Find the midpoint of the segment with the following endpoints.
(2,9) and (8,1)

Answers

Answer 1

Answer:

[tex]\displaystyle (5,5)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point (2, 9)

Point (8, 1)

Step 2: Identify

(2, 9) → x₁ = 2, y₁ = 9

(8, 1) → x₂ = 8, y₂ = 1

Step 3: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute in points [Midpoint Formula]:                                                         [tex]\displaystyle (\frac{2+8}{2},\frac{9+1}{2})[/tex][Fractions] Add:                                                                                                  [tex]\displaystyle (\frac{10}{2},\frac{10}{2})[/tex][Fractions] Divide:                                                                                              [tex]\displaystyle (5,5)[/tex]

Related Questions

A student had 500 of water in a water bottle . She drank 30 % of the water before soccer practice practice drank of the water much water to the nearest milliliters does the student have left in the bottle ?

Answers

The student has 350 milliliters of water on the water bottle after she drank 30% of it.

30%=0.30
500 × 0.30=150
500-150=350

Answer:

piece of cake, she got 350ml of water left

Step-by-step explanation:

lets find out what 10% of 500 is, which is 50

so 20% is 100

we do 10% 3 times, so 50x3=150

500-150=350

it is 350

50 POINTS
Solve the system of equations
y=2/3x + 4
2x - 3y=3

A: Infinite Solutions


B: No Solution


C: (3,2)


D: (2,-3)

Answers

Answer:

B) no solution

Step-by-step explanation:

this can be solved by substitution method

y= ⅔x + 4. (equation 1)

and 2x-3y= 3. (equation 2)

substitute for y into equation 2

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

2x - 2x -12=3

0=15

this is a no solution equation

Here

a_1=2/3a2=2b1=-1b2=-3c1=4c2=3

[tex]\\ \sf\Rrightarrow \dfrac{a_1}{a_2}=\dfrac{2/3}{2}=\dfrac{1}{3}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{b_1}{b_2}=\dfrac{1}{3}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{c_1}{c_2}=\dfrac{-4}{3}[/tex]

As

[tex]\\ \sf\Rrightarrow \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex]

It has no solutions

B(c) is a function.
1
2
L
3
А
B(C)
O A. True
O B. False

Answers

I think it’s a function!

Please anybody help I need to finish this today!!

Answers

Answer:

well Liam is right that is the same statement

The question is below.

Answers

Answer:

3/14

Step-by-step explanation:

12/56 is equivalent to 3/14

Answer:

14

Step-by-step explanation:

We simplify the fraction 12/56 by dividing the top and bottom by 4 to get 3/14. Thus, it is clear that the question mark is 14.

pls help w give a brainlest

Answers

Answer:

Step-by-step explanation:

(27m^8n^4)^(1/3)

= 27^(1/3) (m6)^(1/3)(n)^(1/3) (m^2n)^(1/3)

= 3m^2n(m^2n)^(1/3)

So the answer is the last.

Each member of a 5- member cross-country team runs a course. Their individual times are as follows: 2 hours 17 minutes 2 hours 48 minutes 1 hour 53 minutes 2 hours 19 minutes 1 hour 38 minutes The team's overall score is the average number of minutes it takes for its members to complete the course. What is this team's score?​

Answers

Answer:

2 hours

Step-by-step explanation:

hopefully

Below is the output from a study to see whether there is evidence of a difference in the mean amounts of time required to reach a customer service representative between two hotels. Assume that the population variances in the amount of time for the two hotels are not equal. What is the smallest level of significance at which the null hypothesis will still not be rejected?


Hotel 1 Hotel 2
Mean 2.214 2.0115
Variance 2.951657 3.57855
Observations 20 20
Hypothesized Mean Difference 0
df 38
t Stat 0.354386
P(T<=t) one-tail 0.362504
t Critical one-tail 1.685953
P(T<=t) two-tail 0.725009
t Critical two-tail 2.024394


Required:
a. State the null and alternative hypotheses for testing if there is evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels.
b. What is the value of the test statistic for testing if there is evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels? Explain how you obtain your answer.
c. What is the critical value for testing if there is evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels at the 5% level of significance?


Answers

Solution :

a). [tex]$\text{Set up hypothesis}$[/tex]

    [tex]$\text{Null hypothesis}$[/tex] : There is no significance between them.

                                  [tex]$H_0:\mu_1=\mu_2$[/tex]

    [tex]$\text{Alternate hypothesis}$[/tex] : There is significance between them.

