8. The endpoints of ST are s(-3, 2) and t(5,8). Find the coordinates of the midpoint of ST. Then find ST. OA midpoint: (1,5); ST = 5 OB midpoint: (1, 4); ST = 10 с midpoint: (1, 5); ST = 10 midpoint: (2,5); ST = 10​

Answers

Answer 1

Answer:

The mid point of ST is (1,5) and ST = 10 units

Step-by-step explanation:

It is given that,

S(-3,2) and T(5,8). We need to find the coordinates of the midpoint of ST and also ST.

Let (x,y) be the mid point of ST. Using mid-point formula we get :

[tex](x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

We have, x₁ = -3, x₂ = 5, y₁ = 2 and y₂ = 8

So,

[tex](x,y)=(\dfrac{-3+5}{2},\dfrac{2+8}{2})\\\\(x,y)=(1,5)[/tex]

(1,5) is the midpoint of ST.

Using distance formula to find ST as follows :

[tex]ST=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\ST=\sqrt{(5-(-3))^2+(8-2)^2} \\\\ST=10\ \text{units}[/tex]

Hence, the mid point of ST is (1,5) and ST = 10 units.


Related Questions

Which function represents exponential decay?

f(x) = One-half(2)x
f(x) = Three-fourths(Negative one-fifth)x
f(x) = 3(Seven-halves)x
f(x) = 2(Two-thirds)x

Answers

f(x) = 2(Two-thirds)x


Explanation:
Exponential functions are in the form
y= ab^x If a is positive and b is greater than 1, then it is exponential growth. If a is positive and b is less than 1 but greater than 0, then it is exponential decay.

Answer:

D

Step-by-step explanation:

EDGE2020

x+2x÷y-2y; x=4, y=-2​

Answers

Substitute the value of the variable into the expression and simplify.

4

4 but make sure to show all calculations ^

which expression can be used to solve 3/5 ÷ 7/10​

Answers

Answer:

Step-by-step explanation:

3/5 divided by 7/10

You use KCF

KCF stands for keep change flip

So it would be 3/5x10/7

3              10                    15

_      x       _        =            _

5               7                       7

you need to simplify it so the 5 in 3/5 would be a 1 and the 10 in 10/7 would be  5

Given A (-4,7) and B (12,-1) what are the coordinates of point c on AB so that C partitions AB in the ratio 1 to 7

Answers

Answer:

(-2, 6)

Step-by-step explanation:

1st
what does this situation refers to?

Answers

Can u go closer I can’t see

On average, Mary can drive to the supermarket in 10 minutes.
but depending on Mathie the drive can vary from the average by minutes Which absolute Value equation can be used to calculate wary's maximum and minimum drive times?

Let x represent the maximum and minimum time.

|x+10|=5

|x-10|=5

|x+5|=10

|x-5|=10

Answers

Answer:

it is going to have to be the 3rd one

Answer:

|x−10|=5

Step-by-step explanation:

just took the test

solve one variable linear equation 7h-5(3h-8) = -72

Answers

Answer:

h =14

Step-by-step explanation:

Answer:h=14

Step-by-step explanation:

which equation can be used to find one multiple of 16?​

Answers

Answer:

8×2

Step-by-step explanation:

What is an 1 equation of the line that passes through the points (-2,1) and (6, – 7)?

Answers

Answer:

y - 1 = -1 * (x + 2) < point-slope form

Step-by-step explanation:

y-y₁=m(x-x₁) then I just inserted the following numbers to fit the formula. I hope this helps!

Given: 5(x - 2) = 2x - 4 Prove:
What’s the The proof ?

Answers

Answer:

Step-by-step explanation:

its not right equation

because

5X - 10 ≠ 2X - 4

Please help this sat math problem got me stumped

Answers

2^12 :)

You can re-write the fraction as:
((2^3)^x) / 2^y

Rule for dividing powers gives us:
2^(3x-y)

But we know 3x-y=12, so answer A
Let me know if you want workings out on paper :)

Answer:

option A

Step-by-step explanation:

[tex]3x-y=12\\ =>3x = 12+y\\=>x=\frac{y+12}{3}[/tex]

Putting the value of x in [tex]\frac{8^{x} }{2^{y} }[/tex] gives :-

[tex]\frac{8^\frac{y+12}{3} }{2^y} = \frac{2^3(\frac{y+12}{3} )}{2^y} = \frac{2^{y+12} }{2^y} = 2^{y+12-y}=2^{12}[/tex]

6(n + 2) < -72
Please help !!

Answers

Answer:

n < -14

Step-by-step explanation:

6 (n+2) < -72

6n + 12 < -72

6n < -72 - 12

6n < -84

n < -84/6

n < -14

3x-2(x+3)=4x-9-x is the question

Answers

Answer:

[tex]\large\boxed{x = 7}[/tex]

Step-by-step explanation:

3x - 2(x + 3) = 4x - 9 - x

Start by multiplying 2 by the values in the parenthesis

3x - 2x + 6 = 4x - 9 - x

Subtract 3x - 2x and 4x - x

x + 5 = 3x - 9

Add 9 to both sides of the equation

x + 14 = 3x

Subtract x from both sides of the equation

14 = 2x

Divide both sides of the equation by 2

[tex]\large\boxed{x = 7}[/tex]

Hope this helps :)

The mass of a proton in scientific notation is 1.6 x 10-24 grams. What is the mass of a proton in standard form

Answers

Answer:

Step-by-step explanation:

343

(5x+2) = 32 what is the value of x ?

