from a tree a firecracker explodes SP=2x+3, and LN=5x14. Find SP. PLEASE HELP ANSWER FAST As the vibration of molecules decreases, the _____ of the substance decreases. 1.temperature 2.internal energy 3.kinetic energy 4.all of the above Finding which number supports the idea that the rational numbers are dense in the real numbers. What does the word unbearable mean in the sentence below?If they forget to throw out this container, the smell will become unbearable within a few hours.intolerablestinkingodorousrotten Read the scenario, and answer the question.You are a manager attending a presentation about conflict resolution. You notice that the speaker seems at ease and comfortable in front of a large audience. You are to talk to the speaker and ask her what she does to be so relaxed. After the presentation, you decide Choose the best response the speaker could give in the scenario above. a. I read from my notes and make sure the room is darkened. b. I just go into a room and say what is on my mind. c. I rehearse repeatedly and practice stress reduction techniques How many gram of zinc will have to be treated with dilute hydrochloric acid to liberate 1.85 dm of hydrogen at 27C and 750mmHg? A company's strategy evolves over time as a consequence of : Select one: a. The need to keep strategy in step with changing market conditions and changing customer needs and expectations b. The proactive efforts of company managers to fine-tune and improve one or more pieces of the strategy c. The need to respond to the newly-initiated actions and competitive moves of rival firms d. All of the above