In triangle RST the vertices have coordinates of R(-1,10),S(5,4)and T (-4,-2). If the midpoints of side RS and RT were connected with a segment, what would the slope of this segment be?


Plz helppp

Answers

Answer 1

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Midpoint of a line segment joining points [tex](x,y)[/tex] and [tex](u,v)[/tex] is given by [tex](\frac{x+u}{2},\frac{y+v}{2} )[/tex]

Points are R(-1,10),S(5,4)and T (-4,-2).

Midpoint of RS = [tex](\frac{-1+5}{2},\frac{10+4}{2} )=(\frac{4}{2},\frac{14}{2} )=(2,7 )[/tex]

Midpoint of RT = [tex](\frac{-1-4}{2},\frac{10-2}{2} )=(\frac{-5}{2},\frac{8}{2} )=(\frac{-5}{2},4)[/tex]

Slope of a line joining points [tex](a,b)[/tex] and [tex](c,d)[/tex] is given by [tex]\frac{d-b}{c-a}[/tex]

Slope of line joining midpoints of side RS and RT = [tex](\frac{4-7}{\frac{-5}{2}-2 })=(\frac{-3}{\frac{-9}{2} })=\frac{2}{3}[/tex]


Related Questions

A college dorm refrigerator measures 18.5 cm by 32 cm 12.2 cm. What is the volume of the collage dorm refrigerator

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Answer:

722.24 cm

Step-by-step explanation:

The volume formula is L X W X H = V  so using that information we can do 18.5 times 32 times 12.2 which gives us 722.24 cm.

What is the next term in the sequence

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27

Step-by-step explanation:

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The correct answer is C.

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Answer:

5/6

Step-by-step explanation:

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Answer:

5=4

Step-by-step explanation:

5=4

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Answer:

angle S    100  option C

Step-by-step explanation:

P and S are consecutive angles

Interior angles of a parallelogram

1. Opposite angles are congruent

2. Consecutive angles are supplementary (They add to 180 )

(2x+20) + (3x+10) = 180

5x+30 = 180

5x = 150

x= 30

angle S      3x30 +10 =

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William is planning to cover one side of the roof of his barn with solar panels.
The part of the roof he plans to cover is 12 feet by 30 feet, and each solar panel is
encased in a frame that is 16 inches by 20 inches. What is the minimum number
of solar panels that William will need to purchase to completely cover this part
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I

Answers

Answer:

5 i think

Step-by-step explanation:

to start you need to find the total area the side of the roof he plans to cover which is 360 feet.

16x2 + 20x2 = 72

so lets just say thats the total area of one solar panel then you could just divide 360 feet by 72 feet to get...

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i could be spouting nonsense rn.. so sorry if im wrong

A line with a slope of 3 passes through the point (-1, 2).
Write an equation for this line in point-slope form.

Answers

Answer:

y-2=3(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-2=3(x-(-1))

y-2=3(x+1)

the diameter of a circle is 14m. find the circumference to the nearest tenth​

Answers

Answer:

44

Step By Step Explanation:

Formula for circumference - 2πr

1. Find raduis: 14/2=7 - Radius=7

2. Plugin number and solve - 2π(7)=43.9822971503

3. Round 43.9822971503 to 44.

2.08/4

i also need a explanation on it

Answers

Answer:

0.52

Step-by-step explanation:

First, I would do 2 divided by 4 is 0.5. Then I would do 0.08 divided by 4 and get 0.02. Finally, I would add 0.5 and 0.02 and get 0.52.

Please give me the correct answer.​

Answers

Answer:

The rate of change is 2 euros.

Step-by-step explanation:

You can see on the graph the cost goes up 2 euros each hour. Hope this helps!

It’s 2 1:14 1:16
16-14 =2
Then same things for every other number/ratio
Rate of change = 2

Which is an equivalent expression written using Distributive property: 3 (m + 3)

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Answer:

3m + 9

Step-by-step explanation:

Help please will mark

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Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

triangle on the side is 1/2bh = 24 and there are 2 of those triangles

24+24

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24+24+200

the bottom rectangle 20x8 = 160

24+24+200+160

the back rectangle 6x20 = 120

24+24+200+160+120

how many cats can fit in one box?

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Answer:

depends on how big the box and cats are

Step-by-step explanation:

well it defends on how big or small the box is

111111111111111111111111111111111111111

Answers

Answer:

its the first one

Step-by-step explanation:

Answer: A
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Answers

You need to subtract. From 180 and the other number so subtract 180
- 124
And you will get your answer. I hope this helps.

Alyssa, Bradley, Carl, and Dionne each made a statement about the relation {(1,2), (3,4), (5,6),100,101)). Which student's statement is completely true?
А.
Alyssa said "It is not a function because there are not enough values in the domain."
B
Bradley said "It is a function: y = + 1 for all in the domain."
C С
Carl said it is not a function because the values in the domain are not interchangeable with those in the range."
Dionne said "It is a function: y = x + 1 for all in the domain."
D.

Answers

Answer:

Dionne is correct

Step-by-step explanation:

x=1 y=x+1 for example: if x=33 y would = 34

The correct statement is " It is a function: y = x + 1 for all in the domain."

