the line ab has midpoint (-2, 4) a has coordinates (3, -2) find the coordinates of b

Answers

Answer 1

Answer:

b = (- 7, 10 )

Step-by-step explanation:

Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

let the coordinates of b = (x, y ) then use the formula and equate to the coordinates of the midpoint, that is

[tex]\frac{1}{2}[/tex] (x + 3) = - 2 ( multiply both sides by 2 )

x + 3 = - 4 ( subtract 3 from both sides )

x = - 7

[tex]\frac{1}{2}[/tex] (y - 2) = 4 ( multiply both sides by 2 )

y - 2 = 8 ( add 2 to both sides )

y = 10

Thus the coordinates of b are (- 7, 10 )


Related Questions

descomponer numeros decimales 56238 54100 10000 20000

Answers

Answer:

Acá tenemos numeros de 5 cifras.

los podemos componer como:

D-m-c-d-u (en orden)

D = decenas de millar

m = millar

c = centenas

d = decenas

u = unidades.

56238 es 5 decenas de millar, 6 millares, 2 centenas, 3 decenas y 8 unidades.

54100 es 5 decenas de millar, 4 millares, 1 centenas, 0 decenas y 0 unidades.

10000 es 1 decenas de millar, 0 millares, 0 centenas, 0 decenas y 0 unidades.

20000 es 2 decenas de millar, 0 millares, 0 centenas, 0 decenas y 0 unidades.

Answer:

These are your answers.56238 es 5 decenas de millar, 6 millares, 2 centenas, 3 decenas y 8 unidades.

54100 es 5 decenas de millar, 4 millares, 1 centenas, 0 decenas y 0 unidades.

10000 es 1 decenas de millar, 0 millares, 0 centenas, 0 decenas y 0 unidades.

20000 es 2 decenas de millar, 0 millares, 0 centenas, 0 decenas y 0 unidades.

Step-by-step explanation:Hope this helped

Help Idk what this is ASAP

Answers

Answer:

A

Step-by-step explanation:

Reflected across the x-axis => but then moved up 4 units

this makes it in a way "flipped"

We see a's coordinates = (-3, 3)

b's coordinates = (-1, 1)

c's coordinates = (-2, 3)

Hope this helps!

Answer:

Choice A

Step-by-step explanation:

Step 1 - reflection across x-axis, affects y-coordinate only

(x, y) ⇒ (x, -y)

Step 2- 4 units up, affects y-coordinate only

(x, -y) ⇒ (x, -y+4)

So for the given points we have:

A(-3, 1) ⇒ A'(-3, -1+4)= A' (-3, 3)B(-1, 3) ⇒ B'(-1, -3+4)= B' (-1, 1)C(-2, 1) ⇒ C'(-2, -1+4)= C' (-2, 3)

Choice A is correct

Does the table represent a function?(Only 2 hours to answer!)

Answers

Answer: (a) Yes. The table is a function.

Step-by-step explanation:

In order to be a function, there cannot be any duplicate x-values.

In the given table, each x-value is different so this IS a function.

Find the area and perimeter of the composite shape..

Answers

Area: 68

Perimeter: 50

How many units long is a line segment whose endpoints have coordinates (-3,7) and (2,-5)?

Answers

Answer:

D = 13 units

Step-by-step explanation:

Using Distance Formula to find the length.

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(2+3)^2+(-5-7)^2}[/tex]

D = [tex]\sqrt{(5)^2+(-12)^2}[/tex]

D = [tex]\sqrt{25+144}[/tex]

D = [tex]\sqrt{169}[/tex]

D = 13 units

Answer:

i think its 13

Step-by-step explanation:

i just plotted the points on a coordinate plane and counted it out its was around 12.8 so i rounded it and its was 13

What is the inverse of the function f(x) = 4x + 8?

Answers

Answer:

f^-1(x) = (x-8)/4

Step-by-step explanation:

To find an inverse function, simply flip the x and y variables in a equation and then solve in terms of y.

x = 4y + 8

x - 8 = 4y

y = (x-8)/4

And we have our final answer!

Find the range of values for which
x2–5x + 6 < 0​

Answers

here, we are required to find the range of values for which

The range of values for which x²–5x + 6 < 0

is at; x < 3

x2–5x + 6 < 0

By solving the expression quadratically; we have;

x² -3x -2x +6 < 0

By factorization;

(x - 2)(x - 3) < 0

Therefore;

x < 2 and x < 3.

The range of values for which x²–5x + 6 < 0

is at;

x < 3

Read more:

https://brainly.com/question/24434501

Lisa works 6 hours at $13.75 per hour. How much does she earn?

Answers

Answer:

$82.50

Step-by-step explanation:

Given that the unit rate is $13.75 per hour,

1 hour -----> $13.75

6 hours -----> $13.75 x 6 = $82.50

change 07 10 to 12 hour clock

Answers

Answer:

7.10a.m.

