I need help with matching the variable to its correct length​

Given:

Endpoints of a line segment EF are E(-3,8) and F(7,-7).

Point  P divides the segment EF such that EP:PF = 2:3.

To find:

The coordinates of the point P.

Solution:

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

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

It is given that EP:PF = 2:3. It means the point P divides the segment EF in 2:3.

Using section formula, we get

[tex]P=\left(\dfrac{2(7)+3(-3)}{2+3},\dfrac{2(-7)+3(8)}{2+3}\right)[/tex]

[tex]P=\left(\dfrac{14-9}{5},\dfrac{-14+24}{5}\right)[/tex]

[tex]P=\left(\dfrac{5}{5},\dfrac{10}{5}\right)[/tex]

[tex]P=\left(1,2\right)[/tex]

Therefore, the coordinates of the point P are (1,2).

Answer:

y = -5/3x + 13/3

Step-by-step explanation:

(-1, 6) and (5, -4).

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 6) / (5 - (-1))

Simplify the parentheses.

= (-10) / (5 + 1)

= (-10) / (6)

Simplify the fraction.

-10/6

= -5/3

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -5/3x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (5, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -5/3(5) + b

To find b, multiply the slope and the input of x(5).

-4 = -25/3 + b

Now, add 25/3 to both sides to isolate b.

-4 ⇒ -12/3

-12/3 + 25/3 = 13/3

13/3 = b

Plug this into your standard equation.

y = -5/3x + 13/3

This is your equation.

Check this by plugging in the other point you have not checked yet (-1, 6).

y = -5/3x + 13/3

6 = -5/3(-1) + 13/3

6 = 5/3 + 13/3

6 = 18/3

6 = 6

Your equation is correct.

Hope this helps!

Answer:

Step-by-step explanation:

The slope-intercept form of a linear equation is:

y

=

m

x

+

b

Where

m

is the slope and

b

is the y-intercept value.

For this problem we are told:

m

=

−

7

b

=

6

Substituting these values into the formula gives:

y

=

−

7

x

+

6

Answer:

[tex]12g+44h[/tex]

Step-by-step explanation:

Step 1: Rearrange terms

[tex]4(11h+3g)\to4(3g+11h)[/tex]

Step 2: Distribute

[tex]4(3g+11h)\to12g+44h[/tex]

Answer:

44h+12g

Step-by-step explanation:

Okay, so, this a standard algebraic expanding problem, so:

We take our 4(11h + 3g)

because we have parenthesis, we have to distribute the 4:

4 x 11h + 4 x 3g = 44h + 12g

So, 4(11h + 3g) expanded is 44h + 12g

hope this helps:)

Answer:

175/2.5=70

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You are right becuase thats mainly were the cluster is.

Answer: In percentage, the answer is 115%

Step-by-step explanation: if you want to find the rise, just simply divide 5500 from 6325, or 6325/5500. You will get 1.15 but converted to percentage, that is 115%

Answer:

The distance between the two points is 10.3

Step-by-step explanation:

To find the length of the line joining the two points, we are going to use the distance formula

Mathematically, we have this as;

D = √(y2-y1)^2 + (x2-x1)^2

From the question;

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

(x2,y2) = (2,-5)

Thus, we have it that;

D = √((-5-4)^2 + ((2-(-3)^2

D = √81 + 25

D = √(106)

D = 10.3

120 ÷ ( 3 + 5 ) = 120 ÷ 8 = 15

15 × 3 = 45

15 × 5 = 75

_________________________________

Answer:

15:75

Step-by-step explanation:

120 = 3x plus 5x

120 = 8x

120/8 = x

x = 15

3*15 = 45 and 5*15 = 75

Answer:

i think it is 90

Step-by-step explanation:

remember the line is srait

The number of years value isn't given, we could use an hypothetical value, which can be substituted for the correct number of years given in your exercise in other to find the exact answer.

