The coordinates of a triangle are: R(-4,4) S(-2,-2) T(2, 3) Brian determined A RST was a scalene triangle, but he wanted to the find the lengths of the three sides. Complete the table to determine the three side lengths of ARST. 37 38 140 141 length of RS length of ST length of TR​

Answers

Answer 1

The length of the sides RS, ST and TR are √72, √41 and √37 in the scalene triangle RST.

The distance between any two points A(a,b) and B(c,d) in the plane is given by,

AB = √((c-a)²+(d-b)²)

Here, it is given that the points of the triangle are R(-4,4) S(-2,-2) T(2, 3).

The triangle is scalene so length of every side is different.

Now, Using the above formula,

RS = √((2+4)²+(-2-4)²)

RS = √(36+36)

RS = √72

ST = √((2+2)²+(3+2)²)

ST = √(16+25)

ST = √41

TR = √((2+4)²+(3-4)²)

TR = √(36+1)

TR = √37

So, Brian is correct, the triangle is a scalene triangle.

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Related Questions

A cylinder has a base with radius 8cm and height 15cm. What is the volume of the cylinder? Use 3.14 for a (volume of a cylinder. V = ar?h) 15 cm 8 cm O 3,014.4 cubic cm 3,612.5 cubic cm O 4,181.3 cubic cm O4,511.7 cubic cm​

Answers

Answer:

3014.4

Step-by-step explanation:

what is the surface area of a triangular prism of 15 ft, and of 3ft and 5ft?

Answers

Answer: 225 ft

Step-by-step explanation:

If you do not have rental history or employment history, you may have to get a ______________ to help qualify for an apartment.
a.
loan
b.
co-signer
c.
paycheck cashing service
d.
renters insurance policy
e.
None of these are good answers

Answers

The answer is a loan

a(a-bx)/x=2/3
PLEASE

Answers

Answer:

This cannot be solved but it can be simplified

first we open the bracket

so we have

a²- abx/x = 2/3

next we cross multiply so it will be 3(a² - abx) = 2x

we get

3a² - 3abx = 2x

Next we factorise so we can get

3a(a-bx) =2x

I dont know what exactly you where asked but I hop this helps

7{-7+8[5-3(4+6)]-9(9-4)}​

Answers

Answer:

-1764

Step-by-step explanation:

use BODMAS rule

⇒7{-7+8[5-3(4+6)]-9(9-4)}

solve round brackets

⇒7{-7+8[5-3(10)]-9()}

multiply 3 by 10 within the square bracket

⇒7{-7+8[5-30]-9(5)}

solve square bracket

⇒7{-7+8[-25]-9(5)}

move to curly brackets and multiply first

⇒{-7-200-45}

subtract

⇒7{-252}

multiply

⇒-1764 Answer

hope that helps...

Three consecutive odd integers have a sum of -75 what are the three numbers

Answers

-23, -25, and -27, hope this helps

Help needed please and thank you

Answers

Answer:

see image

Step-by-step explanation:

Right at the point (1,2) there's a nice point. Going up and right along the line there's another nice point at (5,5)

To get from one point to the next, you can draw a stair-step line that goes up3 and over4. The slope is up3/over4.

m = 3/4

The slope is 3/4. See image.

Colorado State Flag (7. 4. A. 1. 4)


Illustrative Mathematics


1. 4: Colorado State Flag


The side lengths of the state flag of Colorado are in the ratio 2:3. If a flag is 12 feet long, what is its height?

Answers

The height of the flag is 18 feets.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.

Length is equal to 2 (2 + 3) the sum of the side lengths.

The sum of side length divided by (12) equals (2/5)

12 = 0.4(sum of side length) (sum of side length)

divide both sides by 0.4.

The height of the flag is calculated as side lengths plus length.

Height of flag: (30 – 12) = 18 feet

Therefore, the height of the flag is 18 feets.

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write a circle equation for it
help please​

Answers

Answer:

(x + 2)² + (y - 4)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 2, 4 ) and r = 4 , then

(x - (- 2))² + (y - 4)² = 4² , that is

(x + 2)² + (y - 4)² = 16

find the lcm of a^3 -125 and a^4 +25a^2 +625​



pleaseee helpppp ​

Answers

Answer:

625

Step-by-step explanation:

1.25.625

125 = 5³

625 = 5⁴

prime factor 5 , number 125 is 3 number 625 is 4 LCM is 4

LCM = 5⁴

so the LCM is 625

Find slope from this graphhhhh

Answers

Answer:

Ok ill find the slope for this graphhhhh

Step-by-step explanation:

-3/4

i believe the answer is -3/4.. if rightt pls mark me as brainlest .

