What are the coordinates of the point on the directed line segment from (3, -3) to
(7,5) that partitions the segment into a ratio of 5 to 3?

Answers

Answer 1

Answer:

(5.5, 2)

Step-by-step explanation:

Points given:

(3, -3) and  (7,5)

Partition ratio:

5 to 3

Formula for the point:

x = x1 + a/(a+b)×(x2 - x1) y = y1 + a/(a +b)×(y2 - y1)

So the points are:

x = 3 + 5/(5+3)×(7-3) = 3 + 5/8×4 = 5.5y = -3 + 5/8×(5 - (-3)) = -3 + 5/8×8= 2
Answer 2

Answer:

(5.5,2)

Step-by-step explanation:


Related Questions

A tela de um celular é um retângulo de 5,2 cm de largura por 8,6 cm de comprimento. Calcule a área da tela desse celular, em m². Dica: 1m² = 10000 cm²

Answers

Responda:

0,004816 m²

Explicação passo a passo:

Dado que :

Dimensão da tela retangular do celular = 5,6 cm por 8,6 cm

A área de um retângulo = comprimento * largura

Área da tela do celular = 5,6 cm * 8,6 cm = 48,16 cm²

A área em m²:

1m² = 10000cm²

Conseqüentemente,

(48,16 / 10.000) m²

= 0,004816 m²

Emily makes $24 per hour. She worked 80 hours of regular time for the last pay
period and 5 hours of overtime at $36 per hour.
a. What was her gross pay?
b. How much money in deductions was taken off her cheque if her net pay was
$1719.50?
C. What percent was taken off as deductions? (to one decimal place)

Answers

Answer:

A. The gross pay is $2100 (24×80)+(5×36)

B. 2100-1719.50 = $380.5

C. (1719.50/2100) × 100 = 81.9%

  Can someone pleaseeee help if you’re correct I’ll give u brainlist

Answers

Answer:

Just about 3.6

Step-by-step explanation:

a² + b² = c²

√(a² + b²) = c

√(2² + 3²) = c

√(4 + 9) = c

√(13) = c

3.605551275 = c

c ≈ 3.6

Answer:

p = 3 as angle C and angle D are equal which means they are isoceles triangle and their base sides are equal i.e DB=CB so p. = 3

through: (-3,-5), parallel to y = 2x + 2​

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

Since you have an equation and a point, all you need to do is substitute the coordinates into the equation and then solve for the y-intercept (or "b"):

y = mx + b

y = 2x + 2

(-3, -5)

-5 = 2(-3) + b

-5 = -6 + b

-5 + 6 = b

b = 1

Now you have your final equation:

y = 2x + 1

*Remember that parallel lines have the same slope, so finding a new slope is not needed!

Writing in Slope-Intercept Form, 4 Ways (3, 2) & (-3, -4)
help plz:)

Answers

Answer:

[tex]let \: slope \: be \: s \\ s = \frac{( {y}^{1} - {y}^{o} ) }{( {x}^{1} - {x}^{o} ) } \\ s = \frac{( - 4 - 2)}{( - 3 - 3)} \\ s = \frac{ - 6}{ - 6} \\ s = 1[/tex]

Which of the following expressions are equivalent to -44 + 40

Answers

Option B is the correct answer.

2(-22+20)

=> -44+40

Hope it helps!

Answer:

Both of them are correct....

The equation `2x - 3 = 4x + 3` is modeled above. What value of `x` makes the equation true?

Answers

X=-3
2x=4x+6
-2x=6
Divide by -2
X=-3

WILL GIVE BRAINLIEST: What are three ordered pairs that create a relation with a domain of {−2, 1, 4}

Answers

yeap praise god

Step-by-step explanation:

BLACK LIVES MSTTER

Answer:

(-2,1)( 1,4 ) (-2,4)

Step-by-step explanation:

Qustion 21
Ranjan walks a distance of 5 km towards East,
then turns to his right and walks for 4 km. He
then turns left and walks for 4 km. At this
point he turns to his right and walks for 2 km.
He turns right and walks 1 km. How many
kilometers is he from the starting point?
A 10 km

Answers

Answer:

8km

Step-by-step explanation:

Going by the sketch attached in the picture, the distance between starting point and present position is 8 km.

