How do I find the distance between two points (algebra 2)

How Do I Find The Distance Between Two Points (algebra 2)

Answers

Answer 1

In order to calculate the distance between two points (x1, y1) and (x2, y2), we can use the formula below:

\(d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}\)

So, using the points (9, -1) and (9, 8), we have:

\(\begin{gathered} d=\sqrt[]{(8-(-1))^2+(9-9)^2} \\ d=\sqrt[]{(8+1)^2+0^2_{}} \\ d=\sqrt[]{9^2+0} \\ d=\sqrt[]{81} \\ d=9 \end{gathered}\)

Therefore the distance between the given points is 9 units.


Related Questions

What’s the correct answer for this?

Whats the correct answer for this?

Answers

Answer:

x = 19

Step-by-step explanation:

In the attached file

Whats the correct answer for this?


What is the area of the triangle?

What is the area of the triangle?

Answers

Answer:

15/2

Step-by-step explanation:

Hello,

the area of a triangle is b*h/2

we can set BC as the base because AC is harder to calculate.

Then we draw an imaginary height.

There's no way to really explain, but the height would be 5 here, since 3 - -2 = 5

The base is 3

3*5/2 = 15/2

Thanks,

lacampanella

c. 425 x 9,311 =
420
6 TD
10

Answers

Answer:

x=

​791435

​84

​​ ,

​791435

​12TD

​​  

Step-by-step explanation:

1 Simplify  425x\times 9311425x×9311  to  3957175x3957175x.

3957175x=420,6TD\times 103957175x=420,6TD×10

2 Simplify  6TD\times 106TD×10  to  60TD60TD.

3957175x=420,60TD3957175x=420,60TD

3 Break down the problem into these 2 equations.

3957175x=4203957175x=420

3957175x=60TD3957175x=60TD

4 Solve the 1st equation: 3957175x=4203957175x=420.

x=\frac{84}{791435}x=

​791435

​84

​​  

5 Solve the 2nd equation: 3957175x=60TD3957175x=60TD.

x=\frac{12TD}{791435}x=

​791435

​12TD

​​  

6 Collect all solutions.

x=\frac{84}{791435},\frac{12TD}{791435}x=

​791435

​84

​​ ,

​791435

​12TD

​​  

If I make 10$ for working 6 hours if I wanted to make 8$ how many hours do I have to work

Answers

Answer:

4.8 hours

Step-by-step explanation:

6=10$

divide by 10

0.6=1$

multiply by 8

4.8=8$

Answer:

4.8

Step-by-step explanation:

Well, if you work for 6 hours, and earn 10$, then, you are earning 10/6$ per hour. So, we can estanblish the equation:

10/6$ * x hours = 8$.

x = 4.8 hours.

15a > 75. Substitute 5 for a. PLEASE HELP

Answers

Answer:

its equal

Step-by-step explanation:

15 times 5 (a) is 75 soooo 75 is equal to 75 maybe

Find the mean, median, mode 1. 40, 38,29,34,37, 22, 15, 38 2. 26, 32, 12, 18, 11, 14, 21, 12,27 3. 3,3,4,7,5,7,6,7,8,8,8. 9,8, 10, 12, 9, 15, 15
NEED THE ANSWER ASAP
NONSENSE, REPORT
i will (brainliest) if it's correct!!!​

Find the mean, median, mode 1. 40, 38,29,34,37, 22, 15, 38 2. 26, 32, 12, 18, 11, 14, 21, 12,27 3. 3,3,4,7,5,7,6,7,8,8,8.

