Let AB be the directed line segment beginning at point A(5 , 5) and ending at point B(19 , 16). Find the point P on the line segment that partitions the line segment into the segments AP and PB at a ratio of 5:2.

Answers

Answer 1

Answer:

(9, 57/7)

Step-by-step explanation:

Given the coordinates A(5 , 5)  and B(19 , 16), divided by the point P in the ratio 5:2, to get the coordinate of P, we will use the formula;

P(X, Y) = {{ax1+bx2/a+b, ay1+by2/a+b}

X = ax1+bx2/a+b

Substitute the given values

X = 5(5)+2(19)/5+2

X = 25+38/7

X = 63/7

X = 9

Similarly;

Y = 5(5)+2(16)/5+2

Y = 25+32/7

Y = 57/7

Hence the coordinate of point P is (9, 57/7)


Related Questions

Does 135, 45, 15,5,represent a
geometric sequence?

Answers

Answer:

yes

Step-by-step explanation:

Each time it is divided by three!

Yes since there is a common ratio between each term.

$1500 at 4% for 5 years
Find the interest earned

Answers

Answer:

I=$300

Step-by-step explanation:

P=1500

r=4%=0.04

t=5 years

I=p*r*t

I=1500*0.04*5

I=300

solve for x , (2x-1)=5(x+1)

no links​

Answers

Answer:

x = -2

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

(2x-1)= 5(x+1)

2x - 1 = 5x + 5

-2x -2x

- 1 = 3x + 5

-5 -5

-6 = 3x

-6/3= 3x/3

-2= x

PLEASEEEE HELPPP!!! FIND THE VALUE OF X AND Y

Answers

Answer:

x = 21 and y = 83

Step-by-step explanation:

Since the figures are similar, then corresponding sides and angles are congruent, that is

GE = LA

x = 21

and

∠ I = ∠ M , so

y = 83

please help
easy points

Answers

Answer:

its the fortnite man can i get brainlest plsss

Step-by-step explanation:

Factor completely. 492 – 9 =?​

Answers

Answer:

483

Step-by-step explanation:

Answer:

483

Step-by-step explanation:

subtract 492 by 9 and it is =483

A square table in the cafeteria has the dimensions shown. What is the length of the diagonal of the table? Round to the nearest hundredth of a foot.

Answers

Answer: 11.31

Step-by-step explanation:

A corner store sells two kinds of baked goods: cakes and
pies. A cake costs $11 and a pie costs $6. In one day, the
store sold 9 baked goods for a total of $84. How many
cakes did they sell?

Answers

Answer:

They sold 4 cakes

and 5 pies...

Step-by-step explanation:

four cakes cost $44 and 5 pies cost $30

44+30= 84

really I just used trial and error by plugging in numbers.

hope this helps chu <3

Find the area of AABC with A = (1,3), B = (5, 7), and
C = (6,3).

Answers

Answer:

A=L×B

A=1×3

A=3cm²

B=L×B

B=5×7

B=35cm²

C=L×B

C=6×3

C=18cm²


The point (-3, 2) is on the line given by which equation below?
HELPPP ME PLSSSS I NEED THIS NOWW

Answers

The answer is c. you can also check this by simply plugging in the x and y values.
In this case:
2=-3+5
2=2

what is the Variable in
3x + 7

Answers

the variable is x, that's all

Answer:

x is the variable

3 is the coefficient, 7 is the constant, and + is the operator.

Here's how to identify other terms:

calculate the diameter of the circle

Answers

Answer:

2.64cm

Step-by-step explanation:

A = π r^2

5.5 = π r^2

1.75 = r^2

r = 1.32

Diameter is then 2(1.32) = 2.64

Answer:

2.65 cm to the nearest hundredth

Step-by-step explanation:

A = πr^2 = 5.5

r^2 = 5.5/ π = 1.5707

r = 1.3231

Diameter = 2 * r

= 2.6462.

please help i will mark branliest

Answers

Answer:

The correct answer is D

Step-by-step explanation:

40% of 13 is 5.2 and they only raised 4 punishment that are 96 inches

Derek decorates more cookies. He plots the point (5,10) on the coordinate plane. what is the meaning of point (5, 10)?

