The endpoints of the directed line segment AB are A(−3, 4) and B(5, 10). Find the coordinates of point P along AB¯¯¯¯¯¯¯¯ so that the ratio of AP to PB is 1 to 3.

Answers

Answer 1

Answer:

The coordinates of P is (-1,5.5)

Step-by-step explanation:

Here, we want to find the coordinates of the point that divides the segment into the ratio 1 to 3

To do this, we are going to use the section formula

We have this as;

(x,y) = (nx1 + mx2)/m+ n, (ny1 + my2)/m + n

where m = 1 , n = 3

(x1,y1) = (-3,4)

(x2,y2) = (5,10)

Substituting these values, we have;

(x,y) = (3(-3) + 1(5)/4 , (3(4) + 1(10)/4

(x,y) = (-9+ 5)/4 , (12 + 10)/4

(x,y) = (-1, 5.5)


Related Questions

Please and thank you

Answers

The answer is -1 and 0
The answer is -1 and 2

9. Select all the statements that must be true.

Parallelograms have four congruent sides

Both sets of opposite sides of a parallelogram are parallel and congruent

A trapezoid is a parallelogram

Diagonals of a parallelogram bisect each other

Diagonals of a parallelogram are congruent​

Answers

Parallelograms have four congruent sides

The true statements about parallelograms are,

Both sets of opposite sides of a parallelogram are parallel and congruent.

A trapezoid is a parallelogram.

Diagonals of a parallelogram bisect each other.

What is a parallelogram?

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The area of a parallelogram is base multiples by height as two triangles form a parallelogram.

The true statements about parallelograms are,

Both sets of opposite sides of a parallelogram are parallel and congruent.

A trapezoid is a parallelogram.

Diagonals of a parallelogram bisect each other.

learn more about parallelograms here :

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Ashley walks One-third of a mile each day. After 10 days, how many miles has she walked?

Answers

Answer:

3 Miles

Step-by-step explanation:

Answer:

10/3 = 3 1/3

Step-by-step explanation:

According to the information given in the word problem, she walks one-third of a mile each day.

1/3 x 10/1 = 10/3

10/3 = 3 1/3 (simplified).

x2-7x+12byx-3 divide of algebraic expression

Answers

-41.

Explanation and show work:

Answer:

x - 4

Step-by-step explanation:

Please write X2-7x+12 by x-3  as  x^2 - 7x + 12.  The " ^ " represents exponentiation.

Notice that  x^2 - 7x + 12  factors as follows:  (x - 3)(x - 4), and so the original division problem

x^2 - 7x + 12                        (x - 3)(x - 4)

-------------------- becomes  -------------------- = x - 4

      x - 3                                      x - 3

for all x except x = 3 (because we cannot divide by zero).

Jeosksjdjdjdjjdjdjdjdj2+2 djskksosowo

Answers

Answer:

Watta is ittz

Step-by-step explanation:

:><>> :p hsjsjyzjsbshsgss 2+2 is 4....

A store is instructed by corporate to put the markup of 43% on all items. An item costing 7$ is displayed by the manager at selling price of 3$ . Notice that the selling price is wrong . Find the correct selling price . What is the managers error?

Answers

Answer:

Selling rice is $10.00

Step-by-step explanation:

The manager put what the markup of $3.00 was to be added onto what the item cost.

what is the equation of the line that passes through the points -7 -1 and has a slope of 1

Answers

Answer:

Step-by-step explanation:

   y - y1 = m (x - x1)       the slope m = 1    (x1, y1) = (-7, -1)

   y - -1  = 1 (x - -7)

   y + 1  =  1 (x + 7)

         y = x +6

Write the number 6,800 in scientific notation.

Answers

Answer:

6.8*10^3

Step-by-step explanation:

Answer:

The answer is 6.8 × 103.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

i’m trying to find the 6 ratios in this.

Answers

Our 6 ratios:

10/24

10/26

24/26

24/10

26/10

26/24

PLEASE HELP ITS TIMED!!! Which list represents all values of x for which the function has a discontinuity?
A.1
B.0 and 1
C.–2 and 1
D.–2, 0, and 1

Answers

Answer: D. -2, 0, and 1

Step-by-step explanation:

edge2021

The list that represents the values of x for which the function has a discontinuity is 0 and 1

How to determine the list of values?

The function is given as:

[tex]f(x)=\dfrac{1}{x(x-1)}[/tex]

Start by setting the denominator to 0

x(x -1) = 0

Split the equation

x = 0 and x -1 = 0

Solve for x

x = 0 and x = 1

Hence, the list that represents the values of x for which the function has a discontinuity is 0 and 1.

