the midpoint of line ab is m (-1,-1) if the coordinates of a are (3,-6) what are the coordinates of b​

Answers

Answer 1

The coordinates of point b ( x, y) are ( - 5, 4 ).

The midpoint of the line ab is m( -1, -1 ).

The coordinates of the endpoints of the line are a( 3, -6) and b( x, y).

Now, the midpoint of the line with two endpoints A(x, y) and B( c, d) is given as:

m = [ ( x + c) / 2 , ( y + d) / 2 ]

Therefore,

m = [ ( 3 + x) / 2, ( - 6 + y ) / 2 ]

( -1 , - 1) = [ (3 + x / 2 ), ( -6 + y / 2 ) ]

Therefore,

(3 + x) / 2 = - 1

3 + x = - 2

x = - 2 - 3

x = - 5

And;

-6 + y / 2 = - 1

- 6 + y = - 2

y = - 2 + 6

y = 4

Therefore, ( x, y) = ( - 5, 4).

Therefore, the coordinates of point b are ( - 5, 4 ).

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Related Questions

help me
In your own words explain the vision statement for vision 2030
list the four main goal of vision 2030

Answers

The goals of the vision statement for vision 2030 include:

a vibrant society, a thriving economy an ambitious nation.secure environment

What is vision 2030 about?

The creation of a climate that opens up business opportunities, broadens the economic base, and generates jobs for all Saudis is a primary objective of Vision 2030. By utilizing the country's special position and potential, luring the top talent, and boosting international investment, we will be able to accomplish this.

It should be noted that the vision is to bring about an economy that's prosperous. Therefore, goals of the vision statement for vision 2030 include:

a vibrant society,

a thriving economy

an ambitious nation.

secure environment

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please answer, posted picture

Answers

The required solution of the given system of equation is y=2-9x and y=x/2-1.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The is given system of equation

2-9x=x/2-1

According to given question we have

The equation is

2-9x=x/2-1

We have to split into different system of equation to find the solution of the problem we have

So,

y=2-9x

and

y=x/2-1

Therefore, the required solution of the given system of equation is y=2-9x and y=x/2-1.

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combine like terms 3x+x+2y

Answers

Answer:

If you are just combining like terms then the answer is just 4x + 2y

Hope this helps :)

Combining like terms would result in:

4x + 2y

3x and x are the only like terms.

O...
photo.
Write in standard notation.
1. 2.3 x 102
2. 4.67 x 107
3. 9.1 x 10-5
4. 1.2 x 10⁰
5. 5x10

Answers

The standard notation for the given terms is (1). 234.6; (2). 499.69; (3). 86; (4). 1.2; (5). 50.

What is standard notation?A standard notation is a set of rules for writing a given number, equation, or expression.To represent large or small numbers, a standard form of a number is used. In standard notation, exponents are used to represent such numbers.As a result, to represent very large or very small numbers in a concise manner, we use standard notation.Depending on the mathematical concept, the standard notation will differ.

Conversion of the different notation into standard notations is given below:

1. 2.3 x 102 = 234.6

2. 4.67 x 107 = 499.69

3. 9.1 x 10-5 = 86

4. 1.2 x 10⁰ = 1.2

5. 5x10 = 50

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Triangle JOY is transformed to produce triangle PEP.
Select all of the transformations that would guarantee triangles JOY and PEP are congruent.


(A) a dilation, then a translation
(B) a translation, then a reflection
(C) a reflection, then a rotation
(D) a reflection, then a dilation
(E) a rotation, then a translation

Answers

The transformations that would guarantee triangles JOY and PEP are congruent are

(B) a translation, then a reflection(C) a reflection, then a rotation(E) a rotation, then a translation

How to select all of the transformations that would guarantee triangles JOY and PEP are congruent?

