Find the values of x and y in the diagram. ​

Given:

The point [tex]P\left(\dfrac{3}{4},\dfrac{5}{12}\right)[/tex] divides the line segment joining points [tex]A\left(\dfrac{1}{2},\dfrac{3}{2}\right)[/tex] and [tex]B(2,-5)[/tex].

To find:

The ratio in which he point P divides the segment AB.

Solution:

Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Let point P divides the segment AB in m:n. Then by using the section formula, we get

[tex]\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)[/tex]

[tex]\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}[/tex]

[tex]\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}[/tex]

Multiply both sides by 4.

[tex]3(m+n)=2(4m+n)[/tex]

[tex]3m+3n=8m+2n[/tex]

[tex]3n-2n=8m-3m[/tex]

[tex]n=5m[/tex]

It can be written as

[tex]\dfrac{1}{5}=\dfrac{m}{n}[/tex]

[tex]1:5=m:n[/tex]

Therefore, the point P divides the line segment AB in 1:5.

Answer:

3 players

Step-by-step explanation:

So, all you have to do is multiply 27 by 1/9 to get 3. Or, you could try figure out what number needs to be multiplied by 9 to get 27, which is also 3.

Answer:

27 1/4

Step-by-step explanation:

Answer:

27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

3 - 6(z - 2)

z = -2

Step 2: Evaluate

By substituting value of z = - 2 in 3 - 6(z - 2), we get :

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6((-2) - 2)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6(-2 - 2)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6(- 4)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 + 24[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 27[/tex]

[tex] \large \underline{\boxed{\bf{ 3 - 6(z - 2) = 27}}}[/tex]

Hence, value of 3 - 6(z - 2) = 27.

Answer:

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

Step-by-step explanation:

Una recta que es perpendicular a la pendiente de una ecuación es la recíproco negativo. de l

a ecuación original.

Primero, este problema está en forma estándar, así que conviértalo a la forma de intersección de pendiente

[tex]3x + y - 9 = 0[/tex]

[tex]3x + y = 9[/tex]

[tex]y = 9 - 3x[/tex]

[tex]y = - 3x + 9[/tex]

Ahora encuentre el recíproco negativo de la pendiente que es -3x

[tex] \frac{ - 3}{1} [/tex]

[tex] - ( - \frac{3}{1} [/tex]

[tex] \frac{1}{3} [/tex]

La pendiente es 1/3, así que sepa que introduzca 0 para nuestro valor X para encontrar nuestro valor y

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

[tex]y = \frac{1}{3} (0)[/tex]

y=0

0,0

Answer:

43.96 cm

Step-by-step explanation:

Given

diameter (d) = 14 cm

Circumference (C)

= πd

= 3.14 * 14

= 43.96 cm

Answer:

root(x+6) +3

Step-by-step explanation:

so you see that it is moved 2 left and 5 up

so root (x+6) +3

Answer:

18

Step-by-step explanation:

5d/9=10

5d=10*9

5d=90

d=90/5

d=18

Answer:

15, A

Step-by-step explanation:

(0,6) (9,-6)

distance formula =

[tex]d= \sqrt{(x_2-x_1)²+(y_2-y_1)² }[/tex]

lets put our numbers

[tex]d= \sqrt{(0 - 9)²+(6+ 6)² }[/tex]

so answer will be = 15, A

Answer:

x = 70

Step-by-step explanation:

As the problem states, ∠ABD and ∠DBC are supplementary angles. This means they have a sum of 180°. Since we know this, we can set up an equation to solve for x.

x + 110 = 180

x = 70

Answer:

y=6x+2

Step-by-step explanation:

y=mx+b

-the y and x are variables and your going to want to leave them that way.

-m is the slope

-b is the y-intercept

after plotting your points and drwaing a line through them you get your final equation

Answer:

(a)(b)=0.45

a/b=0.8

Step-by-step explanation:

a=0.6

b=0.75

(a)(b)=(0.6)(0.75)=0.45

a/b=0.6/0.75=0.8

Answer:

a*b =  0.5

a/b =  0.888...

Step-by-step explanation:

0.6666... = 2/3

a*b = 2/3 * 3/4 = 1/2 = 0.5

a/b = (2/3) / (3/4) = 8/9 = 0.888...

Answer:

42-a²+ab

42-6²+6×5

42-36+30

6+30

36.

Answer:

36

Step-by-step explanation:

Its 36 because normally someone would do 18+20=38 but you have to remeber in the problem it says 37! so 2 people didn't want anything, minus that and you get 36.

Answer:

0.0451

Step-by-step explanation:

Answer:

451/10000 or 0.0451 in decimal form

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

(This is technically a personal opinion question) In MY opinion all government run things from libraries to schools to the military come from taxes. If you don't agree with how the government spends the money that you pay in taxes yet enjoy/use government facilities then you have no room to complain and not pay your taxes.

Answer:-111

and -99

Step-by-step explanation:

Answer:

-111 and -99 ( in order)

Step-by-step explanation:

Have a great day!

Answer:

KM=LN  Given

KM=KL+LM  Segment Addition Postulate

LN=LM+MN  Segment Addition Postulate

KL+LM=LM+MN  Substitution Property of Equality

KL=MN  Subtraction Property of Equality this is the formula :)

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

3/(3+x-6)=5/(5+x)

cross multiply

3(5+x)=5(3+x-6)

15+3x=15+5x-30

15+3x=5x-15

15+15=5x-3x

30=2x

x=15

That means KQ=15 and PK=15-6=9.  Now we have to find PQ, which is the same as JM.  We’ll call that length b.

5/15=6/b

cross multiply

5b=90

b=18

15+9+18=42

Answer:

B) 10-6x is the answer ...

Answer:

Step-by-step explanation:

El derecho a la educación es un derecho humano que tiene como finalidad establecer una educación primaria para todos los niños y niñas, desarrollar una educación secundaria accesible progresivamente a todos los niños y niñas y el acceso a la educación superior en función de los méritos.