Answers

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

Let's find the mean, median, and mode for each set of numbers:

Set: 40, 38, 29, 34, 37, 22, 15, 38

Mean: To find the mean, we sum up all the numbers and divide by the total count:

Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125

Median: To find the median, we arrange the numbers in ascending order and find the middle value:

Arranged set: 15, 22, 29, 34, 37, 38, 38, 40

Median = (29 + 34) / 2 = 63 / 2 = 31.5

Mode: The mode is the number(s) that appear(s) most frequently in the set:

Mode = 38 (appears twice)

Set: 26, 32, 12, 18, 11, 14, 21, 12, 27

Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222

Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32

Median = 18

Mode: No mode (all numbers appear only once)

Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15

Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611

Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15

Median = 8

Mode: Mode = 8 (appears 4 times)

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

For more questions on Mean

https://brainly.com/question/1136789

#sPJ8

Simplify.
2x-4
²-8+12
O
O
O
-6
x+6
x-6
-
x-2
²-82+12

Answers

The simplified value of (2x - 4)² is 4x² - 16x + 16.

First, let us understand the algebraic identities;

Algebraic identities are equations in which the left hand side of the equation is identically equal to the right hand side of the equation.

Some of the identities are:

(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b², etc.

We are given (2x - 4)².

Use the identity (a - b)² = a² - 2ab + b² to expand to the given expression.

So, a = 2x and b = 4.

Put it into the identity, we will get;

Therefore,

(2x - 4)² = (2x)² - 2 * 2x * 4 + (4)² = 4x² - 16x + 16

Thus, the simplified value of (2x - 4)² is 4x² - 16x + 16.

To learn more about the algebraic identities visit:

https://brainly.com/question/16857438

#SPJ1

Without multiplying tell which is greater 4/5x45 or 2/3x45

Answers

Answer:

2/3 x 45 < 4/5 x 45

Step-by-step explanation:

Rearrange from smallest to largest:

2/3 x 45 < 4/5 x 45

I hope this helps!

shareholders. Calculate the amount of dividend r of dividend received by Bishwant. Curriculum Development Centre. Sanothimi. Bhaktanur 65 Vedanta Excel in Mathematics - Booeceived by Mrs. Rai. b) A Business Company sold 2,500 shares at Rs 1,200 per share. Bishwant bought 450 shares. If the company earned a net profit of Rs 39,00.000 in a year and it announced to distribute 18% dividend from the net profit to its shareholders, find the amount​

Answers

3900000×18% = 702000

702000÷2500 = 280.8 per share dividend

450×280.8 = 126360

2) WILL MAKE BRAINLIEST

write the slope-interception form of the equation of each line.

2) WILL MAKE BRAINLIEST write the slope-interception form of the equation of each line.

Answers

Answer:

1.)  y= 3

2.)  y = 3/4 x -3

Step-by-step explanation:

Given: Prove: Three lines AD, CF, and BE are intersecting each other at the midpoint O Complete the proof. It is given that and . By the , . Therefore, . By the , , and by the , . After application of the ,

Answers

Answer:Given: Three lines AD, CF, and BE intersect at point O such that and

To prove: O is the midpoint of all three lines, i.e., AO = BO = CO

Proof:

Since point O lies on line AD, we can write

(1) AO + OD = AD

Similarly, since O lies on line BE, we have

(2) BO + OE = BE

Also, since O lies on line CF, we have

(3) CO + OF = CF

From the given information, we have

(4) AD = BE

Substituting (4) in (1) and (2), we get

(5) AO + OD = BO + OE

Adding (3) to (5), we get

(6) AO + BO + CO + OD + OE + OF = AD + BE + CF

From the given information, we have

(7) CF = AD + BE

Substituting (7) in (6), we get

(8) AO + BO + CO + OD + OE + OF = 2AD + 2BE

Since we know that AD = BE, we can simplify (8) as

(9) AO + BO + CO + OD + OE + OF = 4AD

Dividing both sides of (9) by 4, we get

(10) AO + BO + CO = AD

But from (4), we also know that AD = BE, so we can write

(11) AO + BO + CO = BE

Dividing both sides of (11) by 2, we get

(12) AO = BO = CO

Hence, we have proved that O is the midpoint of all three lines, i.e., AO = BO = CO.

Step-by-step explanation:

samantha mixes some amount of 25% sugar syrup with x grams of 10% sugar syrup. the result is120 grams 15% sugar syrup. how many grams of 25% sugar syrup did samantha use?