A. Derek decorates 5 cookies every 10 mins
B. Derek decorates 10 cookies every 5 mins

(Note that he decorates 2 cookies every minute.)

Answer needed ASAP

Answers

Answer:

A. don't know if this helps but with plotting but (x, y) the x always comes first

Answer:

A

Step-by-step explanation:

A. Derek decorates 5 cookies every 10 mins

what is 7.266435 986 159 17 to the nearest integer?​

Answers

Answer:

7

Step-by-step explanation:

Rounding rules. Anything below 5 will round down

2x and 3x are like terms



Answers

The x just represents the variables

Estimate the surface area of the rectangular prism.
A) 28cm
B) 32cm
C) 64cm

Answers

Answer:

it a

Step-by-step explanation:

Calculate the puppy's speed at 6 seconds.



Answers

The answer is A hope that helps

Answer:

a. 6 m/s

Step-by-step explanation:

Distance = 36 meters

Time = 6 seconds

Speed = Distance ÷ Time

Speed = 36 m ÷ 6 secs

Speed = 6 m/s

A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
b. What is the slope-intercept equation of the line that fits this information?

Answers

Answer: y = 10x + 30 is the correct answer

Select the expression that is equal to –10(4x – 5).

Answers

Answer:

-2 (20x - 25)

Step-by-step explanation:

Answer:

40x - 50

Step-by-step explanation:

10(4x)= 40x

10(-5)= - 50

40x - 50

Ren built a birdhouse with a volume of 224 in.3 Find the height of the birdhouse.

Answers

Complete question:

Ren built a birdhouse with a volume of 224 in³ Find the height of the birdhouse. A square pyramid. The square base has side lengths of 8 inches and the height is unknown.

Answer:

the height of the birdhouse is 10.5 in.

Step-by-step explanation:

Given;

volume of the square pyramid, V = 224 in³

length of a side of the square base, a = 8 in

The volume of square pyramid is calculated as;

[tex]V = \frac{a^2h}{3} \\\\where;\\h \ is \ height \ of \ the \ birdhouse \ (Pyramid)\\\\a^2h = 3V\\\\h = \frac{3V}{a^2} \\\\h = \frac{3 \times 224}{8^2} \\\\h = 10.5 \ in[/tex]

Therefore, the height of the birdhouse is 10.5 in.

Answer:

64 and 10 1/2

Step-by-step explanation:

Four points are labeled on the number line.


Which point best represents 1/2??

A. Point K
B. Point L
C. Point M
D.Point N

Answers

Answer:

point M represent s a third

6.6× 0.05= 0.33=1/3

Please Help Me Answer:
-6n - 5 = 31

Answers

Answer:

n = - 6

Step-by-step explanation:

Given

- 6n - 5 = 31 ( add 5 to both sides )

- 6n = 36 ( divide both sides by - 6 )

n = - 6

Answer:

n= -6

Step-by-step explanation:

-6n=31+5

-6n=36

n=36÷-6

n= -6

Hiking boots cost $108.35. There is a 7.25% sales tax. What is the total cost of the boots?

Answers

Answer:

Hope this helps!

Step-by-step explanation:

How the sales tax calculator works

Step 1: take the total price and divide it by one plus the tax rate.

Step 2: multiply the result from step one by the tax rate to get the dollars of tax.

Step 3: subtract the dollars of tax from step 2 from the total price.

Pre-Tax Price = TP – [(TP / (1 + r) x r]

TP = Total Price.

