If A(2, 2) and B(14, 10) find the point that will divide AB into a ratio of 3:1 starting from point A.

Answers

Answer 1

Answer:

Point [tex](11,8)[/tex] divides [tex]AB[/tex] into a ratio of [tex]3:1[/tex] .

Step-by-step explanation:

Given: Points are [tex]A(2,2)\,,\,B(14,10)[/tex]

To find: point that will divide [tex]AB[/tex] into a ratio of [tex]3:1[/tex] starting from point [tex]A[/tex].

Solution:

If the point [tex](x,y)[/tex] divides the line joining points [tex]A(u,v)[/tex] and [tex]B(p,q)[/tex] in ratio [tex]m:n[/tex] then

[tex](x,y)=(\frac{mp+nu}{m+n},\frac{mq+nv}{m+n} )[/tex]

Put [tex](u,v)=(2,2)\,,\,(p,q)=(14,10)\,,\,m:n=3:1[/tex]

Therefore,

[tex](x,y)=(\frac{3(14)+1(2)}{3+1} ,\frac{3(10)+1(2)}{3+1} )=(\frac{42+2}{4},\frac{30+2}{4})=(\frac{44}{4},\frac{32}{4})=(11,8)[/tex]

Therefore,

point [tex](11,8)[/tex] divides [tex]AB[/tex] into a ratio of [tex]3:1[/tex] .


Related Questions

Factor the expression using the GCF

6r-30

Answers

Answer:

6(r - 5)

Step-by-step explanation:

GCF here is 6. So divide each term by 6.

6r - 30 = 6(r - 5)

WHAT WOULD THIS BEEE
A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters.
Is it a right triangle?
Answer:

Answers

no, the angles are roughly 34, 44, and 102

Phil is making a number cube out of cardboard He traces one face of the number cube onto a coordinate grid The coordinates of two opposite vertices of the face are (4, 8) and (12, 16) What is the surface area, in square units, of Phil's entire number cube?

Answers

Answer:   384 square units

=============================================================

Explanation:

Let A = (4,8) and B = (12,16)

Form point C at the location (12,8). Note how points A and C are on the same horizontal level, or they have the same y coordinate.

The distance from A(4,8) to C(12,8) is 12-4 = 8 units. Ignore the y coordinates and subtract the x coordinates. This trick only works for horizontal line segments.

So we can see that each square face has a side length of 8 units. The area of each square face is 8^2 = 8*8 = 64 square units.

There are six of these faces, so 6*64 = 384 square units is the total surface area of the number cube.

Is the graph increasing or decreasing over the interval -3 < x <1? *

Answers

Answer:

increasing

Step-by-step explanation:

please hurry I need to pass this class

Answers

Answer:

start at (0,2) go up one over 3 to the right, and down 1 over 3 to the left

Answer:

slope is 1/3

the y intercept is (0,2)

HURRY HURRY HURRY PLEASE! This is due by 8:00 it’s 7:21 !

Answers

Answer:

64

Step-by-step explanation:

4^3 means to multiply 4 by itself three times, 4×4×4=64

Write the radical expression in simplest radical form. square root of -120​

Answers

Answer:-12

Step-by-step explanation:

Hema is making cupcakes for her classroom. She has a 14 ounce-bag of sprinkles. aif she puts 1/3 ounce of sprinkles on each cupcake, how many cupcakes can she make using the sprinkles? (fraction pls)​

Answers

Answer:

42 or 42/1

Step-by-step explanation:

Divide 14 by 1/3.

Pleaseee helppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

(7, -4)

Step-by-step explanation:

(3,-8) would be the answer

Find the value of x in the triangle shown below

Answers

Answer:

Step-by-step explanation:

Pythagorean theorem,

Base² + altitude² = hypotenuse²

x² + 3² = 6²

x² + 9 = 36

      x² = 36 - 9

     x² = 27

x = √27

Answer:

D) x=sq rt 27

Step-by-step explanation:

using the Pythagorean theorem

6^2=3^2+x^2

36=9+x^2

27=x^2

x=sq rt 27

URGENT!!!! PLS HELPP!!!​

Answers

Answer:

35*36=1260

Step-by-step explanation:

Answer:

35, 36

Step-by-step explanation:

Let the two consecutive positive integers be x and (x + 1)

According to the given information:

[tex]x(x + 1) = 1260 \\ \\ {x}^{2} + x - 1260 = 0 \\ \\ {x}^{2} + 36x - 35x - 1260 = 0 \\ \\ x(x + 36) - 35(x + 36) = 0 \\ \\ (x + 36)(x - 35) = 0 \\ \\ x + 36 = 0, \: \: x - 35 = 0 \\ \\ x = - 36, \: \: x = 35 \\ \\ \because \: x \in \: positive \: integer \\ \\ \therefore \: x \neq \: - 36 \\ \\ \therefore \: x = 35 \\ \\ x + 1 = 36[/tex]

Find the value of x in the triangle shown below.
32
9
3
Choose 1 answer:
<= V27
B
2= 90
C
2 = 6
D
12

Answers

Answer:

Rounding this off to the nearest hundred, we get that x is 12 units long.

Step-by-step explanation:

b 9^2+3^2=90 it’s the square root of 90

Calculate the missing number in a ratio. ?:0.2 = 7:6​

Answers

9514 1404 393

Answer:

  ? = 7/30 = 0.233...(repeating)

Step-by-step explanation:

Write the ratios as fractions, then multiply by the denominator under the unknown.

  [tex]\dfrac{\text{?}}{0.2}=\dfrac{7}{6}\\\\\text{?}=0.2\times\dfrac{7}{6}=\dfrac{2}{10}\times\dfrac{7}{6}\\\\ \boxed{\text{?}=\dfrac{7}{30}=0.2\overline{3}}[/tex]

1 + 1 = ? can you help me

Answers

Answer:I think its 2

Step-by-step explanation:Im not really sure but i think thats the answer

Answer:

2

Step-by-step explanation:

A bottom of a 6 foot deep circular pool has an area of 452.4 ft. If the pool is only
full, how many cubic feet of water are in the pool? Round to the nearest tenth, if
necessary.

Answers

Answer:

450.4

Step-by-step explanation:

Light can travel 1,339,200,000 miles in two hours. What is the speed of light in miles per hour?

Answers

Answer:

670 616 629 miles per hour?

Step-by-step explanation:

what would x & y be ? PLZ HELP DUE IN 20 MINUTES !

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

plz mark brainliest! :D

Show that the statement is true. If ST has endpoints S(-6, -3) and T(0,3), then the midpoint M of ST lies
on the x-axis.
The midpoint M is
D. M lies on the (select), since the y-coordinate is....
Help asap please

Answers

Answer:

Use the midpoint formula

Step-by-step explanation:

(-6 + 0 ) ÷ 2 , (-3 + 3) ÷ 2

M = ( -3 , 0) which lies on the x axis

The midpoint M of ST lies on x axis is true

the midpoint M is (-3,0)

M lies on x axis because the y coordinate is 0

Given :

ST has endpoints  S(-6, -3) and T(0,3)

Lets find out the midpoint M using midpoint formula

[tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Here our (x1,y1) is (6,-3) and (x2,y2) is (0,3)

Now apply the midpoint formula to find out midpoint M

[tex](\frac{-6+0}{2}, \frac{-3+3}{2})\\(-3,0)[/tex]

So the midpoint M is (-3,0)

M lies on x axis because the y coordinate is 0

Learn more :https://brainly.com/question/24472059


Find the value of x.

Answers

Answer:

x = 4

Step-by-step explanation:

ΔABC ≈ ΔDBE

set up a proportion of corresponding sides:

BD / BE = BA / BC

BA = 10 - x + x = 10

10-x / 3 = 10 / 5

cross-multiply:

5(10 - x) = 3(10)

50 - 5x = 30

-5x = -20

x = 4

 

HOW MUCH???would she need

Answers

Answer:

43ft

Step-by-step explanation:

side a = x ft

side b = 10 ft

side c = 18 ft

x = 14.967

rounds to = 15

10 + 18 + 15 = 43

43 ft of fence needed

Which two equations express the measure of angle x?