Answers

Answer:

Final mixture is 120 gm

x = 10%      then   (120-x) = 25%

.25(120-x)    + .1 (x)    =  .15 (120)       solve for x= 10% amount

                                                                 then  25% amount = 120-x

Step-by-step explanation:

Suppose that the volume, V,
of a right circular cylinder is
1280 cubic centimeters and
the radius of its base is
8 centimeters. What is the
height of the cylinder?
0

Suppose that the volume, V,of a right circular cylinder is1280 cubic centimeters andthe radius of its

Answers

The height οf the cylinder is apprοximately 6.38 centimetres.

What is the name fοr a cylinder's height?

The cylinder's altitude is a perpendicular segment frοm the plane οf οne base tο the plane οf the οther, and the cylinder's height is the length οf the altitude. A cylinder's axis is the segment cοntaining the centres οf the twο bases.

The vοlume οf a right circular cylinder is calculated as fοllοws:

\(V = \pi r^2h\)

where V is the vοlume, r is the radius οf the base, and h is the cylinder's height.

Substituting the fοllοwing values:

\(1280 = \pi(8^2)h\)

Simplifying:

\(1280 = 64\pi h\)

By dividing bοth sides by 64, we get:

\(h = 1280/(64\pi)\)

Simplifying and rοunding tο the nearest twο decimal places:

h ≈ 6.38

As a result, the cylinder's height is apprοximately 6.38 centimetres.

To know more about cylinder's height visit:

brainly.com/question/20371974

#SPJ1

20. Took the quiz, and received a 100 percent.

I need help .........​

I need help .........

Answers

Answer:

option 4

Step-by-step explanation:

The question in other word is how to get 3

for the option one

h÷3

12/3

4.... not 3

for the option two

g÷1

4/1

4.....not 3

for the option three

h-g

12-4

8......not 3

for the option four

h/g

12/4

3.... it is the answer

hope it helps

for any question comment me ❤❤❤

FIND THE DISTANCE BETWEEN THE TWO POINTS
A(0, 0), B(6, 8)

Answers

Answer:

10

Step-by-step explanation:

Mathematical Formula: \(\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)

Therefore: \(\sqrt{\left(6-0\right)^2+\left(8-0\right)^2}\)

Which = 10

Multiply the product

(m+3)(m-3)

Answers

I think this is it…hope it helps
Multiply the product(m+3)(m-3)

Answer:

The answer to (m+3)(m-3) is m^2-9.

Step-by-step explanation:

We will use distributive law to solve this question.

m(m-3)+3(m-3)

= m^2-3m+3m-9

= m^2-9 (since, 3m-3m=0)

As an alternative method, we can use the direct rule learned in algebra: (a+b)(a-b)=a^2-b^2.

so, here a=m and b=3.

(m+3)(m-3)

=m^2-3^2

=m^2-9

What is the domain, range, and function? {(-3, 3), (1, 1), (0, -2), (1,4), (5, -1)}

Answers

The domain are all the inputs, that is; the x-values

Domain = { -3, 0, 1, 5}

The range are all the output, that is the y-values

Range = { 3, 1, -2, 4, -1}

This is just a relation and not a function, as we have more than 2 same value of x

please help and if you know how to give brainliest let me know i will give it to the person who answers

please help and if you know how to give brainliest let me know i will give it to the person who answers

Answers

Answer:

$945 is the correct answer. Hope this helps<3

Step-by-step explanation:

Answer: 795

Step-by-step explanation:

75 + (210 x 3) + (30 x 3) = 795

sin theta =20 degrees opposite=45 find hyp

Answers

By trigonometric functions, the length of the hypotenuse is approximately equal to 131.571.

How to calculate the hypotenuse of a right triangle by trigonometric functions

In this problem we find the measure of an angle and its opposite side from a right triangle, whose representation is shown in the image attached below.