The given parameters are:

Triangles JOY and PEP

From the question, we understand that:

The triangles are congruent after being transformed

The transformations that ensure congruency are rigid transformation

The rigid transformations are:

TranslationReflectionRotation

Using the above as a guide, we have the true options to be:

(B) a translation, then a reflection(C) a reflection, then a rotation(E) a rotation, then a translation

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The scale on a map is 1:500000
Two towns are 7cm apart on the map
Work out the actual distance between the towns. Give your answer in kilometres

Answers

Answer:

Step-by-step explanation:

1: 500,000 cm

500,000cm can also be written as 5000m or 5 km

So it becomes 1:5km

the 1 represents 1cm on the map so every centimeter in the map is 5 kilometers in real life

If we want to get what 7 cm would be in kilometers then we have to multiply both sides by 7.

So it would be 1 x 7 and 5x 7

it would end up being 7 : 35 km

The answer is: 35km

Henry and emma want to buy a total of 0.5 yds of fabric. the fabric costs $8.72 per yard. how much will each pay if they want to split the cost evenly? $1.09 $2.18 $2.36 $4.36

Answers

If Henry and Emma want to buy a total of 0.5 yds of fabric and the fabric costs $8.72 per yard then the amount each will pay if they want to split the cost evenly is equal to $2.18.

The amount Henry and Emma will have to pay if they want to split the cost can be calculated by using division.

First, we calculate the cost of 0.5 yards of fabric.

1 yard of fabric cost = $8.72

0.5 yards of fabric cost = x

Here x is the cost of 0.5 yards of fabric

8.72 × 0.5 = x

x = $4.36

As the cost of 0.5 yards of fabric is calculated to be $4.36, the amount each will pay if they want to split the cost evenly can be found by dividing the cost of 0.5 yards by 2.

cost of 0.5 yards of fabric / 2 = 4.36 / 2 = $2.18.

Hence each one of them will pay $2.18 if they want to split the cost evenly.

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I don't know what to do.. please help

Answers

Answer:

A and c

Step-by-step explanation:

Ann and Ben translate documents from German into English. A set of documents that would take Ann 10 days would take Ben 12 days. Ann starts to translate the documents. After 2 days Ann and Ben both work on translating the documents. How many more days will it take to complete the work? You must show your working. Answer: ​

Answers

Using the together rate, it will take more 3.45 days to complete the work.

What is the together rate?

The together rate is given by the sum of each separate rate.

For this problem, the rates are given as follows:

Ann: 1/10 = 0.1.Ben: 1/12 = 0.0833.Together: 1/x.

Hence the amount completed in 2 days is:

2 x (0.1 + 0.0833) = 0.3666.

The amount it would take them to complete 100% of the project working together is found by the together rate as follows:

[tex]\frac{1}{x} = \frac{1}{10} + \frac{1}{12}[/tex]

[tex]\frac{1}{x} = \frac{6 + 5}{60}[/tex]

x = 60/11

x = 5.45 days.

The time it would take to do the remaining 100 - 36.66 = 63.34% of the project is:

0.6334 x 5.45 = 3.45 days.

It will take more 3.45 days to complete the work.

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Use the diagram to answer the questions below

Answers

The measure of ∠B is 60°

The measure of ∠H is 135°

The length of AB is 2cm

From the question, we are to determine the measure of the angles and the length of line AB.

From the given information, we have that

Quad ABCD. is similar to Quad, EFGH

In the diagram,

Measure of ∠F = 60°

But, ∠B ≅ ∠F

∴ The measure of ∠B = 60°

Measure of ∠H

∠E + ∠F + ∠G + ∠H = 360° (Sum of angles in a quadrilateral)

From the diagram,

m ∠E = 90°

m ∠F = 60°

∠G ≅ ∠C

m ∠C = 75°

∴ m ∠G = 75°

Thus,

90° + 60° + 75° + ∠H = 360°

225° + ∠H = 360°

∠H = 360° - 225°

∠H = 135°

Hence, the measure of ∠H is 135°

Length of AB

The length of HE is twice the length of DA,

Thus,

The length of EF will be twice the length of AB

From the diagram,

EF = 4cm

∴ AB = 4/2 cm

AB = 2 cm

Hence, the length of AB is 2cm

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A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%. what is the total capacity of the pool in gallons?

