Point a is at (-1,-9) and point m is at (0.5,-2.5) point m is the midpoint of a and point b what coordinates of point b

Answers

Answer 1

Answer:

B (2, 4)

Step-by-step explanation:

A (-1,-9); M (0.5, -2.5); B (xB, yB)

M is the midpoint of AB, therefore we have these 2 equations:

(*) xA + xB = 2. xM

(**) yA + yB = 2. yM

(*) <=> xB = 2. xM - xA = 2x0.5 - (-1) = 1 + 1 = 2

(**) <=> yB = 2. yM - yA = 2x(-2.5) - (-9) = -5 + 9 = 4

So, B (2, 4)


Related Questions

I have tried 3 times to solve this.​

Answers

Step-by-step explanation:

Year 2006- y = 0.09 (6) + 0.04 = 0.58

Year 2008- y = 0.09 (8) + 0.04 = 0.76

Year 2010- y = 0.09 (10) + 0.04 = 0.94

Year 2012- y = 0.09 (12) + 0.04 = 1.12

Year 2014- y = 0.09 (14) + 0.04 = 1.3

"Let x = 6 which is corresponded to 2006", so 8 would correspond to 2008, 10 would correspond to 2010, 12 would correspond to 2012, and 14 would correspond to 14. Plug 6 for x into your equation and do them same for the others.

Hopefully this helps you! :)

find the answer to = d/4 < 16

Answers

Answer:

d < 64

.....................

What are the solution(s) of X2-4=0?

Answers

Answer:

-2 or 2

Step-by-step explanation:

So we have the equation:

[tex]x^2-4=0[/tex]

Add 4 to both sides:

[tex]x^2=4[/tex]

Take the square root of both sides:

[tex]x=\pm 2[/tex]

Therefore, our answers are -2 or 2.

And we're done :)

Translate the sentence into an equation. Four more than the quotient of a number and 8 is 9. Use the variable y for the unknown number.

Answers

Equation : 4+( y/8) = 9

A 351- foot rope is cut into three pieces. The second piece is twice as long as the first. The third piece is 3 times as long as the second. How long is the shortest piece of rope?

Answers

Answer:

87.75

Step-by-step explanation:

the sum 4 times a number and 7 is 31​

Answers

Step-by-step explanation:

I'm not sure what you're looking for exactly, but it translates to this equation

4x + 7 = 31

The sum of 2 times a number and 10 is the same as 6 times the difference of the number and 1. What is the number? -4 -1 1 4

Answers

Answer:

4

Step-by-step explanation:

let 'x' be the unknown number

let's change the statment to an equation

2x + 10 = 6 (x-1)

2x + 10 = 6x - 6

2x - 6x = -6 - 10

-4x = -16

-4x = - 16

-4. -4

x = 4

hope u like it ❤❤❤

For any question comment me

Answer:

4

Step-by-step explanation:

(-2)+1 can someone help me​

Answers

Answer:

-1

Step-by-step explanation:

When you add a positive num to a negative number the negative number goes in the direction towards zero.

hope this helps you:)

The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects, Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let a represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.​

Answers

Answer:

Statement 2, Statement 4, and Statement 5 all applies

Step-by-step explanation:

Statement 1:

The expression 50ℎ represents the total charge for Rock the House Digital Designs.

Rock the House Digital Designs:

Initial consultation charge of $500 + $50 for every additional hour of work for the house plans

500 + 50h

NOT TRUE

Statement 2:

The expression 75ℎ represents the total charge for Elegance Home Architects.

Elegance Home Architects:

$75 per hour for the house plans

75h

TRUE

Statement 3:

The cost for using Rock the House Digital Designs for an initial consultation only is $550.

The cost for using Rock the House Digital Designs for an initial consultation only is $500

NOT TRUE

Statement 4:

If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

Rock the House Digital Designs = 500 + 50h

500 + 50(15)

= 500 + 750

= $1,250

Elegance Home Architects = 75h

= 75(15)

= $1,125

TRUE

Statement 5:

If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

Rock the House Digital Designs = 500 + 50h

= 500 + 50(40)

= 500 + 2,000

= $2,500

Elegance Home Architects = 75h

= 75(40)

= $3,000

TRUE

5/6 + 2/3 = ?
Your
answer

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

Improper Fraction: [tex]\frac{10}{6}[/tex]

Proper Fraction: [tex]1\frac{4}{6}[/tex]

Simplified Proper Fraction: [tex]1\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{5}{6} + \frac{2}{3}[/tex] Is our equation... first we must find a common denominator! Let's take a look...

6: 1, 6, 12

3: 1, 3, 6

We see that both numbers get to 6 so we use that as our common denominator. Now we plug that in...

