What are the coordinates of the point on the directed line segment from ( − 4 , 10 ) (−4,10) to ( 2 , − 10 ) (2,−10) that partitions the segment into a ratio of 1 to 3

Answers

Answer 1

Answer:

[tex]Z=(-2.5,5)[/tex]

Step-by-step explanation:

From the question we are told that

Point [tex]a=(-4,10)[/tex]

Point [tex]b= (2,-10)[/tex]

Ratio [tex]r=1:3[/tex]

Generally the section formula is mathematically given as

[tex]x=\frac{m_1x_2+m_2x_1}{m_1+m_2}[/tex]

[tex]y=\frac{m_1y_2+m_2y_1}{m_1+m_2}[/tex]

Generally the point P(x,y) is mathematically given as

[tex]x=\frac{1(2)+3(-4)}{1+3}[/tex]

[tex]x=-2.5[/tex]

[tex]y=\frac{(1)(-10)+(3)(10)}{1+3}[/tex]

[tex]y=5[/tex]

Required Co-ordinates Z is

[tex]Z=(-2.5,5)[/tex]


Related Questions

Can someone please help me with b c and d?

Answers

Answer:

DO NOT CARE

Step-by-step explanation:

convert 5/11 to a decimal using long division ​

Answers

Answer:

the answer is 0.45

Step-by-step explanation:

everything is above

Answers

Answer:

at week 5 the higth is 6.5

Step-by-step explanation:

Which table represents only values described by the relationship between a and b?
a =b+8.6
i give brainlest

Answers

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:


Which pairs of equations are parallel?
a) y = 3x + 4 and y = 3x+1
b) y =- 3x + 4 and y = 3x + 1
c) y=x-1 and y = x+1
d) y = 2x + 3 and y = 2x + 1

Answers

Answer:

x by 1 times 15 to the third power

Step-by-step explanation:

pls help w this math question

Answers

Answer:

y≥-10

Step-by-step explanation:

First step when you are give numbers, make a formula:

y+9≥-1

The next step is simply to subtract 9 from both sides to isolate the variable.

y≥-10

i hope this helps u!

pls five thanks and brainliest ;)

Arrange the values in order from least to greatest.
34%
.23
18/25

Answers

Answer:

.23, 34%, 18/25

Step-by-step explanation:

34% = 0.34 (2)

.23 = 0.23 (1)

18/25 = 0.72 (3)

what is the missing variable

Answers

4x-7=7x-61
3x=54
54/3
Answer - 18

Answer: x= 18

Step-by-step explanation: these are corresponding angles which means they are equal.

(4x-7) = (7x-61)

-7 = 3x -61

54 = 3x

18 = x

If there were 40 pieces of fruit, how many apples would there be? How many pears would there be?

Please help ❤️❤️❤️❤️☺️☺️☺️☺️☺️☺️

Answers

Answer:

Technically, however many you wanted (up to 40)

20 apples, 20 pears.

10 apples, 30 pears.

39 apples, 1 pear.

Step-by-step explanation:

N/A.

You open a savings account with a beginning balance of $600. You plan on depositing $50 every month until you have enough money to purchase a car which costs $2500. However, your parents remind you that it's probably not a good idea to empty your entire savings account so they recommend leaving a balance of $500 in your account. How many months will it take you to have enough money saved to purchase the car AND still have a $500 balance? Set up an equation and solve. ​

Answers

Answer:

48 months

Step-by-step explanation:

first take how much you need and add how much you want to leave, so 2500+500=3000. Then delete 600 from 3000, which will give you $2400. divide $2400 by 50 which gives you 48. it will take 48 months to get enough money to purchase a car at $2500 and leave $500 in the account.

plz help me thx u
if u have a question abt the question just ask me in the comments

Answers

The Answer is Andromeda

1+4-6,2-7+6,4-8+2,6-3-7 highest to lowest

Answers

Answer:

-1 , 1 , -2 , - 4

in order its

1, -1 , -2 , -4

Step-by-step explanation:

The Green family went to dinner and the bill was $67.45. Mr. Green wanted to leave an 18% tip
for the waiter. How much is the total bill?

Answers

.18 x 67.45 = 12.14 so 67.45 + 12.14 = 79.59

Solve the inequality by stating the solution and graphing it.
3 – 5x < -4x + 9

Answers

Answer:

x>-6

graphing (-6,0)

Step-by-step explanation:

3-5x<-4x+9-- Add 5x to -4x

3<x+9--- subtract 9 from both sides

-6<x

PSLS S S S S S S S s s s. Ss s s s s

Answers

Answer:

80

Step-by-step explanation:

5x2x8=80

Answer:

volume= 8*2*5

=80cube

"-5 increased by one-half of a number is a
maximum of 3."

Answers

This is True this statement so it’s true it would be -5 inclrease by 3

We can write the given statement as expression -

- 5 + (1/2)x = 3

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the statement -

"-5 increased by one-half of a number is a maximum of 3"

We can write it as an expression -

- 5 + (1/2)x = 3

Therefore, we can write the given statement as expression -

- 5 + (1/2)x = 3

To solve more questions on expression evaluation, visit the link below -

brainly.com/question/1041084

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A wedding dress was marked up 35% and is now selling for $270.00. What was the original price of the dress?