Answers

Step-by-step explanation:

the answer to your question is 1 and 4

Answer:

Step-by-step explanation:

1 and 4 wrong

According to this partial W-2 form, how much money was paid in FICA taxes?
A)$497.13
B)$2622.80
C)$5639.88
D)$7268.42

Answers

I want to say C but the gut inside me is saying B

Answer:

2622.80

Step-by-step explanation:

I just took the test and made a 100%

A map of a city uses the scale 1 cm = 75 m. On the map, South Street is 28 cm long. If there is a traffic cone at the start of South Street and a cone every 5 m along the road, how many traffic cones are there in al?
traffic cones in all
There are

Answers

Answer:

28 x 75 = 2,100 then you would divid 2,100 / 5 = 420 so thats your answer.

Hope this helps please reward me brainlist

Help please I don’t know what to do!!!!!

Answers

The other person is correct

Answer:

[tex]y = 2(2) {}^{x} [/tex]

Step-by-step explanation:

It ask us to create a exponential function. A exponential function is represented by a equation like this

[tex]y = ab {}^{x} [/tex]

where a is the vertical stretch, b is the constant rate of growth, and x is the nth exponet.

Using the point 0,2

we can plug that in to find a part of the equation above.

let x=0 and y=2

[tex]2 = ab {}^{0} [/tex]

[tex]b {}^{0} = 1[/tex]

[tex]2 = a \times 1[/tex]

[tex]a = 2[/tex]

Let update the equation now since a equal 2

[tex]y = 2b {}^{x} [/tex]

Now let use point 2,8 to find the b value

let x=2 and y=8

[tex]8 = 2b {}^{2} [/tex]

Divide both sides by 2

[tex]4 = {b}^{2} [/tex]

take the sqr root of 4

[tex]b = 2[/tex]

Let update the equation

[tex]y = 2(2) {}^{x} [/tex]

WILL GIVE BRAINLEST
The cafeteria at school offers pizza with thick (K) or thin (N) crust and with pepperoni (P), sausage (S), or extra cheese (E). The tree diagram for the offerings is shown below.


What is the probability, as a fraction, that a student will choose a thick crusted pizza with either pepperoni or sausage?

Answers

Answer:

1/3 chance that you will choose a pizza Witt a thick crust and have topping of either pepperoni or sausage

how to solve for x???

Answers

Answer:

B) [tex]10\sqrt{3}[/tex]

Step-by-step explanation:

So basically it's divided into 3 similar triangles and using ratios we can try to find x

long side/short side = long side/short side

(20)/(x) = (x)/(15)

[tex]x^{2}[/tex] = 300

x =  [tex]10\sqrt{3}[/tex]

I really hope I didn't make that too complicated-

Which is the graph of y= 3/4x -3 ?

Answers

Answer:

The one farthest to the right, graph A.

Step-by-step explanation:

-6(m – 2) = 30

i need to show work , someone help

Answers

Answer:

-6m+12=30

-6m=18

m=-3

Step-by-step explanation:

Answer:

m = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

-6(m - 2) = 30

Step 2: Solve for m

[Division Property of Equality] Divide -6 on both sides:                              m - 2 = -5[Addition Property of Equality] Add 2 on both sides:                                  m = -3

What is the slope of the line?

Answers

Answer:

1

Step-by-step explanation:

[tex]\frac{rise}{run}=slope[/tex]

[tex]\frac{1}{1} =1[/tex]

therefore the slope is 1

plz mark me brainliest. :)

Answer:

y = x + 5

1 would be the slope AKA m

Step-by-step explanation:

y = mx + b

mx is change of y to the change in x.

m is the slope

As you can see in the problem above, everytime y moves up 1, x moves to the right 1.

b is the y intercept - where is y when x is at 0?

This will help you find the slope of future problems hopefully. :)

help me pls ❤️❤️❤️ ty to the person who decides to help ❤️

Answers

Answer:

8/5

Step-by-step explanation:

this is a slope formula which formats y=mx+b

m being the slope

and b being the y-intercept

so no need to look far, and no need to solve anything but 8/5 would be your y-intercept

:)) have a great day!

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