[tex]\frac{5*1}{6*1} +\frac{2*2}{3*2}[/tex]

We get...

[tex]\frac{5}{6} +\frac{4}{6} = \frac{10}{6}[/tex]

Now if you want to leave it as an improper fraction your answer will be [tex]\frac{10}{6}[/tex]. However, if you want you answer to be a proper fraction your answer is [tex]1\frac{4}{6}[/tex] which can be simplified further to,[tex]1\frac{2}{3}[/tex].

Whew! What a toughie! We showed that math problem!

Can anyone help me with this question ?

Answers

Answer:

addition

Step-by-step explanation:

18 ( d - 9 ) = 198

     3

divide both side by 18

d - 9 = 198  

3             18

d - 9 = 11

3

multiply both sides by 3

d - 27 = 33

add 27 to both sides

d = 33 + 27

lastly, add them together

d = 60

therefore, the last step is addition

Solve the equation: only write the number is the box
2( 5x+2)=54

Answers

Answer: x = 5

Explanation:

2(5x + 2) = 54
10x + 4 = 54
10x = 54 - 4
10x = 50
x = 50/10
x = 5

Therefore, x = 5

4(2x-8)=3(2-3x) Pls tell Me what the answer is

Answers

Answer: X = 38/17

8x - 32 = 6 - 9x
8x = 6 - 9x + 32
8x = -9x + 38
8x + 9x = 38
17x = 38
X = 38/17

Decimal Form: 2.235294

3. Write an equation to represent the situation:
The total cost of three equally priced DVDs is
$45. How much does each DVD cost?

Answers

Answer:

x=45/3

Step-by-step explanation:

Since total cost for equally priced three DVDs is $45. Therefore, each should cost 45 divided by 3.

Answer:

$15

Step-by-step explanation: easy 45/3 since they are equally prized which would equal 15

Which of these choices is equivalent to the expression: i85

Answers

Answer:

[tex]i^{85} = i[/tex]

Step-by-step explanation:

The options are missing; however, the question can still be solved.

Given

[tex]Number = i^{85}[/tex]

Required

Simplify

[tex]Number = i^{85}[/tex]

Rewrite 85 as 84 + 1

[tex]Number = i^{84 + 1}[/tex]

Split the expression using the law of indices

[tex]Number = i^{84} * i^1[/tex]

Rewrite 84 as 4(21)

[tex]Number = (i^{4})^{21} * i^1[/tex]

In complex numbers, [tex]i^4 = 1[/tex]

So, we have

[tex]Number = 1^{21} * i^1[/tex]

[tex]Number = 1 * i[/tex]

[tex]Number = i[/tex]

Hence;

[tex]i^{85} = i[/tex]

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

Answers

Answer:

2

Step-by-step explanation:

Pull out like factors :

  2x - 4  =   2 • (x - 2)

(4x +  (2 • (x - 5))) -  6 • (x - 2)

 (4x +  2 • (x - 5)) -  6 • (x - 2)

Final Answer:

2

A random sample of adults were asked whether they prefer reading an e-book over a printed book. The survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who preferred reading an e-book.

Answers

Answer:

The confidence interval is  (0.1008, 0.1792)

Step-by-step explanation:

According to the question, the data provided is as follows

p′=0.14

sampling standard deviation of σp′= 0.02

Based on the above information

The computation of the 95% confidence interval for the true or correct proportion is

Here we apply the z value of 95% confidence interval i.e. 1.96

Now the confidence interval is

[tex]= (pcap - z\times sigma, pcap + z\times sigma)\\\\= (0.14 - 1.96\times 0.02, 0.14 + 1.96\times 0.02)\\\\= (0.1008, 0.1792)[/tex]


How do you write 0.1 as a fraction?

Answers

Answer:

1/100

Step-by-step explanation:

Answer:

0.1 can be written as 1/10

Step-by-step explanation:

0.1*10/1*10

The square root of 39 is between which two integers?

Answers

Answer:

6 and 7 sorry if im wrong

(x-6)(x2+3x+4) Please show working or at type a sentence on how you got it.

Answers

Answer:

x³-3x²-14x-24

Step-by-step explanation:

(x-6)(x^2+3x+4)

first multiply x by x^2+3x+4

x×x²=x³

x×3x=3x²

x*4=4x               add

x³+3x²+4x ( first part)

multiply -6 by x²+3x+4

-6x²-18x-24

x³+3x²+4x -6x²-18x-24  ( simplify)

x³-3x²-14x-24

If a+b+c=9 ab +bc+ca=12 find a2+b2+c2

Answers

Step-by-step explanation:

(a + b + c)^2 = (a^2 + b^2 + c^2) + 2(ab + bc + ca).