Which fraction is greater 28/16 or 7/4

Answers

Answer:

business plan proposal

Answer:

we have to make the denominator of both the fraction same so that we can compare.

We have to multiplybboth nominator and denominator by 6.then,

7×6/4×6=28/16

Now, comparing 28/6 and 28/6 we get to know that both the fraction are proportional.i.e.28/16=7/4

*mark me brainliest

.25x + 0.05y = 9, x + y = 25

Answers

Answer:

x = -4

y = 29

Step-by-step explanation:

Let's take our two equations and turn the decimals into fractions for simplicity's sake. We get:

x/4 + 5y/100 = 9    x + y = 25

Simplifying a bit gives us:

x/4 + y/20 = 9       x + y = 25

Now, we will take the first equation and multiply it by 20 to get rid of the fractions. We get:

5x + y = 9

We will rearrange numbers to give us an answer to y that we can substitute in. we get:

y = 9 - 5x

Then, we will plug this into our second equation giving us:

x + 9 - 5x = 25

Combining like terms and subtracting 9 from both sides gives us:

-4x = 16

Dividing by -4 gives us:

x = -4

Then, we can substitute this into our second equation giving us:

-4 + y = 25

We will add 4 to both sides giving us:

y = 29

Hope this helped!

An electronics store owner is trying to how much they should try to sell a computer that cost the store $200. They want to increase this price by 25% for the store’s profit and then increase that new price by 15% to account for the sales person’s profit. How much should they sell the computer for?

Answers

Answer:

They should sell the computer for $287.50

Step-by-step explanation:

Let's solve the 25% increase first

100% = $200

100% + 25% = 125% = 1.25

200 x 1.25 = $250

Then we find the 15% increase

100% = $250

100% + 15% = 115% = 1.15

250 x 1.15 = $287.50

So, they should sell the computer for $287.50

Solve the equation.

c4−5=4

Answers

Answer:

c=2,25

Step-by-step explanation:

c4=5+4

c4=9

c=9:4

c=2,25

Answer:

c=4

Step-by-step explanation:

4c-5=4

/4         /4

c-5=1

+5    +5

c=6

Zachary's art club ordered a giant sub sandwich for a party. It was 5 feet long! When the sandwich arrived, Zachary cut it into 16 equal pieces.
How long was each piece?

Answers

The length of each piece of the sandwich is 0.3125 feet.

What is a unitary method?

A unitary approach is a mathematical technique for finding the value of a single unit and then multiplying it by any number of other units to derive the value of the given units.

Given, Zachary's art club ordered a giant sub sandwich for a party.

Therefore, t6o obtain the length of each piece we have divide the total length of the sandwich by the total number of pieces which is,

= (5/16) feet.

= 0.3125.

So, The length of each piece is 0.3125 feet.

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Nachelle just accepted a job at a new company where she will make an annual salary of $57000. Nachelle was told that for each year she stays with the company, she will be given a salary raise of $4000. How much would Nachelle make as a salary after 4 years working for the company? What would be her salary after tt years?

Answers

a) Using the slope-intercept equation, after 4 years of working at the new company, Nachelle's salary will be $73,000 per annum.

b) After t years of working at the new company, Nachelle's salary will be $57,000 + $4,000(t).

What is the slope-intercept equation?

The slope-intercept equation is in the form of y = mx + b.

The slope intercept describes the equation of a straight line, where m is the slope of the line, y and x are the y and x coordinates, and b is its y-intercept.

Initial starting salary per year = $57,000

Annual raise in salary = $4,000

Period = 4 years

Salary after 4 years = $73,000 [$57,000 + $4,000(4)]

Salary after t years = $57,000 + $4,000(t)

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65 POINTS TO WHO EVER ANSWERS CORRECT
Kim and her friends watched the server making smoothies. The table shows the number of mangos that were used for each of the different sizes of smoothies that the friends ordered.


Mangos Used Smoothie Size
Kim 1 8 oz
Bri 3 24 oz
Angela 4 32 oz


Which statement is correct based on the data?

1. The ratio of smoothie size to mangos used for Kim is 1:8, and the ratio of smoothie size to mangos used for Bri is 3:24.