Answers

The total capacity of pool in gallons is 1625.

Let us assume the water in the pool be x liters. Forming the equation according as per the statement in question -

x + 300 = 80% of total volume - Equation 1

Forming the equation according to second statement -

30% × x = 300

30/100 × x = 300 - Equation 2

Finding the initial volume of water using equation 2-

x = 300×100/30

Cancelling zero and performing division and multiplication to find the initial volume of water

x = 1000 gallons

Now finding the total volume or capacity of pool by keeping the value of x in first equation -

1000 + 300 = 80/100 × total volume

Total volume = 1300×100/80

Performing multiplication and division to find the total capacity of pool

Total capacity of pool = 1625 gallons

Hence, the total capacity of pool in gallons is 1625.

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Write each expression in simplest form. (x²/x⁻¹¹)¹/₃

Answers

The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is [tex]\sqrt[3]{}[/tex](x¹³)

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(x²/x⁻¹¹)¹/₃

Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:

(x⁽²⁻⁽⁻¹¹⁾)¹/₃

(x⁽²⁺¹¹⁾)¹/₃

(x¹³)¹/₃

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:

x⁽¹³*¹/₃⁾

x⁽¹³/₃⁾

As we have a fractional exponent, you must convert the exponent to root:

[tex]\sqrt[3]{}[/tex](x¹³)

What is an exponent?

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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can anyone help fast please

Answers

The rate at which Riya is applying mulch in m³/m² is 0.25m³/m²

From the question, we are to determine the rate at which Riya is applying mulch in m³/m²

From the given information, we have that

Riya is applying mulch to her garden at a rate of 250,000 cm³ of mulch for every m² of the garden space

That is,

The rate at which she is applying mulch is 250,000 cm³/m²

Now, to determine the rate in m³/m², we will convert 250,000 cm³ to m³

Converting 250,000 cm³ to m³

250,000 cm³  = 250000 × (10⁻²)³ m³

= 250000 × 10⁻⁶ m³

=  0.25 m³

Hence, the rate at which Riya is applying mulch in m³/m² is 0.25m³/m²

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(please help) a couple with 32 children want to save for college. They invest 50,000 in two different corporate bonds for 1 year One bond pays 5% simple interest while the other pays 6.5% simple interest. The total interest they received from the bonds was $3000. Find the amount they invested in each bond

Answers

The amount invested in the bond with 5% simple interest is $16,666.67

The amount invested in the bond with 6.5% simple interest is $33,333.33  

What is simple interest?

The interest earned under a simple interest arrangement is determined as the amount invested multiplied by the interest rate and the time the investment lasts

I=PRT

let us assume that x was invested in the bond with 5%

interest on x=5%*x=0.05x

amount invested in other bond=50000-x

interest earned on 6.5%=(50000-x)*6.5%

interest earned on 6.5%=3250-0.065x

total interest=0.05x+3250-0.065x

total interest=3250-0.015x

total interest=3000

3000=3250-0.015x

0.015x=3250-3000

0.015x=250

x=250/0.015

x=$16,666.67

amount invested at 6.5%=$50,000-$16,666.67

amount invested at 6.5%=$33,333.33

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I need to find the mean of -2, 20, -200, 2,000

Answers

Answer: 454.5

Step-by-step explanation:

-2, 20, -200, 2,000 ==> 4 numbers

Mean: (-2+20+(-200)+2000)/4=

(18-200+2000)/4=

(-182+2000)/4

1818/4=454.5

454.5 is going to be your correct answer


Let u = (-1,3), v=(2,4) , and w= ( 2,-5) . Find the component forms of the following vectors. 2u

Answers

Given u = (-1,3), v=(2,4) , and w= ( 2,-5), then, by applying scalar multiplication on vector, 2u = (–2, 6)

In the two-dimensional coordinate system, vectors can be split into x-component and y-component.