Read more about function discontinuity at:

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Point R has coordinates of (-6,-4). If line segment RS is 7 units in length, which could be the coordinates for point S?

Answers

Answer:

To be honest I haven't learned this yet so please reach out to me later

You bought an item for $25 on Ebay and plan on marking it up 65%. What price will you sell your item for to the nearest dollar?

Answers

Answer:

$41.25

Step-by-step explanation:

The original price is $25. You want to sell it for 65% more. To find this amount, we need to find 65% of 25.

Let's make an equation.

65/100 • 25 = x

Multiply.

x = 16.25

Now we know how much you want to mark it up by.

Add this to your base of $25.

25 + 16.25

= 41.25

You want to sell it for $41.25.

Hope this helps!

HI GIRLIES HELP ME PLEASE :) THANK U SM LIKE I LITERALLY AM IN LOVE WITH YOU

Answers

Answer:

I think it's B I really don't know though

Answer is B
Y-0=1/2(X-3)
Y=1/2X- 3/2

can somebody please explain this to me. it’s timed

Answers

Answer:

258 cm PLZ GIVE ME BRAINLIEST

Step-by-step explanation:

Since the chord is given as 80cm, we know from the definition of a chord that it is equidistant to both sides of the circle. Therefore, half the chord is 40. The extension of the center to the chord is perpendicular to the chord(definition of a chord). Therefore, if we connect the center of the circle to the edge of the chord, it's a right triangle. Also the center of the chord is the radius of the circle. Pytharogean theorem: 40^2 + 9^2=r^2   :   1681=r^2:     r=41. The radius is 41. Curcumference of circle: pi*2*r : pi*2*41 : pi*82= 258 cm.

17. Name four linear pairs

Answers

heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyhhhhhhhhhhhhhhhhhhhhhoooooooooooooooowwwwwwwwwwaaaaaaaaaaaaaaaaaarrrrrrrrrrrrrrrrrrrreeeeeeeeeeeeeeeeeeyyyyyyyyyyyyooooooooooouuuuuuuuuuuudddddddddoooooooiiiiiiinnnnnnng

Cooper wrote checks on his checking account for $20, $20, $18, $20, and $35. He also deposited $53 in the account. Which number describes the change in the balance of his account?
A $11.99 B $ 31.39 C $ 53.41

Answers

C beacause I’m big brain

x 2 +6x+___ complete the square

Answers

9 is the blank.

(a+b)^2 = a^2 + 2ab + b^2

a = x
b = 3

(x+3)^2 = x^2 + 6x + 9

help please!! i just need to know if it’s a b c or d

Answers

Answer:

hey it is 15.71 thanks for points

it’s C! the circumference is 15.71

Cristian,Iris,and Morgan each get an equal share of 1/2 of a pizza. Which model represents the fraction of the pizza each person gets?

Answers

Answer:

Step-by-step explanation:

1/6

1/2 ÷ 3

1/2 × 1/3

1/6

which pair of statements about the lengths of the two sides of the triangle is true?​

Answers

Answer:

D

Step-by-step explanation:

I Looked at te graph and counted each space

Answer:

Step-by-step explanation:

The Anwser is B

Lines RS, TV, and SW are shown. On a coordinate plane, 3 lines are shown. Line R S goes through (negative 8, 6) and (2, 6). Line T V goes through (negative 6, negative 4) and (8, negative 4). Line S W goes through (2, 6) and (2, negative 8). Which statements are true about these lines? Select three options. Line RS has a slope of 6. Line SW has an undefined slope. Line TV has a slope of 0. Lines RS and TV are parallel. Line SW is perpendicular to line RS, but not to line

Answers

Answer:

b, c, d.

Step-by-step explanation:

Statements 2) Line SW has an undefined slope, 3)Line TV has a slope of 0, and 4) Lines RS and TV are parallel are correct.

It is given that there are three lines RS, TV, and SW.

Line RS goes through (-8, 6) and (2, 6).

Line TV goes through (-6, -4) and (8, -4).

Line SW goes through (2, 6) and (2,-8).

It is required to find true statements.

Statements are:

Line RS has a slope of 6.Line SW has an undefined slope.Line TV has a slope of 0.Lines RS and TV are parallel.Line SW is perpendicular to line RS, but not to line TV.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]m=\frac{y_{2}-y_{1}}{{x_{2}-x_{1}}}[/tex]

Where [tex](x_{1}, y_{1}) and (x_{2}, y_{2})[/tex] are points lie on the line.