Using a t value of 10 years

Answer:

651558

Step-by-step explanation:

Given that:

Initial population, P0= 400,000

Growth rate, r = 5%

Using the relation :

P(t) = P0 * (1 + r)^t

t = number of years = 10

P(10) = 400000 * (1 + 0.05)^10

P(10) = 400000 * (1.05)^10

P(10) = 400000 * 1.628894626777

P(10) = 651557.8507

= 651558 nearest whole number.

Recall that, the t value used is hypothetical and should be replaces with te exact value given in your question.

Answer:

Hola que hace

:I

Step-by-step explanation:

Answer:

It seems that you are trying to find the length of hair of Florencia on Tuesday.

Given that length of the hair of Florencia on Monday = h centimeters

On Tuesday, she got hair cut.

So new length of the hair of Florencia on Tuesday = 75% of Monday value

= 75% of (h)

= 0.75* (h)

= 0.75h

Hence final answer is the length of the hair of Florencia on Tuesday is ( 0.75h ) centimeters.

Answer:

3/4h and 0.75h

Step-by-step explanation:

khan

Answer:

the number is 13

Step-by-step explanation:

13+8=21

Answer:I think it means that a number plus 8 is 21? or possibly multiplied?

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

by elimanation,cimparison or substitution you wull get the value of x=-60/17 and y=6/17

Respuesta:

416

Explicación paso a paso:

El Área de la habitación:

Largo * ancho

Longitud = 15 pies

Ancho = 12 pies

Área de la habitación = Largo * Ancho

Área de la habitación = 15 pies * 12 pies

Área de la habitación = 180 pies²

Conversión del área de la habitación en patio²

Dividir el área en pies² por 9

180 pies² ÷ 9 = 20 yardas²

Costo de la alfombra por yarda cuadrada = 20.80

Costo total de la alfombra = 20.80 * 20 = 416

Answer:

A

Step-by-step explanation:

We can solve this problem by eliminating wrong answers

It can be b because there is no 3

It can be c because the equation would be 4+3

And it can be d because the equation would be 3x+4

so it must be a

Answer:

option A is correct

as additional page costs is not fixed so there will be any value of x with multiply by 4

and the fixed remain only one time so it remains fixed and 3 is also fixed.

Answer:-170

Step-by-step explanation:as you can see it is going in a pattern from the negative ok thanks.

Answer:

19.7

Step-by-step explanation:

a^2+b^2=c^2

so 18^2+8^2=x^2

324+64=388

x is about 19.7

Answer:

x= −20

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(x+9)=33

Step 1: Simplify both sides of the equation.

−3(x+9)=33

(−3)(x)+(−3)(9)=33(Distribute)

−3x+−27=33

−3x−27=33

Step 2: Add 27 to both sides.

−3x−27+27=33+27

−3x=60

Step 3: Divide both sides by -3.

−3x −3 = 60 −3 x=−20

Answer:

x=−20

Hope this helps! :)

Answer:

x=-20

Step-by-step explanation:

−3(x+9)=33

Divide both sides by -3

-3(x+9)/-3=33/-3

simplify;

-3(x+9)/-3

Divide the numbers:3/3=1

=x+9

Simplify 33/-3

=-33/3

Divide the numbers 33/3

=-11

x+9=-11

Subtract 9 from both sides

x+9-9=-11-9

Simplify;

x=-20

Helped by none other than the ONE and ONLY #QUEEN aka #DRIPPQUEENMO!

9514 1404 393

Answer:

  A, B, D

Step-by-step explanation:

The "opposite" of a number is that number with its sign changed.

__

Answer:

The "opposite" of a number is that number with its sign changed.

Answer:

[tex] \frac{6}{8} \\ \\ \\ \frac{2}{8} [/tex]

Answer:

nine dollars and 27 cents

Step-by-step explanation:

if u minus 14.50 minus 5.25 u get 9.27 9 dollars and 27 cents

Yw!

Answer:

9.25

Step-by-step explanation:

subtract 5.25 from 14.50

Answer:

the answer is 2.25

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

Answer:

This would be discrete

Hope this helps

Answer:

the amount of cereal in a box

the amount of milk in a milk carton

the amount of space inside a van