2. The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.

3. The ratio of smoothie size to mangos used for Angela is higher than the ratio of smoothie size to mangos used for Kim.

4. The ratio of smoothie size to mangos used for Bri is 64:3, and the ratio of smoothie size to mangos used for Angela is 64:4.

Answers

The correct statement based on the data is,

⇒ The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.

Option 2 is true.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The given table shows the number of mangos that were used for each of the different sizes of smoothies that the friends ordered.

       Mangos Used    Smoothie Size

Kim         1                         8 oz

Bri           3                        24 oz

Angela    4                        32 oz

Now, By definition of ratio, we get;

The ratio of smoothie size to mangos used for Bri is,

⇒ 24 : 3

⇒ 8 : 1

And, The ratio of smoothie size to mangos used for Angela is,

⇒ 32 : 4

⇒ 8 : 1

Thus, The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.

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What is the perimeter of the triangle

Answers

Answer:

where the image??

Step-by-step explanation:

Answer:

the formula is

Step-by-step explanation:

a + b + c = P  ( P= perimeter )

The lines represented by the equations y= -1/3x+2and 5y+15x=-40

Answers

The two lines are neither parallel nor perpendicular to each other.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the two equations of the lines are y= -1/3x+2 and 5y+15x=-40.

y= -1/3x+2

5y+15x=-40.

5y = -15x - 40

y =-3x - 40/3

Here the slopes of the lines are,

m₁= -1 / 3

m₂ = -3

For the lines to be parallel the slopes should be equal and for the lines to be perpendicular the slopes should be inverse and reciprocal.

Here the slopes are neither equal nor have the inverse reciprocal.

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1 Select the correct answer. What is the range of g(x) = 3|x-1| - 1? O A (-00, 1] В. [-1,00) C. [1,00) D. (-00,00)​

Answers

Answer:

b

Step-by-step explanation:

The range of the function g(x) = 3|x-1| - 1 by evaluation is; [-1,00].

What is the range of the function?

From the taks content, the function given is;

g(x) = 3|x-1| - 1

Hence, it follows that the lowest possible value of y is -1 by means of the absolute value sign in the equation.

The range is therefore; [-1, 00].

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For the interval estimation of μ when σ is assumed known, the proper distribution to use is the_____. a. standard normal distribution b. t distribution with n degrees of freedom c. t distribution with n − 1 degrees of freedom d. t distribution with n − 2 degrees of freedom

Answers

When estimating a population mean (μ) with a known population standard deviation (σ), the proper distribution to use is the standard normal distribution. So, correct option is A.

This is because the sampling distribution of the sample mean follows a normal distribution when the population standard deviation is known. The central limit theorem guarantees that the sample mean will be normally distributed with mean μ and standard deviation σ/√n, where n is the sample size.

The formula for constructing a confidence interval for μ when σ is known is:

CI = x' ± zα/2 * (σ/√n)

where x' is the sample mean, zα/2 is the z-score corresponding to the desired confidence level (α), σ is the population standard deviation, and n is the sample size.

Since the standard normal distribution has a mean of 0 and a standard deviation of 1, we can use z-scores to find the appropriate values for zα/2. This is why the standard normal distribution is used for interval estimation when σ is known.

In summary, the standard normal distribution is used for interval estimation of μ when σ is known because the sampling distribution of the sample mean is normally distributed when the population standard deviation is known.

So, correct option is A.

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please answer **ASAP** (WORTH 50pts)

in a sequence the first term of 4 and the common difference is 8 find a fifth term

EXPLAIN

Answers

The fifth term of the given arithmetic sequence is 36.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d

Given that, in a sequence the first term of 4 and the common difference is 8.

Here, a=4 and d=8

Now, the fifth term is

a₅=4+(5-1)×8

= 4+32

= 36

Therefore, the fifth term of the given arithmetic sequence is 36.

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Multiply: 1) (5xy+3yz) and 2xz

2) 6/7x2y and (35/6xy + 14/3 xy2

3) (2x3-3x2+6x-8) and (-5x2)

Answers

Therefore, the multiple of the given equations is 10x^2yz + 6xyz^2, 5x^3y^2 + 14x^3y^3, and -10x^5 + 15x^4 - 30x^3 + 40x^2.

Define Polynomial Multiplication.

The process of multiplying two or more polynomials together is known as polynomial multiplication. Applying the distributive property to the multiplication of polynomials allows us to conduct polynomial multiplication.

What is multiplication?

