When you are trying to find the endpoint when given the midpoint and one point, what would the new formula be? Manipulate the formula using skills for solving literal equations. How would you find LaTeX: x_2\:\:\:or\:\:\:y_2x 2 o r y 2? Use LaTeX: x_m\:\:and\:\:\:\:y_mx m a n d y mto notate the midpoints. Remember the original midpoint formula is LaTeX: \left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)

Answers

Answer 1

Answer:

[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]

Step-by-step explanation:

Given

[tex]\left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)[/tex]

Required

Determine x2, y2

Start by splitting the expression

[tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex] and [tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]

Solving for x2 in [tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex]

Multiply through by 2

[tex]2 * x_m = \frac{x_1 + x_2}{2} * 2[/tex]

[tex]2x_m = x_1 + x_2[/tex]

Make x2 the subject;

[tex]x_2 = 2x_m - x_1[/tex]

Similarly:

[tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]

Multiply through by 2

[tex]2 * y_m = \frac{y_1 + y_2}{2} * 2[/tex]

[tex]2y_m = y_1 + y_2[/tex]

Make y2 the subject;

[tex]y_2 = 2y_m - y_1[/tex]

Hence:

[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]


Related Questions

How long is 75% of 60 minutes? Explain ur reasoning. Also please explain ur reasoning :,)

Answers

Answer:

45

Step-by-step explanation:

10%x60=6 60/10

70%=42 6x7

5%=3 6/2

42+3=45

To prepare for a bake-off, Dan used 0.68 kilogram of flour each day for 4 weeks. How many grams did Dan use in those 4 weeks? (1 kg = 1,000 g) this question is from Zearn and I've been doing the same one for a week now :3 and no im not in highschool it put that for some reason

Answers

Answer:

19040 grams

Step-by-step explanation:

Dan used the amount of flour each day = 0.68 kg

He used the flour for 4 weeks.

So the number of days taken by Dan = 4 × 7 = 28 days

Now amount of flour used in 28 days = Flour used in a day × Number of days

= 0.68 × 28

= 19.04 kg

Since 1 kg = 1000 grams

Therefore, 19.04 kg = 1000 × 19.04 = 19040 grams

Dan used 19040 grams of flour in 4 weeks.

The number of grams of flour that was used is 19040 grams.

Since Dan used 0.68 kilogram of flour each day for 4 weeks, this means that the flours used will be:

= 0.68 × 4

= 2.72kg

Therefore, 2.72kg will be converted to grams and this will be:

= 2.72 × 1000 = 2720 grams

Now, we'll multiply the value by 7 since there are 7 days in a week. This will be:

= 2720 × 7 = 19040

Read related link on:

https://brainly.com/question/17025675


A 3-yard roll of butcher paper costs $8.55. What is the price per foot?

Answers

Answer:

$2.85

Step-by-step explanation:

8.55/3

Answer:

$2.85 per foot

Step-by-step explanation:

all u gotta do is 8.55/3

you earn $25 for washing 5 cars how much do you earn for washing 4 cars

Answers

You will earn $20 washing 4 cars

HELKPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPIHUJGYJUH

Answers

Answer:

B

Step-by-step explanation:

the hundredths place is the 5 written as 0.05 and the 4 is written as 0.004 meaning it needs to be changed to thousandths not hundredths.

being a rectangle is a necessary condition for being a square

Answers

Answer:

false

Step-by-step explanation:

all rectangles are squares not all squares are rectangles

what is half of 2^6?????
Need this asap so if you see this and are willing to help me please do

Answers

Answer:

32

Step-by-step explanation:

2 to the 6th power is also 2 x 2 x 2 x 2 x 2 x 2 which equals 64 so then you multiply it by .5 (half) to get 32 :)

Answer:

32

Step-by-step explanation:

2^6= 64

64/2= 32

Figure B is a scaled copy of Figure A.

Answers

Answer:

1/3

Step-by-step explanation:

On left side its 6:2 so 6/2 is 3

the scale factor is 1/3 because figure is a reduction

hope it helps ;)

Answer:

1/3

Step-by-step explanation:

The side that's highest is 9 units, the the image its 3. 3/9= 1/3

what is the slope of a line perpendicular to the line whose equation is 2x-y=-6

Answers

Answer:

m⊥ = –½

Step-by-step explanation:

First, put the given equation in slope-intercept form:

2x – y = –6

–y = –2x – 6

y = 2x + 6

The slope of the line perpendicular to the line given will be the negative reciprocal of the given line's slope, so:

If m = 2, then m⊥ = its negative reciprocal:

m · –1

2 · –1

–2  →  –½

So, the negative reciprocal of 2 is –½.

Srurface area 1m 2m 1m

Answers

Answer:4

Step-by-step explanation: 1x2x1x2

Answer: it would be 2

Step-by-step explanation:

Here is the equation of four straight lines. Two of these lines are parallel. Which two
lines? (3)

Line A y = 2x+3
Line B 2y = 6- 3x
Line C 4x -2y =3
Line D y = 3-2x

Answers

Answer:

Line A and Line C are parallel.