The sketch is crucial to determine the answer to the question, Hence, kindly check the picture attached for reasoning being the choice of result.

Divya wants to rent a car to drive for the weekend. The rental company has a special that allows her to rent it for $200 for the weekend, plus $0.07 per mile. Divya only has $230. Write an inequality, solve, and determine her limitations when renting.

Answers

Answer:

[tex]200 + 0.07m \leq 230[/tex]

A maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.

Step-by-step explanation:

Given that:

Rent to be paid for the car in the weekend = $200

Charges to be paid per mile = $0.07

Total money available  with Divya = $230

To find:

The inequality as per her limitations and solution to the problem.

Solution:

Let the number of miles for which Divya can drive = [tex]m[/tex] miles

Charges for one mile = $0.07

Charges for [tex]m[/tex] miles = $0.07[tex]m[/tex]

Total charges for renting and [tex]m[/tex] miles = Rental charges + Operational charges

Total charges for renting and [tex]m[/tex] miles = $200 + $0.07[tex]m[/tex]

These are charges must be lesser than equal to the amount of money available with Divya.

Therefore, we can write:

[tex]200 + 0.07m \leq 230[/tex]

Subtracting 200 from both the sides:

[tex]0.07m \leq 30[/tex]

Dividing both sides with 0.07:

[tex]m \leq \dfrac{30}{0.07}\\m\leq 428.6[/tex]

Therefore, a maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.

Jolene and Samantha begin a trip from the same place at the same time. If Jolene's speed is 40 mph and
Samantha's speed is 50 mph, how many hours will it take for Samantha to get 25 miles ahead

Answers

Answer:

Step-by-step explanation:

Jolene speed =40 mph

Samantha speed=50mph

let x be the time Samantha needs to be ahead of Jolene

40x+25=50x

25=50x-40x

25=10x

x=2.5 hours

0.75x - y = - 2.1
0.6y 2.4x +9

Answers

Answer:

4x-3

Step-by-step explanation:

Yea

Find the equation in slope intercept form
(-8,-2) and (-4,6

Answers

Answer:

y = 2x + 14

Step-by-step explanation:

Answer:

y = 2x + 14

Step-by-step explanation:

Use the slope equation:

[tex]m = \frac{y2-y1}{x2-x1}[/tex]

[tex]m = \frac{6-(-2)}{-4-(-8)}\\m = \frac{8}{4}\\m = 2[/tex]

Next, find the y-intercept by subbing in one of the points and the slope into what you have so far in the equation:

(-8, -2)

y = mx + b

-2 = 2(-8) + b

-2 = -16 + b

-2 + 16 = b

b = 14

Now you have your final equation:

y = 2x + 14

Julie’s Great Dane weighs 45 kg and Anne’s cat weighs 7 kg. How much bigger, as a percentage, is Julie’s dog?

Answers

Answer:

0.3%

Step-by-step explanation:

45kg-15kg=30kg

Percentage: 30kg = 0.3%

so 0.3%

hope it helps!

Which facts could be applied to simplify this expression? Select three options.

(Negative 5 x minus 3 y) minus (negative x minus 3 z)
To subtract like terms, subtract the coefficients, not the variables.
Like terms are terms that contain the same variable, raised to the same power.
The simplified expression is Negative 6 x minus 3 y + 3 z.
The simplified expression is Negative 4 x minus 3 y + 3 z.
Negative (negative x) is equivalent to Negative x, so Negative 5 x minus x = negative 6 x

Answers

Answer:

Negative 4 x minus 3 y + 3 z.

Step-by-step explanation:

We need to simplify the given expression : (-5x-3y)-(-x-3z)

Here, x,y and z are variables.

Combining like terms, we get :

(-5x-3y)-(-x-3z) = (-5x-3y)+x+3z

= (-5x+x)-3y+3z

= -4x-3y+3z

Hence, the equivalent expression is -4x-3y+3z. Hence, the correct option is (b) "The simplified expression is Negative 4 x minus 3 y + 3 z".