Trigonometric functions are transcendent expression that relates an angle of the right triangle with two sides of the same. We can find the measure of the hypotenuse by the definition of the sine function:

sin θ = h / r

Where:

θ - Angle of the right triangle.h - Length of the side opposite to the angle.r - Length of the hypotenuse.

If we know that h = 45 and θ = 20°, then the length of the hypotenuse is:

r = h / sin θ

r = 45 / sin 20°

r ≈ 131.571

To learn more on trigonometric functions: https://brainly.com/question/14746686

#SPJ1

sin theta =20 degrees opposite=45 find hyp

A car is traveling at a rate of 30 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? Do not
round your answers.

Answers

The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.

What is the speed of the car in kilometers per hour and distance covered after 5 hours?

Speed is simply referred to as distance traveled per unit time.

It is expressed as;

Speed = Distance ÷ time.

Given that the car is traveling at a rate of 30 meters per second.

First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.

1 kilometer = 1000 meters

1 hour = 3600 seconds

Hence;

Speed = 30m/s = ( 30 × 3600/1000 )kmh

Speed = 108 kmh

Next, the distance covered in 5 hours will be:

Speed = Distance / time

Distance = speed × time

Distance = 108 kmh × 5 h

Distance = 540 km

Therefore, the disatnce covered is 540 kilometers.

Learn more about speed here: brainly.com/question/7359669

#SPJ1

The question is in the picture attached to this. Here are the answer choices somebody help quick please
a. (x,y)➡️(-x,-y)
b. (x,y)➡️(-x,y)
c. (x,y)➡️(x,-y)
d. (x,y)➡️(y,x)

The question is in the picture attached to this. Here are the answer choices somebody help quick pleasea.

Answers

Answer:

c

Step-by-step explanation:

Since the image was created by reflecting across the x-axis,

that means that the original triangle was in the fourth quadrant

the image however is in the first quadrant

the coordinates of something in the fourth quadrant is (x, -y)

the coordinates of something in the first quadrant is (x, y)

so the answer is "c" since (x, -(y)) = (x, -y)

A number cube is rolled. Event A is rolling an odd number, and event B is rolling a factor of 12. What is P(AU B)?

Answers

Answer:  1

Explanation:

A = set of odd numbers = {1,3,5}

B = set of factors of 12 = {1,2,3,4,6}

A U B = union of set A and set B

A U B = {1,3,5} union {1,2,3,4,6}

A U B = {1,3,5,       1,2,3,4,6}

A U B = {1,2,3,4,5,6}

The set union operation combines two sets into one bigger set. Duplicates are tossed out.

There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.

Therefore, the probability event  A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.

Side notes:

A U B can be read out as "event A or event B"; so P(A U B) is "the probability event A happens or B happens or both".A intersect B = {1,3} = values that are in both set A and set B at the same time. These are both odd and a factor of 12.

Each of the following functions f,g,h, and h represents the amount of money in a bank account in dollars as a function of time x, in years they are each written in form m(x)= a•b

Each of the following functions f,g,h, and h represents the amount of money in a bank account in dollars

Answers

Answer:

f(x)  :  exponential growth

g(x);  exponential growth

h(x):  exponential growth

j(x):   exponential decay

Step-by-step explanation:

In an exponential function such as
\(m(x) = a \cdot b^x\)

the factor that determines whether it is a growth or decay function depends entirely on the value of b since x cannot be negative

If b > 1, it is a growth function

If b < 1 then it is a decay function

If b = 1 neither growth or decay function values are constant

In this context
f(x) has b = 2 > 1 . Hence it is a growth function
g(x) has b = 3 > 1 hence growth function
h(x) has be = 3/2 > 1; hence growth function
j(x) has be = 0.5 < 1 hence decay function

Answer:

O f(x)  :  exponential growth

O g(x);  exponential growth

O h(x):  exponential growth

O j(x):   exponential decay

Step-by-step explanation: I used to do this before :)

50 points for 3 questions. solve and explain please.