Answers

Answer:

x=6

Step-by-step explanation:

5x+2=32

Step 1: Subtract 2 from both sides.

5x+2−2=32−2

5x=30

Step 2: Divide both sides by 5.

5x

5

=

30

5

x=6

Answer:

x = 6

Step-by-step explanation:

5x + 2 = 32

Subtract 2 from both sides

5x + 2 - 2 = 32 - 2

           5x = 30

Divide both sides by 5

         5x/5x= 30/5

               x = 6

What letters intersect?

Answers

Answer:

s and t.

Step-by-step explanation:

For this item, any answers that are not whole numbers should be entered as a decimal, rounded to the hundredths place.

Nicole started the say with $63.44 in her bank account. The bank deduced 186.56 from her account for her electric bill. Before the bank closed. Nicole made a deposit equal to 1/4 the amount her account was overdrawn. What was her balance at the end of the day?

Please explain how you got it if you can. :(

Answers

Answer:

- $92.34

Step-by-step explanation:

Start balance:

$63.44

Deduction:

$186.56

Balance after deduction:

$63.44 - 186.56 = -$123.12

Deposit:

$123.12*1/4 = $30.78

Balance at the end of the day:

-123.12 + 30.78 = -$92.34

Which value of x makes the equation 1.25(4x - 10) = 7.5 true

Answers

Answer: x = 4

Step-by-step explanation:

1.25(4x-10)=7.5

5x-12.5 = 7.5

5x = 20

x = 4

Answer:

x=4

Step-by-step explanation:

1.25(4(4)-10)=7.5

1.25(16-10)=7.5

1.25(6)=7.5

7.5=7.5

TRUE

What is the value of the expression below when z
8 and w
3?
9z-8w

Answers

Answer:

48

Step-by-step explanation:

1) 9*8=72

2) 8*3=24

3)72-24=48

Find the distance of LINE SEGMENT ​rs.

Answers

Answer:

11

Step-by-step explanation:

QS = QR + RS ➡ 19 = -1 + x + 2x - 7 add like terms

19 = 3x - 8

27 = 3x

9 = x

RS = 2x - 7 so 2×9 - 7 = 11

Find the mean of the data set: 9. 4, 7, 3, 10, 9

Answers

Answer:

Mean (Average):

7.6

Median (Middle):

9

Mode (Most Common):

9

Range (Biggest - Smallest):

7

Step-by-step explanation:

To figure the mean, add up the numbers,  then divide it by the number of data points.

CAN SOMEONE HELP ME???!!!

Answers

Answer:

The answer is c.

a. no b. no c. yes

i hope that helped

Step-by-step explanation:

Working alone, it takes Micaela eight hours to mop a warehouse. Jill can mop the same warehouse in 12 hours. Find how long it would take them if they worked together

Answers

Answer:

5 hours?

Step-by-step explanation:

normally, two people would cut the time in half, but she takes forever.   half of 12 is 6, half or 8 is 4, so 5, right? the medium answer

30 points to whoever answers first!

Answers

Answer:

141

Step-by-step explanation:

144in.^2 because to find the area of something you need to multiply 12 x 12

Rita’s score increased by 17 is 54
Translate this sentence into an equation

Answers

Answer:

let Rita's score be 'a'

then the equation will be-

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Explanation:

hope this helps you ☺️

if yes then do mark my answer as brainliest

A rectangular garden is 6 feet longer than its wide. The perimeter of it is 52 feet. What equation can be used to find the width?

Answers

Answer:

Hi there!

Your answer is;

the equation

(w+6)+(w+6)+(w)+(w) = 52

The width of this rectangle is 10. The length of this rectangle is 16.

Step-by-step explanation:

Rectangular perimeter:

l+l+w+w

l= w+6

w= w

(w+6)+(w+6)+(w)+(w)

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/4

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Hope this helps!

distribute the following expression: 4 ( g + 9 )

Answers

Answer:

4g + 36

Step-by-step explanation:

Distribute the 4 to the parentheses:

4(g) = 4g

4(9) = 36

Add the terms together:

4g + 36 is the distributed expression

16 is 20% of what? Need answer ASAP

Answers

Answer:

80

Step-by-step explanation:

16=20/100

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∠A and ∠B are vertical angles. If m∠A=(3x-30)° and m∠B=(2x-9)°,then find the value of x.

Answers

Answer:

x = 21

Step-by-step explanation:

Vertical angles are congruent, thus

∠ A = ∠ B , substitute values

3x - 30 = 2x - 9 ( subtract 2x from both sides )

x - 30 = - 9 ( add 30 to both sides )

x = 21

Hello there! :)

[tex]\huge\boxed{x = 21}[/tex]

Vertical angles are congruent, therefore:

∠A ≅ ∠B

3x - 30 = 2x - 9

Subtract 2x from both sides:

3x - 2x - 30 = 2x - 2x - 9

x - 30 = -9

Add 30 to both sides:

x - 30 + 30 = -9 + 30

x = 21.

I AM LOOKING TO PAY SOMEONE $50-$75 A week TO DO MY ENGLISH 2 AND MATH 1 HOMEWORK EVERYDAY Add me on snap - flipdabrick

Answers

Answer:

...

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

got it right

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