Step-by-step explanation:

Thats it , byeee

Answer:

7.10am

Step-by-step explanation:

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

Can some plss help me :/

Answers

The Y intercept is 2. x means it’s 1/1 Rise over run.

So your line starts at 2 and goes up in a straight line since x=1
The Y intercept is 2. X means it’s 1/1 rise over run

So your line starts at 2 and goes up in a straight line since x=1

Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 2. (Input decimals only, such as 12.71, as the answer.) will pick brainleiest!

Answers

Answer:

75.36

Step-by-step explanation:

3.14 (a2 + ab)

Substitute a = 4 and b = 2 into the equation:

3.14 (4^2 + 4*2)

= 3.14 (16 + 8)

= 3.14 (24)

= 75.36

Answer:

75.36

Step-by-step explanation:

=> (3.14)(a²+ab)

Putting a = 4, b = 2

=> [tex](3.14)[(4)^2+(4)(2)][/tex]

=> [tex](3.14)(16+8)[/tex]

=> [tex](3.14)(24)[/tex]

=> 75.36

Find the 10th term of the geometric sequence 1, 3, 9, .

Answers

Answer:

19683

Step-by-step explanation:

As the formula of the geometric sequence:

[tex]a_{n} =a_{1} *r^{n-1}[/tex]

In the sequence of 1, 3, 9..., you have a1 = 1 and r = 3. Therefore:

[tex]a_{10} =1 *3^{10-1} = 3^{9} =19683[/tex]

Hope this helps!

Which equation can be solved by using this system of equations?
ſy = 3x5 – 5x + 2x2 - 10x+4
= 4x4 + 6x2 - 11
O 3x5 -5x3 + 2x2 - 10x +4-0
O 3,5 - 5x3 + 2x2 - 10x+4-4x4 + 6x3 - 11
3x5 +4x4 + x + 2x2 - 10x-7=0
+ 6x3 - 11=0
C
4x4

Answers

Corrected Question

Which equation can be solved by using this system of equations?

[tex]y= 3x^5 - 5x^3 + 2x^2 - 10x+4$ and y= 4x^4 + 6x^3 - 11[/tex]

Options

[tex](A)3x^5 -5x^3 + 2x^2 - 10x +4=0\\(B)3x^5 - 5x^3 + 2x^2 - 10x+4-4x^4 + 6x^3 - 11=0\\(C)3x^5 +4x^4 + x + 2x^2 - 10x-7=0\\(D)3x^5 - 5x^3 + 2x^2 - 10x+4-4x^4 - 6x^3 + 11=0[/tex]

Answer:

(D) [tex]3x^5 - 5x^3 + 2x^2 - 10x+4-4x^4 - 6x^3 + 11=0[/tex]

Step-by-step explanation:

[tex]y= 3x^5 - 5x^3 + 2x^2 - 10x+4\\y= 4x^4 + 6x^3 - 11\\$Therefore:\\3x^5 - 5x^3 + 2x^2 - 10x+4=4x^4 + 6x^3 - 11\\$Bring the terms on the right to the left\\3x^5 - 5x^3 + 2x^2 - 10x+4-4x^4 - 6x^3 + 11=0[/tex]

To celebrate his soccer team's last game of the season, Grayson is making 4 batches of
chocolate chunk brownies. If Grayson's recipe calls for 500 grams of sugar per batch, how
many kilograms of sugar should he buy?

Answers

multiply 500 by 4 to know how much is needed in grams first

500×4 = 2000

convert 2000grams to kilograms

since 1000grams make 1 kilograms....then divide 2000 by 1000

which would give you 2000/1000

answer = 2kg of sugar

Answer:

The answer is 2

Step-by-step explanation:

Which set of numbers does not contain 70

Answers

Answer:

No . Natural numbers are a subset of whole number. Negative numbers are entire numbers but not natural. And any set that contains it. For example, the set {1, 2.3, 2.236067977} or {-79000, pi, 2.236067977, sin(47)} or all real numbers, etc

Step-by-step explanation:

Q1 Q2 – Harder brackets
Find an expression without brackets
for the area of each rectangle.
9
19
6
Q2
(x + 5)
0
13
area =
[2]
I

Answers

Answer : The area of given rectangle is p² - 7p

Step-by-step explanation :

Formula used to calculate the area of rectangle is:

Area of rectangle = length × breadth

Given:

Length = (p-7)

Breadth = p

Area of rectangle = length × breadth

Area of rectangle = (p-7) × p

Area of rectangle = p² - 7p

Therefore, the area of given rectangle is p² - 7p

Please help! What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5?
A.) Perimeter = 46 cm, area = 131.25 cm2
B.) Perimeter = 126 cm, area = 972 cm2
C.) Perimeter = 46 cm, area = 972 cm2
D.) Perimeter = 126 cm, area = 131.25 cm2