                                 [tex]$H_1:\mu_1!=\mu_2$[/tex]

b). Test statics

    [tex]$X(\text{mean}) = 2.214$[/tex]

    Standard deviation [tex]$(s.d1)=1.718; \text{Number}(n_1)=20$[/tex]

    [tex]$Y(\text{mean})=2.0115$[/tex]

     Standard deviation [tex]$(s.d2)=1.8917; \text{Number}(n_2)=20$[/tex]

     We use the test statics :

  [tex]$t=\frac{X-Y}{\sqrt{\frac{s.d1^2}{n_1}+\frac{s.d2^2}{n_2}}}$[/tex]

 [tex]$t_0=\frac{2.214-2.0115}{\sqrt{\frac{2.95152}{20}+\frac{3.57853}{20}}}$[/tex]

 [tex]$t_0=0.35$[/tex]

[tex]$|t_0|=0.35$[/tex]

c. The critical value of |t| with minimum [tex]$(n_1-1)$[/tex] , i.e. 19 d.f is [tex]$2.093$[/tex]

   We got [tex]$|t_0|$[/tex] = 0.35439 and |t| = 2.093

What is the mean of the data?

11
5
3
8

Answers

The answer to this question is 6.75
The answer is 5. After adding all the numbers I divided it by how much number there is so 3+3+4+4+5+5+5+5+6+7+8 which = 55 and then divide by 11 cus that’s how much numbers there’s are which makes the answer 5

Mr. Feeney bought triple as many pencils as Ms. Debatty. If Ms. Debatty purchased p
pencils, then how many pencils did Mr. Feeney purchase?

Answers

Answer:

3p

Step-by-step explanation:

Marlene earned $178 at her summer job. She already had savings of $98.25. She buys a T-shirt for $19.50. How much money does she have left?

Answers

Answer:

$256.75

Step-by-step explanation:

$178 + $98.25 = $276.25

$276.75 - $19.50 = $256.75

hi... 424×424+424-424÷424=?​

Answers

Answer:

180199

thenks and make me the brainliestt :))

If my dad is 3x my age today and he was 4x my age 10 years ago, how old will I be in 25 years from now?

Answers

Answer:

  55

Step-by-step explanation:

We can use the given relations to write an equation that can be solved for my age 25 years from now.

__

Let x represent my age in 25 years. The age relationships can be summarized as ...

in 25 years -- me: xnow -- me: x-25; dad: 3(x-25) = 3x-7510 years ago -- me: x-35; dad: 3x -85

We know 10 years ago my dad was 4 times my age, so we have ...

  4(x -35) = 3x -85

  4x -140 = 3x -85 . . . eliminate parentheses

  x = 55 . . . . . . . . . . . add 140-3x

I will be 55 in 25 years from now.

_____

Additional comment

10 years ago, I was 20 and my dad was 80. Now, I'm 30 and my dad is 90. In 25 years, I'll be 55.

How many books could you read in 114 days if you read 2 books every 3 days?

Answers

Answer:

76 books

Step-by-step explanation:

2/3 × 114 = 76

__________

What is the following product?
3.125 V6-7/3 )

Answers

Answer:

-2.33333333333333333333333

Step-by-step explanation:0

Suppose that an individual has a body fat percentage of 16.2% and weighs 164 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.

Answers

Answer:

26.6 pounds

Step-by-step explanation:

Hope this helps :)

Have a great summer!! :)

Answer:

26.6 pounds

Step-by-step explanation:

You must find 16.2% of 164.

10%=16.4

5%=8.2

1%=1.64

0.1%=0.164

0.2%=0.328

16.4+8.2+1.64+0.328=26.568

rounded = 26.6 pounds

Saj has made 7 litres of curry sauce.
He wants to put the curry sauce intojas.
Each jar can be completely filled with 375 millilitres of cury sauce.
Saj wants to completely fill as many jars as possible with cury sence.
How many jars can be fill?

Answers

Answer:

18 jars can be filled completely.

Step-by-step explanation:

7L=7000ml

1 jar contain 375 ml

375ml can be filled in 1 jar

375ml=1 jar

1 ml = 1/375 jar

7000 ml = 7000× 1/375 jar

7000ml= 18.67 jar

hence 18 jars can be filled completely.

The total number of jars that can be filled with sauce is A = 18 jars

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Saj has made 7 litres of curry sauce = 7000 mL

And , each jar can be completely filled with 375 millilitres of cury sauce

So , the number of jars A = 7000 / 375

On simplifying the equation , we get

A = 18.67 jars

Hence , the number of jars is A = 18 jars

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

7pie/2 converted to degrees

Answers

Formula to convert radian into degrees

radian × (180°/π) = degrees

7π / 2 × 180 / π = 630°

For i^2 =-1, (3-i)^2 = ?

A. 8
B. 10
C. 8-6i
D. 8 + 6i
E. 10-6i

Answers

C. 8- 6i
(3- i) to the power of 2 (expand the expression)

9- 6 i + i to the power of 2
calculate

9 - 6i - 1
calculate

8- 6i.

What’s -9/25 as a decimal

Answers

-0.36 is the answer because

-9 divide 25 = -0.36

COLLEGE MATH!!! Please help me!