Step-by-step explanation:

Uh help i don`t get this (ez question) :D

Answers

Answer:

Dividend  divided by Divisor = Quotient

5 divided by 8 = 0.625

Step-by-step explanation:

Verifying the top Awnser that’s pretty much it ^^

Solve each inequality. p + 5 < 10 A. p < –15 B. p < 5 C. p < 15 D. p < –5

Answers

Answer:

B) p<5

Step-by-step explanation:

slove for x in terms of p,m, and g

m=g-px​

Answers

Answer:

- (m-g)/p =x

Step-by-step explanation:

subtract g

m-g=-p(x)

divide by -p

-(m-g)/p =x

Help needed ASAP will give brainliest and 5 STARS RATE

Answers

Answer:

The correct choice is D.

Use the distributive property to simplify the expression, then combine like terms -12 - 5p +2(6p+p)

Answers

Answer:

-12 + 9p

Step-by-step explanation:

Original Equation:

-12 - 5p + 2(6p + p)

Distributive property.

2 x 6p = 12p

2 x p = 2p

Equation:

-12 - 5p + 12p + 2p

Subtract 5p from 12p

-12 + 7p + 2p

Add.

-12 + 9p

Hope this helped :)

Please consider Brainliest :)

-4(3+7m) please help i will give brainlest and do not answer just to get points this is DUE IN FIVE MINUTES

Answers

Answer:

-28m-12

Step-by-step explanation:hope that helps :)

=(−4)(3+7m)

=(−4)(3)+(−4)(7m)

=−12−28m

=−28m−12

Answer:

-4(3+7m) = -28m - 12

Step-by-step explanation:

-4 (3 + 7m)

= -4 (3) + -4(7)

= -12 + (-28)

= -12 -28m

Subtract.

125−(−35)

Enter your answer, in the simplest form, in the box

Answers

Answer:

160

Step-by-step explanation:

The two subtraction symbols are going to cancel each other out and turn into addition symbols so the problem is 125 + 35

Answer:

-2 3/4

Step-by-step explanation:

In one year,a satellite orbiting the earth travels 9.6 *10^10 meters. Which of the following is the best way to rewrite this quantity ,using more appropriate units?

Answers

Answer:

9.6 x 10 7 km

Step-by-step explanation:

Identify the coefficient in each term

5. 4x^3

6. y^3

7. 2n^7

8. -s^4

Answers

Answer:

5. 4

6. 1

7. 2

8. -1

Step-by-step explanation:

Coefficient is usually the whole number in the beginning. I believe 5-7 are correct. I'm a little iffy about 8. Good luck!

Express 48 1/4 in simplest radical form.

Answers

Convert the mixed number to an improper fraction...

To take a root of a fraction, take the root of the numerator and denominator separately

Final answer should be around 6.94622

Find the slope of the line
A. 1/2
B. 2
C. -1/2
D. -2

Answers

Answer:

A. 1/2

Step-by-step explanation:

rise over run

up 1, to the right 2

please i need help asap. if u can help that’d be great

Answers

Answer:

The answer is B. (2x-3)

the answer to this question is b. 2x-3

please help due in 5 min

Answers

Answer:

True

Step-by-step explanation:

Value of the function increases as x increaes

PLEASE HELP I WILL GIVE YOU BRINLIST
Which table of values represents the equation Cost = Number of toppings x 2 + 3 *

Answers

The second one

Ex;
2(0)+3=3
2(1)+3=7

The wavelength of violet light is 4.0 x 10^−7 m. The wavelength of red light is 6.5 x 10^−7 m. How much longer is the wavelength of red than violet?
A 2.5 × 10^–7 m
B 1.05 × 10^–7 m
C 2.5 × 10^–6 m
D 1.05 × 10^–6 m

Answers

Answer:

A 2.5 × 10^–7 m

Step-by-step explanation:

Given

wavelength of violet light = 4.0 x 10^−7 m.

The wavelength of red light = 6.5 x 10^−7 m

To find the how much longer is wavelength of red light than violet light we have to find difference of wavelength of red and violet light

Difference in  wavelength of red light and violet light =

wavelength of red light -wavelength of violet light

                         = 6.5 x 10^−7 m - 4.0 x 10^−7 m

Difference in  wavelength of red light and violet light = (6.5 - 4.0)*10^−7 m

Difference in  wavelength of red light and violet light =2.5 x 10^−7 m

Thus,

wavelength of red light is 2.5 x 10^−7 m longer than wavelength of violet light

option A

Which equation represents the line that is parallel to y = 4 and passes through (-3,1)?

Answers

Answer:

y=1

Step-by-step explanation:

I NEED HELP NOWWWWW AHHHHHHHHH IM SO DUMB AND THANK YOU FOR HELPING ME

Answers

Answer:

9

Step-by-step explanation:

someone help me on my homework before i lose my sanity pls its my most recent question im done <3

Maria found the least common multiple of 6 and 15. Her work is shown below.

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, . . .
Multiples of 15: 15, 30, 45, 60, . . .

The least common multiple is 60.

What is Maria’s error?

Maria listed some values that were not multiples.
Maria listed factors of each number instead of multiples.
Maria should have multiplied 6 and 15 to find the least common multiple.
Maria selected a multiple that is not the least of the common multiples.

Answers

Answer:

I think its "Maria selected a multiple that is not the least of the common multiples"

Step-by-step explanation:

I think the real answer would be 30 because it the lowest number that they both share....

Answer: the answer is d, she selected a multiple that is not a least common multiple. The least common multiple is the number both sets of numbers share, which  would be 30.

what is 200 times 1238

Answers

Step-by-step explanation:

the answer is 247,600

hope this helps

Answer: the answer is 247,600

Step-by-step explanation:

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