Answers

Answer:

B

Step-by-step explanation:

4.5 x 6 = 27

4.5 x 8 = 36

27 x 2 = 54

36 x 2 = 72

54 + 72 = 126cm Perimeter/

27 x 36 = 972 cm2 Area/

HELP ME ASAP.. MY TEACHER IS ASKING FOR THE ANSWER ​

Answers

Answer:

a) 10.7 cm

b) 11.6 cm

c) 29.9 cm²

Step-by-step explanation:

a) sin(α)/a = sin(β)/b

sin(∠BCD)/BD = sin(DBC)/DC

sin(41°)/BD = sin(55°)/13.4

BD = 13.4*sin(41°)/sin(55°) = 10.73 cm ≈ 10.7 cm

b) From ΔBCD , ∠BDC = 180-(41+55) = 84°

∠ABD and ∠BDC are alternate interior angles, so they are congruent, and

∠ABD = ∠BDC  = 84°

AD²= AB² + BD² - 2*AB*BD*cos (∠ABD) =

= 5.6² + 10.73² - 2*5.6*10.73*cos(84°) = 133.93 cm²

AD =√(133.93) ≈11.6 cm

c) Area(ADB) = (1/2)*AB*BD*sin(∠ABD)=(1/2)*5.6*10.73*sin(84°) ≈ 29.9 cm²

The graph shows that you are traveling at a constant rate. Three of the statements are true. Which is NOT? please help me in return i will help u anything Physics.

Answers

Answer:

speed = distance/time

distance = 60 miles

time = 1.5 h

speed = 60/1.5

= 40 miles per hour

so the answer in the pic is the correct answer

The equation of line is y = 40x and the unit rate of speed of travel is given by A = 40 mph

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 0 )

Let the second point be Q ( 1.5 , 60 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 60 / 1.5 )

Slope m = 40 miles per hour

So , the speed of the travel is 40 mph

And , the equation of line is y - y₁ = m ( x - x₁ )

y = 40x , where x is the number of hours

Hence , the speed of the travel is 40 miles per hour

To learn more about equation of line click :

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2) Calculate the distance between the two points, and round your answer
to the nearest tenth: (8,5).(-1,3)
Your answer​

Answers

Answer:

6.78 me too I have to work at the same place and time to go home and see you soon I have to go home to sleep now but I'm

A set of shirt prices are normally distributed with a mean of 45 dollars and a standard deviation of 5 dollars. What proportion of shirt prices are between 37 dollars and 59.35 dollars? You may round your answer to four decimal places.

Answers

Answer:

0.9432

Step-by-step explanation:

Given that

[tex]\\Mean (\mu)= 45[/tex]

[tex]Standard\;Deviation (\sigma)= 5[/tex]

Based on this, the proportion of the shirt price between the given range is

As we know that

For 37 dollars

[tex]z_{ score } = \frac{x-\mu}{\sigma}[/tex]

[tex]z = \frac{37.0-45.0}{5.0}[/tex]

[tex]z_1 = -1.6[/tex]

For 59.35 dollars

[tex]\\ z = \frac{59.35-45.0}{5.0} \\[/tex]

[tex]z_2 = 2.87[/tex]

This results into

= P(37.0 < x < 59.35)

= P(-1.6 < z < 2.87)

= P(Z < 2.87) - P(Z < -1.6)

So,

= P(37.0 < x < 59.35)

= 0.9979 - 0.0547

= 0.9432

Refer to Z score table

Find x. I need it ASAP

Answers

Answer:

x = 27°

Step-by-step explanation:

Because of the two parallel lines, we can conclude that

corner DAB = corner FDE = 2x

In ∆DAB

Corner DAB = 2x

Corner BDA = 2x (given)

Corner ABD = 72 (given)

The sum of three corners in any trianle, adds up to 180°.

So if one corner is 72° and the other two corners are the same, then the two corners together, must be 180-72 = 108°.

For each corner that is 108/2= 54

so corner BDA = 54° and also corner DAB = 54°.

Given was BDA = 2x and BDA = 54°

so 2x = 54°

then x = 27°

Dadas as sequências identifique quais são PA e a sua razão (r): Lembre-se: para ser uma PA a diferença entre dois termos consecutivos são sempre os mesmos e é chamada de razão (r). A) (1, 1, 1, 1, ...) B) (-1, 0, 1, 2,...) C) (12, 48, 84, 120,...) D) (101, 202, 303, 404,...)