Answer:

a,b,d

Step-by-step explanation:

pls help i have to find the mistake they made when he solved the equation
2(x + 3) = 6
2x + 3 = 6
- 3 - 3
2x = 3
+2 +2
x = 1.5

Answers

Answer:

Mistake is 2x + 3 = 6. It should be 2x + 6 = 6. Therefore x = 0

Step-by-step explanation:

2(x + 3) = 6

Expand the bracket:

2x + 6 = 6

Subtract 6 from both sides:

2x = 0

Divide both sides by 2

x = 0

Which value is NOT a solution of the inequality -2x + 5<7?

-3

5

7

1

HELP PLEASE

Answers

Answer:1

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

-2*x+5-(7)<0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1 Pull out like factors :

-2x - 2 = -2 • (x + 1)

Equation at the end of step

1

:

STEP

2

:

2.1 Divide both sides by -2

Remember to flip the inequality sign:

Solve Basic Inequality :

2.2 Subtract 1 from both sides

x > -1

Inequality Plot :

2.3 Inequality plot for

-2.000 X - 2.000 > 0

One solution was found :

x > -1

Answer:

its 1, i think...

Step-by-step explanation:

If they are asking which one would equal to -2x+5<7 just combine like terms by moving the 5 to the 7 and get 7-5=2. So -2x=2, then 2/-2 is -1. Basically the answer is x=-1. But it seems like thats not a choice...

Rewrite the following expression using one or more properties of logarithms and evaluate? Plz help :)

Answers

Answer:

[tex]log( \frac{1}{ {10}^{ - 5} } ) = log( {10}^{5} ) = 5 log(10) = 5[/tex]

5 is the right answer.

The amount of Interest a store charges a customer for buying on the installment plan is a?
A) annual percentage rate
B sales tax
C unpaid balance
D) finance charge

Answers

annual percentage rate

By what number must be 566 be divided so as to give a quotient 15 and reminder 11?​

Answers

Step-by-step explanation:

566 - 11 = 555

555 / 15 = 37.

The number is 37.

Answer:

[tex]\boxed{\pink{\sf \leadsto The \ required \ number \ is \ 37 . }}[/tex]

Step-by-step explanation:

We need to find the number By what number must be 566 be divided so as to give a quotient 15 and reminder 11.

So , let us take the number be x .

Now , we know that ,

[tex]\boxed{\red{\bf Dividend = Quotient\times Divisor + Remainder }}[/tex]

Here , 566 will be Dividend , 11 is remainder and 15 quotient . x will be the Divisor .

[tex]\implies Dividend = Quotient\times Divisor + Remainder \\\\\implies 566 = 15 \times x + 11 \\\\\implies 566 = 15x + 11 \\\\\implies 15x = 566 - 11 \\\\\implies 15x = 555 \\\\\implies x =\dfrac{555}{15}\\\\\underline{\boxed{\orange{ \tt \implies x = 37}}}[/tex]

Hence the required number is 37 .

1/4x+5=30 what is the sum

Answers

Answer:

x = 100

Step-by-step explanation:

First we do 30 - 5 which is 25 then we divide by 1/4 which is really multiplying by four so the answer is 100

the function c(x)=18x-10 represents the cost in dollars. How many tickets can you buy?

Answers

Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.

So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 188 dollars.

The solution would still clear your concept though.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

[tex]c(x)=18x-10[/tex]

The slope-intercept form of the line equation

We know that the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

so

comparing with the slope-intercept form of the line equation

here:

rate of change = 18 c(x) or y represents the cost

and

'x' represents the number of tickets

Assuming the total cost i.e. c(x) = $188

In order to determine the value of x, set c(x) = 188

i.e.

188 = 18x -10

switch sides

188x - 10 = 170

add 10 to both sides

18x - 10 + 10 = 188 + 10

18x = 198

Divide 18 to both sides

18x/18 = 198/18

x =  11

Therefore, if you can buy x = 11 tickets if you pay  170 dollars.

When the ? method , interest is charged only on the balance remaining in your account ?
A) annual percentage rate
B) unpaid balance
C) sales tax
D) finance charge ​

Answers

I think the answer is unpaid balance

This line graph shows the temperature in London over a period of time.
What is the temperature in London at 2pm?