Answers

Answer:

365.50 dollars

Step-by-step explanation:

multiply 270 by 35% then add that to 270

Lillian has $80 in a savings account. The interest rate is 10%, compounded annually.

To the nearest cent, how much interest will she earn in 2 years?

Answers

She will have 96.8 dollars in the saving account so she earned 16.8 dollars in interest
If this answered help you then please consider marking it as brainliest to help me level up to expert

Need help will give thanks and brainliest

Answers

Answer:

[tex]y=\frac{2}{3} x-1[/tex]

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line intercepts the y-axis)

1) Find the slope of the line (m)

The equation for slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (3,1) and (6,3)

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]=\frac{3-1}{6-3}\\=\frac{2}{3}[/tex]

Now, plugging this back into [tex]y=mx+b[/tex], our equation looks like this:

[tex]y=\frac{2}{3} x+b[/tex]

2) Find the y-intercept of the line

To find the y-intercept, we take the equation that we have so far and plug in any given point to solve for b. For example, we can use the point (3,1):

[tex]1=\frac{2}{3}*3+b\\1=2+b[/tex]

Subtract both sides by 2 to isolate b

[tex]1-2=2+b-2\\-1=b[/tex]

3) Plug m and b into y=mx+b

[tex]y=\frac{2}{3} x-1[/tex]

I hope this helps!

A number is at maximum 20

Answers

Answer:

19

Step-by-step explanation:

PLEASE HELP DUE IN 10 MINUTES!!!!!!!!!!​

Answers

7.) yes 8.) no 9.) yes 10.) yes 11.) yes 12.) no 13.) no 14.) no 15.) yes I think

Max completed 140 questions on DFM last week.
This week, Max completed 182 questions.
Find the percentage increase.

Answers

Answer:

30%

Step-by-step explanation:

182-140=42(increase)

increase ÷ original × 100 %

= 42÷140×100%

=30%

The percentage increase from the old number to new number is 30 percent.

Given that, Max completed 140 questions on DFM last week. This week, Max completed 182 questions.

We know that, percentage increase = (New Number - Original Number)/Original Number ×100

= (182-140)/140 ×100

= 42/140 ×100

= 4200/140

= 30%

Therefore, the percentage increase is 30 percent.

To learn more about the percentage visit:

brainly.com/question/24159063.

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Tiffany took out a total of $10,000 in subsidized Stafford loans for her four-year college education. How much interest that accrued during her four years of college will she have to repay assuming a market rate of 6 percent?

Answers

Answer:

$2,400

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 10000 × 0.06 × 4 = 2400

I = $ 2,400.00

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 6% per year

for 4 years is $ 2,400.00.

Sam deposited $400 into her savings account that earned 4.5% interest per year. How much money did she have after 2.5 years?

Answers

Answer:

$445

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.5%/100 = 0.045 per year,

then, solving our equation

I = 400 × 0.045 × 2.5 = 45

I = $ 45.00

The simple interest accumulated

on a principal of $ 400.00

at a rate of 4.5% per year

for 2.5 years is $ 45.00.

solve for x and y

-4x + 9y = 9

x - 3y = -6

Answers

Answer:

Solve for x:

[tex]x = \frac{9(y - 1)}{4} [/tex]

Solve for y:

[tex]y = \frac{4x}{9} + 1[/tex]

387.4 rounded to the nearest tenth

Answers

Answer:

387.4 is the answer

Step-by-step explanation:

hope this helps=)

Answer:

387.4 rounded to the nearest tenth is 387 because if it's 4 and below you'll get the ones place the same. And if it's 5 and over, the ones place will go up...

Write 3435.332 out using words
(Pic for friends)

Answers

three thousand four hundred thirty-four and three hundred thirty-two thousandths

Simply (square root) 36x^3

Answers

I dont get your question please give me a picture of it

Nimer was driving to a hotel. He looked at his sat nav at 13:30 and saw the following distance to destination = 65miles nimer arrived at the hotel at 14:48 work out the average speed of the car in mph, from 13:30 to 14:48

Answers

Answer:Average speed =50 miles per hour or 50mph

Step-by-step explanation:

We know that  Speed is given as= Distance/ Time

Nimer's  distance to his destination = 65 miles

Time taken to his destination = 13:30 to  14:48

which is = 14:48--13:30 = 1:18 mins

Converting  1hr 18mins  to hours = 1 hour + 18/ 60 = 1 + 0.3 = 1.3 hours

Average speed =Distance/ Time

Average speed = 65miles/ 1.3hr = 50 miles per hour

Oliver buys 4 pineapples. Each pineapple is
$2 off the original price. He pays $4. What is
the original price of a pineapple?

Answers

Answer:

hello

Step-by-step explanation:

The original price i 1 dollar
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