1. Finding line RS slope by using the above formula:

   [tex]m=\frac{6-6}{2-(-8)}[/tex]

   [tex]m=0[/tex]

2. similarly finding line SW slope:

   [tex]m=[/tex] ∞

3. similarly finding line TV slope:

   [tex]m=0[/tex]

4. If the two lines are parallel then their slope will be equal.

   The slope of RS = The slope of TV.

   Hence RS and TV are parallel.

5. If two lines are perpendicular then their product of slope will be -1.

   Here we can see the product of the slope of SW and RS is not defined.

   Hence these two lines aren't perpendicular.

Therefore, statements 2, 3, and 4 are correct.

Learn more about the slope of the straight line.

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[tex]\sqrt[3]{-125^{4} }[/tex]


plz give me the full step

Answers

Answer:

-166.6666667

Step-by-step explanation:

the full step u r welcome

Help me with this please!!!!!!

Answers

Answer:

V = (4, 4 )

Step-by-step explanation:

Use the midpoint formula, the equation corresponding coordinates to the coordinates of the midpoint M

let V = (x, y ) , W = (8, 6 ) , then

[tex]\frac{x+8}{2}[/tex] = 6 ( multiply both sides by 2 )

x + 8 = 12 ( subtract 8 from both sides )

x = 4

and

[tex]\frac{y+6}{2}[/tex] = 5 ( multiply both sides by 2 )

y + 6 = 10 ( subtract 6 from both sides )

y = 4

coordinates of V = (4, 4 )

Please help me! this got deleted at first for some reason ​

Answers

Answer: 55 Square inches

Step-by-step explanation:

You should find the area of the square and rectangle separately

To find the area you multiply length times width, so the area of the square is 4×4 which equals 16

Then you do the same to the rectangle, 13×3=39

To find the area of the whole figure you add the area of the two shapes together 16+39 which should give you 55

55 square inches!!! I hope that the right answer ? But yea uh good luck lol

If z = -7, what is the value of (-8z) - z?

Answers

Answer:

63

Step-by-step explanation:

you will plug in -7 for both z's

(-8(-7) - (-7)

following PEMDAS you will do multiplication first

(-8(-7) = 56

now we have 56 - (-7)

since - and - make a positive it will be

56 + 7 = 63

Divide 1 hour in the ratio 20%to 80%

Answers

Answer:

12min 48min

Step-by-step explanation:

1hr=60min

60x20%=12min

60x80%=48min

Answer:

1 : 4

Step-by-step explanation:

20% of 60 mins = 20/100*60 = 12 mins.

80% of 60 mins =80/100*60 = 48mins.

PLEASE HELPPPPPP me NOW IF U KNOW THE RIGHT ANSWER OMGGG

Answers

9514 1404 393

Answer:

  68°

Step-by-step explanation:

Chords of the same length subtend arcs of the same measure.

  Chord EF = Chord FG . . . . given

  Arc EF = Arc FG = 68°

Ivan earns $8 each time he walks his neighbor's dog. He already walked the dog 5 times. How many more times does he need to walk the dog to earn enough money to buy a game that costs $88?

Answers

Answer: 6 more times!

Step-by-step explanation:

6 times cause 8 times 5 is 40 so he has to do it more the

Pour connaitre la distance qui la separes dune ile armelle vise un arbre de deux endroit distant de 10m sur une berge elle a pris les mesures données sur le desin suivant

Answers

Répondre:

AI = 32,36 m

IE = 30,78 m

Explication étape par étape:

Utilisation de Pythagore:

Cosθ = adjacent / hypoténus

AI = hypoténus

θ = 72 °

Adjacent = 10 m

Cos 72 = 10 / AI

0,3090169 = 10 / AI

AI = 10 / 0,3090169

AI = 32,36 m

De la trigonométrie;

IE = opposé

Adjacent = 10m

Tanθ = opposé / adjacent

Tan 72 = IE / 10

IE = Tan 72 * 10

IE = 3,0776835 * 10

IE = 30,78 m

A store is advertising a sale with 10% off all items in the store. The sales tax is 5%. A 55-inch

television is regularly priced at $855. What is the total price of the television, including sales tax,

if it was purchased on sale?

Answers

Answer:

$812.25

Step-by-step explanation:

Given data

Cost of TV=  $855

Discount= 10%

Tax= 5%

Let us find the amount of the Discount

=10/100*855

=0.1*855

=$85.5

Let us find the amount of the Tax

=5100*855

=0.05*855

=$42.75

Hence the cost of the TV is

=855+42.75-85.5

=897.75-85.5

=$812.25

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