Multiplication in mathematics is essentially just adding a number repeatedly in relation to another number. For instance, if we multiply 2 by 3, then implies that 3 gets multiplied by itself twice, meaning 3 + 3 = 6. Children can multiply numbers easily with the help of this method.

1. (5xy+3yz) * 2xz = 10x^2yz + 6xyz^2

2. (6/7x2y) * (35/6xy + 14/3 xy2) = 5x^3y^2 + 14x^3y^3

3. (2x3-3x2+6x-8) * (-5x2) = -10x^5 + 15x^4 - 30x^3 + 40x^2

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HELP ASAP DUE SOON BRAINIEST
You spend $180 on pants and shirts. You pay $12 per pair of pants (x) and $15 per shirt (y). You buy 6 more pairs of pants than shirts.

Write a system of equations.

Answers

Answer:

x + y = 180

y + 6 = x

I need help with these problems! will give thanks!

Answers

For questions 5 and 6 the angle of the arc will always be half of the total angle of the outer edge of a circle. So for 5 you divide 194 by 2 which gives you 97.
For 6 is the same so divide 144 by 2 which is 72
7 and 8 are different questions from 5 and 6 and use their own method for a solution.
7 requires understanding that opposite angles when lines are crossed equal each other. For 7 the two angles will be 85 and opposite it is 85 so add them together and subtract from 360 which is the total angle of a circle. Which is 190 and divide that by 2 which is 95. So angle D for 7 is 95 degrees. 8 is just an opposite angle so it’s 120 degrees

Williamston Daily is a new daily newspaper. When they first started printing three years ago they had 5900 home delivery subscribers. The number of subscribers increases by 66 every month. Write an equation that expresses the number of subscribers B in terms of n, the number of months the paper has been printed.a.B

Answers

this is a question of set of equations and solution is as follows,

Williamston Daily newspaper started printing newspaper.

Three years ago they had 5900 subscribers.

every month there is an increase of 66 new subscribers.

n is the number of months the paper has been printed.

so, the linear model will be  

B= early subscriber + number of month × increments

B= 5900 + n × 66

B= 66 n + 5900

Example - subscribers after 3 months,

n = 3

= 66 x 3 +5900

= 198 + 5900

= 6000

set of equations

A system of equations is a set or collection of equations that you deal with all together at once. Linear equations are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.

Linear equations

Linear equations are equations having variables with power 1. ax+b = 0 is an example with one variable where x is the variable, a and b are real numbers.

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Elliot purchased 3 trick cameras and 4 fake

snakes and spent a total of $40. Kaci bought 7

trick cameras and 8 fake snakes, and her total

was $85. Let x be the price of the trick

cameras and let y be the price of the snakes. What are equation can be used to solve this system of equations?

Answers

If Elliot purchased 3 trick cameras and 4 fake snakes for $40 and  Kaci bought 7 trick cameras and 8 fake snakes for $85 , then the system of equations that can be used to find the cost of trick camera and fake snakes are [tex]3x+4y=40[/tex] and [tex]7x+8y=85[/tex] .

Elliot purchased 3 trick cameras and 4 fake snakes for $40  ;

Kaci purchased 7 trick cameras and 8 fake snakes for  $85 ;

let the number of trick cameras purchased be = x ;

let the number of fake snakes purchased be = y ;

So , the equation for Elliot's purchase is ⇒ [tex]3x+4y=40[/tex] ;

and the equation for Kaci's purchase is ⇒ [tex]7x+8y=85[/tex] ;

Therefore , the equations to solve for the number of trick cameras and number of fake cameras are  [tex]3x+4y=40[/tex] and [tex]7x+8y=85[/tex] .

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4) Suppose you want the volume of your large box to be exactly 23124'cubic inches. If the length is 20.5 inches, and the height is 12 inches, what must the width be?​

Answers

Answer:

94 inches

Step-by-step explanation:

first calculate the surface area of the side of the container by multiplying 20.5 by 12, then take that number and divied 23124 by it to see how many inches of sides you need to make 23124

another way to explain it, multiply 20.5 by 12 to get the surface area of a plane, then divide 23124 by the surface area fo the plane to get how many inches of planes you have to have in order to have 23124 inches of total space

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest

Pls help !! AS SOON AS POSSIBLE I WILL GIVE BRAINLIEST ( and pls no random link)

Answers

Answer:

C

Step-by-step explanation:

The volume is (6*12*5 1/4). Since 6*12 is 72, this is equal to 72*(5 1/4).

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