We can write, for example, a vector q = (1,–5), which means:

x-component = 1

y-component = –5

Operations on vectors:

Addition / subtraction of vectors: Just add or subtract the corresponding components.
For example: r = (1,–9) and t = (4,2)
Then,
r + t = (1,–9) +  (4,2) = (1+4, –9+2) = (5,–7)Scalar multiplication: Multiply each component by the given scalar.
For example: r =  (1,–9)
Then,
r = –5.(1,–9) = (-5 . 1, -5 . (–9)) = (-5, 45)

In the given problem:

u = (-1,3), v = ( 2,4) , and w = (2,-5)

Then,

2u =  2 (-1,3)

      = (2 . (-1), 2. 3) = (–2, 6)

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Which is an equivalent expression for this please

Answers

A. I think cause I thinking 6/21

Describe and correct the error in the solving the equation. X 6(2y + 6) = 4(9+3y) 2y +36 = 36 + 12y 12y = 12y 0=0 The equation has no solution.​

Answers

Answer:

The equation has infinitely many solutions.

Step-by-step explanation:

6(2y + 6) = 4(9+3y)

2y + 36 = 36 + 12y     ---->   should be 12y + 36 = 36 + 12y

12y = 12y correct

0 = 0  correct

The equation has no solution.   --->   should read "The equation has infinitely many solutions."​

13. Name the property of equality that justifies the following statement:
If l = m, then m = l.

a. Symmetric Property
b. Subtraction Property
c. Reflexive Property
d. Multiplication Property

Answers

should be a) symmetric property


If z=30 when x=3 and y=2 , write the function that models the relationship.
z varies inversely with the product of x and y .

Answers

The required function following the given conditions is z = 180 / (x × y).

What is a function?

A function is defined as an expression or rule that specifies the relationship between two variables or objects, out of which one is dependent and the other is an independent variable. The image of each and every element is unique.

Writing the function satisfying the given conditions

Given, x = 3, y = 2, z = 30

Let the function satisfying the given conditions be z = k / (x.y)         —--- 1

Putting all the values, we get,

k = 3 × 2 × 30

= 180

Using the value of k in equation 1, we have,

z = 180 / (x × y)

Hence, the required function is z = 180 / (x × y).

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Which Of the expressions below means same as w/5

Answers

The expression that means the same as the given expression is w ÷ 5

Evaluating an expression

From the question, we are to determine which of the given expressions means the same as w/5

To do this, we will simplify each of the given expressions if possible

w + 5

This expression cannot be simplified further

w -5

This expression cannot be simplified further

w ÷ 5

This expression can be written as w/5

5 × w

This expression can be written as 5w

5 - w

This expression cannot be simplified further

5 ÷ w

This expression can be written as 5/w

Hence, the expression is w ÷ 5

Here is the complete question:

Which Of the expressions below means same as w/5

w + 5

w - 5

w ÷ 5

5 × w

5 - w

5 ÷ w

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Suppose that a function pairs elements from set A with elements from set B . Recall that a function is called onto if every element in B is paired with at least one element in A .
c. For the domain, is the function onto the set of nonnegative real numbers? Explain.

Answers

If a function is onto, then its domain can be a set of all non negative real numbers if the function is defined as y = √ x.

It is not necessary that function that is onto should have the domain as non negative real numbers only.
It can also have negative real numbers in its domain.

If the function is of the form:

y = √ x

Then the function will have a domain that is non negative real numbers.

But if function is of the form:

y = x²

Then it can have the domain as all real numbers.

Therefore, we get that, if a function is onto, then its domain can be a set of all non negative real numbers if the function is defined as y = √ x.

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Write the function that models each variation. Find z when x=4 and y=9 . z varies inversely with the product of x and y . When x=2 and y=4, z=0.5 .

Answers

The value of z in the given inverse variation is,  z= 1 / 9

What is Inversely variation ?

The inverse variation property states that , whenever the product of values of two quantities is a constant value then there is opposite variation between these two corresponding values. Or we can also say that if the productive nature of two corresponding values is constant, then one quantity is inversely varies with second quantity.