Answer: $116.21

Step-by-step explanation:

$108.35 + $7.86(tax) = $116.21

Indique la propuesta correcta con respecto a los instrumentos de medida: a) El Voltímetro A.C. Mide valor medio b) El Voltímetro D.C. Mide valor máximo c) El Amperímetro A.C. Mide valor medio d) El Amperímetro A.C. Mide valor eficaz c) El Amperímetro D.C. Se conecta en paralelo

Answers

Answer:

Las propuestas correctas son;

a) Voltímetro de CA Mide el valor medio

La magnitud del voltaje de corriente alterna varía periódicamente con el tiempo, dentro de un rango dado

El voltímetro de CA proporciona la lectura y, por lo tanto, mide el valor medio del voltaje, el voltaje pico o el R.M.S. valor de la tensión

b) El voltímetro de CC mide el valor máximo

Los valores de voltaje de un circuito de corriente de CC se fijan con el tiempo y, por lo tanto, el voltímetro de CC mide los voltajes máximos en el circuito.

c) El amperímetro de CA mide el valor medio

Similar a la medición de voltaje de CA, el amperímetro de CA mide el valor de corriente medio

d) El A.C. mide el valor efectivo

La raíz cuadrada media o R.M.S. valor es el valor medido por un R.M.S. Medidor de A.C.

e) El D.C. se conecta en paralelo

Todos los voltímetros se colocan en paralelo con el circuito desde el que se va a medir el voltaje.

Sin embargo, un amperímetro de CC está conectado en serie

Step-by-step explanation:

Are the following two expressions equivalent?
Explain how you know...
3(4-x)
6(x+2)-7x

Answers

Answer:

no, because the first=12-x

and the second=-1x+2

Step-by-step explanation:

Answer:

No, they are not equivalent.

Step-by-step explanation:

First, we simplify the two expressions.

3(4 - x) = 12 - 3x  We multiply everything inside the bracket by 3.

6(x + 2) - 7x = 6x + 12 - 7x = 12 - x  Using BODMAS/BIDMAS, we first multiply everything in the brackets by 6 and then simplify.

If we compare 12 - 3x to 12 - x, we can clearly notice that they aren't equivalent. If they were to be equivalent, they would have to be exactly the same values as each other. The 12 is common in both expressions, but the -3x and -x differ, therefore the following two expressions aren't equivalent.

I hope this helps!! ^-^

Which of the following correctly completes the square for: x^2+2x=48

A. (x+2)^2=52
B. (x+1)^2=49
C. (x+2)^2=47
D. (X-1)^2=26

Answers

Answer:

(x+1)²= 49, the answer is B

Step-by-step explanation:

x² + 2x = 48

x² + 2x + (2/2)² -  (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² -  (2/2)²]

(x+1)²= 49, the answer is B

Answer:

hey I'm pretty sure it's B. (x+2)²=49

Step-by-step explanation:

x²+2x+(2\2)²=48 + (2\2)²

(x+1)²=49

2 over 2 by the power of 2 = 1

A new truck that sells for $29,000 depreciates 12% each year.
Write a function that models the value of the truck.

Answers

Answer and Step-by-step explanation:

f(x) = [tex]29,000(0.88)^{x}[/tex]

Where x is time in years and f(x) is the amount of money the truck is worth each year.

We get 0.88 by subtracting 0.12 (aka 12%) from 1.00.

#teamtrees #PAW (Plant And Water)

Can someone seriously help me

Answers

Answer:

6 inches

Step-by-step explanation:

The mode is the most frequently occurring number.

The mode of Martha's Fish is 21.

The mode of Jamie's Fish is 15.

21 - 15 = 6

The mode of Martha's fish is 6 inches longer than the mode of Jamie's fish.

Type the slope of the line PERPENDICULAR to y = 6x -3 *

Answers

Answer:

The slope of a line perpendicular is -1/6

Step-by-step explanation:

Perpendicular lines are opposite reciprocals so you would flip 6/1 to 1/6 and negate it. The answer is -1/6.

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