50 points for 3 questions. solve and explain please.
50 points for 3 questions. solve and explain please.
50 points for 3 questions. solve and explain please.

Answers

(1) The value of x is determined as 16.8.

(2) The measure of length VX is calculated as 4.1.

(3) The measure of angle UWV is 69.5⁰.

What is the value of the missing lengths of the triangle?

The value of the missing lengths of the triangle is calculated by applying the following formula;

(1) For the two similar triangles, the value of x is calculated as follows;

20 / (28 - x) = 30 / x

20x = 30 (28 - x )

20x = 840 - 30x

20x + 30x = 840

50x = 840

x = 840 / 50

x = 16.8

(2) The measure of length VX is calculated by applying trig ratios.

tan 63 = 8 / VX

VX = 8 / tan 63

VX = 4.1

(3) The measure of angle UWV is calculated as follows;

angle T = 360 - (94 + 127) = 139

angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)

angle UWV = 69.5⁰

Learn more about trig ratios here: https://brainly.com/question/10417664

#SPJ1

8 Annexure A RESEARCH TOOL: CAMPAIGN(S) IN THE COMMUNITY Name of a campaign: Position of the interviewee(s) at the Centre: ** Respond to the following questions/statements by placing a tick (✓) where appropriate and also by filling in the spaces below. 1. Does the Campaign pursue it's aims? YES/NO Elaborate​

Answers

In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.

The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.

What is a questionnaire?

A questionnaire is a research tool   used to collect data by presenting a series of questions to respondents,typically in a written format.

Questionnaires are an important research tool as they allow researchers to gather   large amounts of data from a large number of participants in   a standardized and efficient manner.

They provide a structured approach to collecting information,allowing for easy analysis and comparison   of responses.

Questionnaires can be used in various   research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.

Learn more about Research Tool at:

https://brainly.com/question/28982692

#SPJ1

Instructions: Show that the conjecture is false by finding a counterexample. Change the value of n below in order to make it a counterexample. "Two supplementary angles are not congruent."

Answers

The counterexample for "Two supplementary angles are not congruent." is

angle 100° and angle 80° are supplementary angels

angle 90° and angle 90° are supplementary angels

The instances show supplementary angles that are not congruent

What is counter examples?

A specific situation that demonstrates that a statement is untrue is referred to as a counterexample.

Counterexamples provides instances that opposes the statement

In this case the two supplementary angles 100-and-80 and 90-and-90 are not congruent and hence a counterexample to the statement

Learn more about counterexample here;

https://brainly.com/question/24881803

#SPJ1

The length of a rectangle is 5 cm more than the width. The area is 84 cm^2. Find the dimensions of therectangle.

Answers

Given data:

The expression for the length of the rectanngle is L=B+5.

The given area of the rrectangle is A=84 cm^2.

The expression for the area of the rectangle is,

A=LxB

Substitute the given values in the above expression.

84=(B+5)(B)

B^(2)+5B-84=0

B^(2)+12B-7B-84=0

B(B+12)-7(B+12)=0

(B+12)(B-7)=0

B=7 cm

The lenght of the rectangle is,

L=7CM+5cm

=12 cm.

Thus, the lenght of the rectangle is 12 cm, and width of rectangle is

Which table of ordered pairs represents a proportional relationship?
Whoever answers correctly and first-will be marked brainiest :)

Which table of ordered pairs represents a proportional relationship? Whoever answers correctly and first-will

Answers

I’m pretty sure it’s the 2nd chart because y=kx so 10=5x2 & 20=10x2

The surface area of this cylinder is 20,761.68 square yards. What is the height?
Use ≈ 3.14 and round your answer to the nearest hundredth.
29 yd
h=
Submit
h
yards

Answers

The height of the cylinder whose surface area is given would be = 85 yards.

How to calculate the height of a cylinder?

The cylinder is a type of shape that has three sides which consists of two opposite circles that are joined by a curved surface.