Answers

The temperature in London at 2pm is 14°C

Answer:

draw a straight line from x point of 2pm up to the line. Then what is the y point of it?

Ill give you an example, for 4pm it's 13C. For 8pm it's 6C. For 9pm it's 8C.

Let me know what you get. And I'll let you know whether it's right or not

Translate a point (x, y) 3 units left and 5 units up. Then translate the image 5 units right and 2 units up. What are the coordinates
of the point after the translations?
The coordinates are

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the point

P(x, y)

Please note that when we translate a point 'c' units left, the 'c' units are subtracted from the x-values, and when translating a point 'c' units right, we add the 'c' units to the x-values.

Also, note that when we translate a point 'c' units down, the 'c' units are subtracted from the y-values, and when translating a point 'c' units up, we add the 'c' units to the y-values.

After First Translation:

3 units left and 5 units up

P(x, y) → P'(x-3, y+5)

After Second Translation:

Translate the image 5 units right and 2 units up.

P'(x-3, y+5)  → P''(x-3+5, y+5+2) = P''(x+2, y+7)

Thus, the coordinates  of the point(x, y) after the translations are:  P''(x+2, y+7)

TAKING AN EXAMPLE

Let us consider that point

P(0, 0)

After First Translation:

3 units left and 5 units up

P(0, 0) → P'(0-3, 0+5) = P'(-3, 5)

After Second Translation:

Translate the image 5 units right and 2 units up.

P'(-3, 5) → P''(-3+5, 5+2) = P''(2, 7)

Thus, the coordinates  of the point P(0, 0) after the translations are:

P''(2, 7)

Answer: P''(2, 7). (hope this is what you wanted)!

Which of the following lists is in order from smallest to largest?

a) ½, ⁷/11, ⅝, ⅔
b) ½, ⅔, ⅝, ⁷/11
c) ½, ⅝, ⁷/11, ⅔
d) ⁷/11, ½, ⅝, ⅔​

Answers

Answer:

C)

Step-by-step explanation:

1/2 = 0.5

5/8 = 0.625

7/11 = 0.63

2/3 = 0.66

The graph of the absolute value parent function, fx) = [xl, is stretched
horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
O A. g(x) = (x+61
B. g(x) = 6] x1
O c. g(x) = \šal
D. g(x) = 16x1

Answers

Answer:

g(x) = [x/6]

Step-by-step explanation:

The given graph is f(x)=[x]

On stretching the function f(x) by a factor of 6, the new function g(x) is

g(x) = f(x/6)

So, g(x) = [x/6]

Hence, on stretching the f(x) by a factor of 6, the new function g(x)=[x/6].

Note that none of the given options matched.

The ratio of the sides of two similar polygons is 3:2. The area of the smaller polygon is 24cm squared. What is the area of larger polygon

Answers

Answer: 36cm

Step-by-step explanation:

From the question, we are informed that the ratio of the sides of two similar polygons is 3:2 and that the area of the smaller polygon is 24cm squared.

Therefore, the area of the larger polygon would be calculated as:

= 24cm ÷ 2/3

= 24cm × 3/2

= 36cm

Given the following diagram, find the missing measure. m 4 = 2x°, m 2 = (4/3)x°, m 3 = 20°, find x. 10 30 20 60

Answers

Answer:

B. 30 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram:

Interior angles are m<3 and m<2

Exterior angle = <4

using the rule that says that the sum of interior angles is equal to the exterior angle we have:

m<2+m<3 = m<4

(4/3)x°+20 = 2x°

multiply through by 3:

4x° + 60 = 6x°

4x°-6x° = -60

-2x° = -60

x°= -60/-2

x° = 30°

Hence the value of x is 30 degrees

A bag contains 4 yellow, 2 red, and 6 green marbles. Two marbles are drawn. The first is replaced before the second is
drawn. A random variable assigns the number of red marbles to each outcome. Calculate the expected value of the random
variable.

A) 0.67
B) 0.56
C) 0.17
D) 0.33

Answers

The number of red marbles pulled is C: 0.17

Here's why:
2+6+4= 12
2/12= 1/6
1/6= .166666667 or about .17

I hope this helps:)

Answer:

d

Step-by-step explanation:

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