Answers

Answer:

A) 0

B) 1

C) 36

D) 101

Question:

Given the strings, identify which PA are and their reason (r): Remember: to be a PA the difference between two consecutive terms is always the same and is called the (r) ratio. A) (1, 1, 1, 1, ...) B) (-1, 0, 1, 2, ...) C) (12, 48, 84, 120, ...) D) (101 , 202, 303, 404, ...)

Step-by-step explanation:

PA is said to be the difference between two consecutive terms. The PA is always the same for these terms. It is also called the (r) ratio.

A) (1, 1, 1, 1, ...)

PA = 2nd term - 1st term = 3rd term - 2nd term

Using the 1st and second term

1st term = 1

2nd term = 1

PA = 1-1

PA = 0

B) (-1, 0, 1, 2, ...)

PA = 2nd term - 1st term = 3rd term - 2nd term

Using the 1st and second term

1st term = -1

2nd term = 0

PA = 0- (-1) = 0+1

PA = 1

C) (12, 48, 84, 120, ...)

PA = 2nd term - 1st term = 3rd term - 2nd term

Using the 1st and second term

1st term = 12

2nd term = 48

PA = 48 - 12

PA = 36

D) (101 , 202, 303, 404, ...)

PA = 2nd term - 1st term = 3rd term - 2nd term

Using the 1st and second term

1st term = 101

2nd term = 202

PA = 202 -101

PA = 101

U.S. Population can be modeled by the function f(x)=165.6x^1.345, where f(x) is in thousand and x is the number of year after 1800. What is f(50) and what does it mean?

Answers

Answer:

f(50) = 31928.24 thousands

Therefore, it means that the US population in year 1850 is 31928.24 thousands

Step-by-step explanation:

Given the function;

f(x)=165.6x^1.345

Where;

f(x) is in thousand and

x is the number of year after 1800

To determine f(50), we will substitute x = 50 into the function of f(x);

f(50)=165.6(50)^1.345

f(50) = 31928.24 thousands

Since f(50) is the US population in year 1800+50 = 1850

Therefore, the US population in year 1850 is 31928.24 thousands

Ben has 400 counters in a bag. He gives 35 of the counters to Sonia 130 of the counters to Phil 75 of the counters to Lance What fraction of the 400 counters is left in Ben’s bag? Give your fraction in its simplest form. (With workings out)

Answers

Answer:

2/5

Step-by-step explanation:

subtract 130,35,and 74 from 400 you will have 160/400 left then you find the greatest common and divide! and get 2/5

Answer: 2/5

Step-by-step explanation:

Ben gives 35 to Sonia, 130 to Phill, 75 to Lance, in total he gives away 240 counters. the fraction of the counters left in his bag would be 400-240 which is 160 and so his fraction would be 160/400 and this in simplest form would be 8/20 if you divide by 20 and then to simplify that you can divide by 4 to get 2/5

Which of the following equations has the solution set {0}?





A.) -14m - 7m + 1 = -7m + 1


B.) -14m + 7m + 1 = -7m + 2


C.) 14m - 7m - 1 = -7m + 1

Answers

Answer:

Option A

Step-by-step explanation:

[tex]-14m-7m+1=-7m+1\\\\-14-7m+1-(-7m+1)=-7m+1-(-7m+1)\\\\-14m=0\\\\-14m/-14=0/-14\\\\\boxed{m=0}[/tex]

Answer:A

Step-by-step explanation:

-14m-7m+1=-7m+1

then

-14m-7m+7m=1-1

-14m=0

m=0

The prism is cut by a plane that is parallel to a base of the prism.
The intersection of the prism and the plane is a(*fill in the balnk*)
cross section.

Answers

Answer:

if it is a rectangular prism then it is a rectangle.

Step-by-step explanation:

Answer:

Rectangle

Step-by-step explanation:

How many two-digit primes have both their digits non-prime?


6 5 4 3 2

Answers

Answer:

11, 13, 17, 31, 37, 71, 73, 79, 97 are the two digit numbers which remain prime even on interchanging the digits.

Step-by-step explanation:

What is the product of the binomials (4a – 1) and (2b + 3)?

Answers

Answer:

8ab+12a-2b-3

Step-by-step explanation:

(4a–1)(2b+3)

Use the FOIL method:

First: 8ab

Outer: 12a

Inner: -2b

Last: -3

8ab+12a-2b-3

8a +12a-3b
Just put everything on the left side as always remember that dont forget so put all the A together then put all the b

please give answer please please please

Answers

Answer:

3/8

Step-by-step explanation:

for the number 1 on spinner a there are 4 possibilites.

same goes for 2,3 and 4. all in all, there is 32 posibilities total.

for number 1 on spinner a, there are 3 poss. for number 2, there are 2 poss.

in total there are 6 possibilities on spinner A and 6 on spinner B. 6 plus 6 is 12.

12/32=3/8

Answer:

Its 3/8

Step-by-step explanation:

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