To calculate the height of a cylinder, the formula that should be used is given as follows:

Surface area of cylinder = 2πrh + 2πr²

radius = 29 yards

surface area = 20,761.68 square yards

height = ?

That is ;

20,761.68 = 2×3.14× 29×h + 2×3.14× 29×29

20,761.68 =182.12h + 5281.48

182.12h = 20,761.68-5281.48

182.12h = 15480.2

h = 15480.2/182.12

= 85 yards

Learn more about area here:

https://brainly.com/question/28470545

#SPJ1

how to I write an equation for this problem

Answers

Step-by-step explanation:

what problem? its not there

Other Questions
How did the outcome for the Seminole differ from that of other Native Americans? what operation should be used to solve x/3 = 15 An electrochemical cell based on the decomposition of H2O2, can be constructed based on the half-reactions in the table below. Half-Reaction Standard Reduction Potential, E H2O2 + 2e- 2OH- 02 + 2H2O + 2e-H2O2 + 20H' 0.88 V -0.15 V Calculate the value of the standard cell potential, E, for the cell. Indicate whether 0 for the decomposition reaction is greater than 0, less than 0, or equal to 0, Justify characteristics of the supply to stock/bulk (sts) environment include amanda, a high school student, wants to be the president of a company someday, but she also wants to raise a family and enjoy recreational activities. amanda is primarily focusing on Select all that apply.How did the people support the church?(A)They paid taxes.(B)They gave money to the nobles.(C)They gave gifts to the church. What are some threats to biodiversity in the southem Appalachian forests? A logging B farming or other land developments C invasive species D pollution E illegal hunting or collecting F all of these G none of these Colorblindness is an X-linked recessive disorder. If Abby has normal vision (but her father was colorblind) and Ryan is not colorblind. What are the chances that their daughter is colorblind? SHOW ALL WORK FOR CREDIT. (To insert a table in your answer if necessary click on the three dots, click on the icon that looks like a table and you can customize the number and type of boxes you need) A historical turning point is a significant event in history that has led to lasting change.Identify a turning point in world history. Discuss the historical events surrounding this event and explain how the turning point changed the course of history. )WILL BE MARKED BRAINLIEST!!! Where do you stand on eating meat is it a healthy option for you? Why or why not?Please be specific and provide examples and thorough detail. Answers should be a minimum of 4-5 complete sentences A plane flying at a steady speed of 100 m/s accelerates to 150 m/s in 10 seconds. What is the planes acceleration? Give the equation of the horizontal line through the point (3,5) place the compass at one pole of the bar magnet click flip polarity in the menu what happens to the bar magnet and the compass needle Wednesday of this week, in at least.75-words, respond to the following in a post to this discussion: - If you were to start a business and had the choice of fimited partnership, limited liability company, or limited liability partnership, which option would you choose and whir? What will be the nominal rate of return on a perpetual preferred stock with a $100 par value, a stated dividend of 12% of par, and a current market price of (a) $56, (b) $80, (c) $106, and (d) $1307 Round your answers to two decimal places Which describes the approaches taken by civil rights activists to improve economic opportunities and to achieve political rights for African Americans in the early 1960s?o avoiding any radical political actionO marches, sit-ins, freedom rides and litigationacts of revolutionary violence, strikes and assassinationso the practice of reverse discrimination against whites If p-1 is a factor of pf + p + p-k, the value of k is 6 in the sixth, seventh, eighth, and ninth basketball games of the season, a player scored 23, 14, 11, and 20 points, respectively. her pointsper-game average was higher after nine games than it was after the first five games. her average after ten games was greater than 18. what is the least number of points she could have scored in the tenth game? According to the path-goal theory, a leader who is friendly and shows concern for the needs of subordinates is termed ________.A) directiveB) achievement orientedC) participativeD) supportive Sundip and Emma have some money. The ratio of Sundip's money to Emma's money is 3:5. Emma spends 450 of her money. The ratio of Sundip's money to Emma's money is now 2:3.Find how much money Sundip has.(could you please show your working out)