Answers

Answer:

( [tex]-\infty[/tex], 0) and (8, [tex]\infty[/tex])  

Step-by-step explanation:

Curve is concave downward when the second derivative is negative.

y' = [tex]\frac{x^{2} }{x^{2} -x+4}[/tex] , by the Fundamental Theorem of Calculus

y'' =   [tex]\frac{-x^2+8x}{\left(x^2-x+4\right)^2}[/tex] , which has a denominator that is always positive. The numerator [tex]-x^2+8x[/tex] is negative when x > 0 and when x < 8. So that is when y'' is negative, and consequently when the curve y is concave down.

Find the margin of error for the given values of c, s, and n.
c=0.95, s=2.5, n = 26

Answers

Answer:

0.9609

Step-by-step explanation:

Margin of error is expressed using the formula;

M = z * √s²/n

z is the 95%  z score = 1.96

s is the standard deviation = 2.5

n is the sample size  = 26

M = 1.96 * √2.5²/26

M = 1.96 * √0.2404

M =  1.96 * 0.49029

M = 0.9609

Hence the margin of error is 0.9609

What is 26.509 written in Expanded Form?

Answers

(2 x 10) + (6 x 1) + (5/10) + (0/100) + (9/1000)

given sin x= 7/25 abd cos x = 24/25. what is the ratio for tan x?​

Answers

Answer:

Solution given:

[tex] sin x=\frac{7}{25}[/tex]

[tex]Cosx=\frac{24}{25}[/tex]

Tanx=[tex]\frac{sinx}{cosx}=\frac{\frac{7}{25}}{\frac{24}{25}}[/tex]

Tan x=[tex] \frac{7*25}{24*25}[/tex]

tan x=[tex] \frac{7}{24}[/tex]

is a required answer.

I need this please ya

Answers

GE = 26

Step-by-step explanation:

OP = 16 + 9 = 25

PE - OG = 7

Using Pythagorean theorem,

(GE)^2 = (OP)^2 + (PE - OG)^2

=(25)^2 + (7)^2

= 625 + 49

= 674

or

GE = √674 = 25.96 or 26

if the original price is $50 and the final price is $60, the percent increase in price is​

Answers

Answer:10

Step-by-step explanation:

60-50

20% I believe I hope this helps! Good luck.

Shirts are 5% off. The original price of one shirt is $15. What is the total cost, in dollars, of a shirt at the sale price, including a 10% sales tax​

Answers

Answer:

$15.75

Step-by-step explanation:

[tex]\frac{y}{15} :\frac{5}{100}[/tex]

y × 100 = 5 × 15

100y = 75

100y ÷ 100 = 75 ÷ 100

y = 0.75

$15 - $0.75

$14.25

[tex]\frac{y}{15} :\frac{10}{100}[/tex]

y × 100 = 10 × 15

100y = 150

100y ÷ 100 = 150 ÷ 100

y = 1.5

$14.25 + $1.50

$15.75

Which statement best describes g(x) = cube root x + 6 - 8 and the parent function f(x) = cube root X?

Answers

Answer:

Here we can not see the options, so I will answer in a general way.

We have the equations:

g(x) = ∛(x + 6) - 8

f(x) = ∛x

First, let's describe the translations.

Vertical translation:

When we have a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

Such that if N is positive, the translation is upwards

If N is negative, the translation is downwards.

Horizontal translation:

When we have a function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N)

If N is positive, the translation is to the left

If N is negative, the translation is to the right.

Now that we know that, we can compare the functions:

g(x) = ∛(x + 6) - 8

f(x) = ∛x

So if we start with f(x), we can have a horizontal translation of 6 units to the left:

g(x) = f(x + 6)

And then a vertical translation of 8 units down:

g(x) = f(x + 6) - 8

∛(x + 6) - 8 = f(x + 6) - 8

Then g(x) is the function that you get when you apply a horizontal translation of 6 units to the left followed of a vertical translation of 8 units down to the function f(x)

Answer: c on edge

Step-by-step explanation:

the sum of digits of two digit number is 6 when we interchange the digits it is found that the resulting number is greater than the original number by 18. what is the two digit number? ​

Answers

Answer:

24

Step-by-step explanation:

Original Number :-

Given that ,

Sum of digits is 6 .

Let ,

Tens place = x Units place = 6 - x

Number ,

10x + 6 - x = 9x + 6

On interchanging the digits :-

Tens place = 6-x Units place = x

→ Number = 10( 6-x) + x

→ Number = 60 - 10x + x

Number = 60 - 9x

According to Question,

→ 9x + 6 + 18 = 60 - 9x

→ 18x = 60 - 24

→ 18x = 36

→ x = 36/18

x = 2

N = 9x + 6 = 18+6 = 24

Hence the required answer is 24.

Convert 15 g/dL to mg/uL

Answers

Answer:

15000 mg/uL

Step-by-step explanation:

If 1 g/dL = 1000 mg/uL, 15 g/dL = 15,000 mg/uL

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