In the question given,

first of all find the value of K in the model by putting in the values of x, y, and z so that to find the function model.

z = k / (x) (y)

0.5 = k / (2) (4)

k = 4

now write the function equation again by putting value of k,

⇒ z = 4 / (x) (y)

put x = 4 and y = 9 to find the value of z.

z = 4 / 36

z = 1 /9

Thus, z = 1/9

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8. Find y
7yº
(5y+36)

Answers

Answer:

35ºy^2+252yº

Step-by-step explanation:

The assignment for this lesson is to use properties of exponents to compare the growth in the populations of two organisms.

Answers

Answer:

The population of a species that grows exponentially over time can be modeled by P(t)=Pe^(kt), where P(t) is the population after time t, P is the original population when t=0, and k is the growth constant.

Step-by-step explanation:

this is from my science

i hope it helped!!!!!!

There are approximately 9.3 x 106 dairy cows in the United States, with each cow producing approximately 2.5 x 10 gallons
of milk each year. How much milk do United States dairy cows produce each year? Write the answer in scientific notation

Answers

2.4645×10⁴ gallons of milk do United States dairy cows produce each year.

Why we need scientific notation ?

We need scientific notation reason is large number can be written in compact form.

According to the given question There are approximately 9.3 x 106 dairy cows in the United States.

Which is 985.8 cows in the united states.

Also given each cow produces 2.5×10 = 25 gallons of milk per year.

∴ United state cows will produce (985.8×25) gallons of milk each year which is = 24645 gallons of milk per year.

Now 24645 can be represented as 2.4645×10⁴ gallons of milk.

We have raised it to the 4th power of 10 because we have moved the decimal 4 digits before to balance the number and we know that in scientific notation base should be greater than 1 and less than 4 so moving the decimal to some other place is not valid.

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Gwendolyn draws a hotdog on graph paper using the scale shown below. The hotdog has a length of 999 units in the drawingWhat is the length, , c, m, of the actual hotdog?

Answers

The length of the actual hotdog is 15 cm

How to determine the length of the actual hotdog?

The graph that completes the question is added as an attachment

The length of the hotdog in the figure is given as

Length = 9 units

The scale is given as

Scale: 6 units = 10 cm

So, we have

6 * 9 units = 10 * 9 cm

Divide both sides by 6

So, we have

9 units = 15 cm

Substitute 9 units = 15 cm in Length = 9 units

Length = 15 cm

Hence, the length of the actual hotdog is 15 cm

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Four different linear functions are represented below.
HELP!

Answers

Answer:

Step-by-step explanation:

A: Function 2 only; at the point where x = 0, the value of the function is 5, which is greater than 3.
B: Function 3; the coefficient of x is the greatest out of all of them.
C: Function 4; the y-intercept of -1 only deviates from 0 by 1.

a train can travel 50% faster than a car.both start from point A at the same time and reach point B 75kms away from A at the same time . on the way ,however, the train lost about 12.5 minutes while stopping at the stations . the speed of car is? a.100kmph b.110kmph c.120kmph d.130kmph

Answers

3931 +48 = 58.44 + 492.382= 583.43

what is the distance (2,-2) and (-3,-1) points

Answers

The distance between two points (2,-2) and (-3,-1) is √26 units.

Given points are (2,-2) and (-3,-1)

Let A(2,-2), B(-3,-1)

We need to calculate the distance between two points.

We know that distance between two points means the length of the line segment that connects two points in the 2D plane.

The formula for finding the distance between the two points A(x₁, y₁),

B(x₂, y₂) in a plane is given by

                                D = √((x₂ - x₁)² + (y₂ - y₁)²)

Now we have two points A(2,-2), B(-3,-1)

By using the above formula we get the distance as

D = √((-3 - 2)² + (-1 - (-2))²)

D = √((-5)² + (-1+2)²)

D = √(25 + (1)²

D = √(25+1)

D = √26 units

∴ The distance between two points (2,-2) and (-3,-1) is √26 units.

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