Therefore 9^2 = (a^2 + b^2 + c^2) + 2(12).

a^2 + b^2 + c^2 = 81 - 24 = 57.

Please find attached photograph for your answer.

(r/s)(3) = ?

please help.

Answers

Answer:

[tex]\frac{3r}{s}[/tex]

Answer:

It’s 2

Step-by-step explanation:

AC but is 20 m above the surface of the ocean what is the Evevation

Answers

Sea level starts at 0m

Since we start at 0 and it is 20m above sea level, we can add.

0 + 20 = 20m

Therefore, the elevation is 20m

Best of Luck!

4. Assume that you have a part-time job at which you work 20 hours per week at the rate
of $7.50 per hour (net of all payroll deductions). You are also required by your parents to
pay all your expenses, except rent and three meals a day, from those earnings. How much
per minute would you earn?

Answers

Answer:

0.125

7.50/60=1.25

since there 60 minutes in one hour you would divide the hourly rate by 60.

Which of the following is most likely the next step in the series?

Answers

the answer would be b.
it’s most likely to the next step

The most likely next step in the series is Option B.

Option B is the correct answer.

What is a series of patterns?

A series of patterns is a sequence of related designs, shapes, colors, or other elements that follow a consistent and predictable order.

The patterns may repeat or vary in a systematic way, creating a sense of rhythm, symmetry, or harmony.

We have,

From the series of patterns, we see that,

The number of arrows is increasing in odd arithmetic numbers.

So,

1, 3, 5,

The next step must have 7 arrows.

And,

The color is alternated as:

Red, Blue, Red Blue.

So,

The next step in the series must be a blue color.

Thus,

The most likely next step in the series is Option B.

Learn more about a series of patterns here:

https://brainly.com/question/29192844

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calculate the perimeter of a triangle whose dimensions are 1 m 60cm, 1m 80cm and 2m​

Answers

Answer:

540 CM

Step-by-step explanation:

The perimeter means the sum of the distance around a particular shape

1M=100 CM

2M=200 CM

200+60+80+100+100=540CM

A vehicle factory manufactures cars. The unit cost (the cost in dollars to make each car) depends on the number of cars made. If cars are made, then the unit cost is given by the function . What is the minimum unit cost? Do not round your answer.

Answers

Answer:

The function is missing in the question. The function is [tex]$ C(x) = 0.8x^2 -544x +97410 $[/tex]

The answer is 4930

Step-by-step explanation:

Unit cost of a car is given as

[tex]$ C(x) = 0.8x^2 -544x +97410 $[/tex]

Cost will be minimum when

x = -(-544)/ 2 x 0.8

  = 340

Therefore, minimum cost for unit car is

[tex]$ C(x) = 0.8x^2 -544x +97410 $[/tex]

[tex]$ = 0.8(340)^2 -544(340) +97410 $[/tex]

=  4930

Fill in the missing steps and justifications used to solve the given equation.

Answers

Right box
3. Simplification
4. Addition property of equality

Left box
6x-7+7=12+7

X=19/6

In Left BOX

6x-7 + 7 = 12+ 7x = 19/6

in Right Box

Simplification Addition property of equation

What are the Properties of the equation?

Equilibrium, reflexivity, symmetry, transitivity, and the properties of operations are all solved by equations' properties. These properties hold true in propositional language as well as in algebra and arithmetic.

Hence, Here the solution is a step toward solving the given equation by using simplification.

Learn more about the properties of the equation here:

https://brainly.com/question/18111494

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Lawrence High prevailed in Saturday's track
meet with the help of 20 individual event
placers earning a combined 68 points. A
first place finish earns 5 points, a second-
place finish earns 3 points, and a third-place
finish earns 1 point. Lawrence had a strong
second-place showing, with as many second
place finishers as first and third-place
finishers combined.

Answers

Answer:

The answer is below

Step-by-step explanation:

Let x represent a first place finish, y represent a second place finish and z represent a third place finish.

Since there is a total of 20 individual events, hence:

x + y + z = 20          (1)

A first place finish is 5 point, a second place finish is 3 point and third place finish is 1 point. Therefore:

5x + 3y + z = 68      (2)

The second  place finishers is as much as first and third-place  finishers combined. Hence:

y = x + z                   (3)

Solving equation 1, 2 and 3 simultaneously gives:

x = 7,  y = 10 and z = 3

This means the number of first place finishes was 7, second place finishes was 10 and third place finishes was 3

Add 0 and write t
8
+
0

Answers

Answer:

8t

Step-by-step explanation:

Add 0 to 8 and then add the letter variable t.

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