Option D is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

(1, 2), (3, 4), (5, 6), (100, 101)

We can make a  function.

y = mx + c

Now,

Take two ordered pairs.

(1, 2) and (3, 4).

And,

m = (4 - 2) / (3 - 1)

m = 2/1

m = 1

Now,

(1, 2) = (x, y)

2 = 1 x 1 + c

2 - 1 = c

c = 1

Now,

y = x + 1

So,

The relation is a function and the function is y = x + 1.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ6

uh help hereeeee pls.

Answers

Answer:

d.PS

Step-by-step explanation:

option D,line PS is opposite

okay heres the photo

Answers

Anwser = 117


Hope it helped

please could u help me with this?​

Answers

43.68. You multiply the base by the height

PLEASE HELP!! 50 POINTS!
Answer the question in the picture.

Answers

Answer:

1.9

2.16

3.225

4.196

5.25

6.256

I answered again since they deleted mine

1.9

2.16

3.225

4.196

5.25

6.256

hope it helps

10
TIME REMAINING
53:58
After how many seconds does the object reach its
maximum height?
O 2 seconds
O 3 seconds
O 6 seconds
O 9 seconds

Answers

If I’m correct, it’s 2 seconds.

what is the value of x ? ​

Answers

Answer:

97 degrees

Step-by-step explanation:

360 degrees is our total. so:

306 - 60 - 30 - 72 - 46 - 55 = x

x = 97

3 (t + 4) = 25.5

t= ??

Answers

Answer:

t = 4.5

Step-by-step explanation:

Distribute 3 to the parentheses:

3(t + 4) = 25.5

3t + 12 = 25.5

Subtract 12 from both sides:

3t = 13.5

t = 4.5

So, the answer is t = 4.5

please help me its my plato grade

Answers

Answer:

C)

Step-by-step explanation:

because the graph has been translated 5 units to the left and one unit down, and C matches the requirements

Charlie Fox's Pizza has a coupon for 30% off an extra large pizza. If the pizza you want
regularly costs $28, how much would the sale price be?

Answers

Answer:

8.4

Step-by-step explanation:

Move the decimal point to create $2.8, which is 10% of $28. Once you have the 10% ($2.8) multiply it by 3 to get 30%.

Decide whether each expression simplifies to a number less than -1 or greater than 1.

Less than -1
Greater than 1
Neither


(-10) divided by 6
-(5 divided by 2)
-3 divided by (-4)
-2• [- 7/2]
8/3•[-3:5]

Answers

Answer:

Step-by-step explanation:

(-10) ÷ 6 = [tex]\frac{-10}{6}=\frac{-5}{3}=-1\frac{2}{3}[/tex]   less than -1

-(5÷2) =[tex]-\frac{5}{2}=-2\frac{1}{2}[/tex]    less than (-1)

(-3÷ (-4) = [tex]\frac{-3}{-4}=\frac{3}{4}[/tex]   Neither

(-2)* [-7/2] = [tex](-2)* \frac{-7}{2}=(-1)*(-7)=7[/tex] Neither

(8/3)*(-3/5)=[tex]\frac{8}{3}*\frac{-3}{5}=\frac{-8}{5}=-1\frac{3}{5}[/tex]     less than (-1)

In ARST, r = 52 cm, s = 55 cm and ZT=48°. Find the length of t, to the nearest
centimeter.

Answers

9514 1404 393

Answer:

  44 cm

Step-by-step explanation:

The law of cosines is applicable.

  t^2 = r^2 + s^2 -2rs·cos(T)

  t^2 = 52^2 +55^2 -2·52·55·cos(48°) ≈ 1901.57

  t ≈ √1901.57 ≈ 43.607

The length of t is about 44 cm.

Hey there!

[tex]\dagger \: \sf\red{Question:}[/tex]

In ARST, r = 52cm, s = 55cm and ZT = 48°. Find the length of T, to the nearest centimeter.

[tex]\dagger \: \sf\blue{Solution:}[/tex]

By the law of cosines,

[tex]{\underline{\boxed{\frak{\pmb{\quad {t}^{2} = {r}^{2} + {s}^{2} - 2rs \times cos(T) }}}}} [/tex]

[tex]\implies\tt[/tex] t² = (52)² + (55)² - 2 × 52 × 55 × cos(48°)

[tex]\implies\tt[/tex] t² ≈ 1901.57

[tex]\implies\tt[/tex] t² = √1901.57

[tex]\implies\tt[/tex] t² = 43.607

[tex]\implies\tt[/tex]t = 44 cm

Therefore;

The length of t is 44 cm.

Whats the perimeter?

Answers

Answer: The perimeter is 40.1

Step-by-step explanation: This is because a perimeter is just all the sides added up so 8+4+4+4.5+5.6+14 which is 40.1

Hope this helps and have a nice day

Answer:

The perimeter is 40.1

Step-by-step explanation: This is because a perimeter is just all the sides added up so 8+4+4+4.5+5.6+14 which is 40.1

Hope this helps and have a nice day

Step-by-step explanation:

what is the ratios to 25:90

Answers

Answer:

5/18

Step-by-step explanation:

25 / 90 =5*5 / 5*18 =5/18
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