MARK BRAINLEST

Find the equation of the line passing through the points (2, 4) and (3, 2).


Y = [?]x + [?]

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    24*x-8*y-(72)=0

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  24x - 8y - 72  =   8 • (3x - y - 9)

Equation at the end of step

1

:

STEP

2

:

Equations which are never true:

2.1      Solve :    8   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2     Solve   3x-y-9  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3x-y-9  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 9/-1 so this line "cuts" the y axis at y=-9.00000

 y-intercept = 9/-1  = -9.00000

Calculate the X-Intercept :

When y = 0 the value of x is 3/1 Our line therefore "cuts" the x axis at x= 3.00000

 x-intercept = 9/3  =  3

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -9.000 and for x=2.000, the value of y is -3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.000 - (-9.000) = 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

    Slope     = 3

Geometric figure: Straight Line

 Slope = 3

 x-intercept = 9/3 = 3

 y-intercept = 9/-1 = -9.00000

Answer:

1/2 * (5+3) * 6 = 24 cm^2

Step-by-step explanation:

Perimeter is 20

and it's a rectangle so 2x + 12= 20

x is 4 so one of parallel side of trapezium is 9-4 or 5 then just apply formula for area of trapezium

The area of the trapezium is [tex]60cm^{2}[/tex]

'A trapezium is a quadrilateral, which is defined as a shape with four sides and one set of parallel sides.'

According to the given problem,

AB = FC = 6cm

Perimeter of ABCF = 20cm

CB = FA

⇒ 20 = 6 + 6 + CB + CB

⇒ 8 = 2CB

⇒ CB = 4

Base 1 = CF = 6cm

Base 2 = DEDE = DB + BA + AEDB = AEDE = 9 + 6 + 9 = 24

Area = [tex]\frac{1}{2} * ( a + b ) * h[/tex]

h = 4a = Base 1 = 6b = DE = 24

Area of trapezium CDEF=[tex]\frac{1}{2}* (6+24)*4[/tex]

= [tex](2*30) cm^{2}[/tex] = [tex]60 cm^{2}[/tex]

Hence, we can conclude that the area of the trapezium is 60cm ².

Learn more about area of trapezium here: https://brainly.com/question/13454156

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Answer:

Concept: Combining terms

Answer:

12y

Step-by-step explanation:

6y-2y=4y

4y+8y=12y

pick me as brainliest

Answer:

Transitive

Step-by-step explanation:

If A = B and B = C then A = C

Transitive

(D)  [tex]g(x)=(x-4)^{2}[/tex]

Therefore, the correct equation for the blue graph is [tex]g(x)=(x-4)^{2}[/tex].

Know more about the Graphs here:

https://brainly.com/question/4025726

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Answer:

-12

Step-by-step explanation:

Mark as Brainliest.

Because I am Indian and solving your question from India.

Answer:

7.80 would be your answer. because 78 is closer to 80 than 70.

Step-by-step explanation:

ghdjfbwkj dwjfjwngjm34klyke4rk

Step-by-step explanation:

7/n=4)7

n=4/41

n=1.25

plzz mark me brainliest if it helps you

Answer:

would that be 31 if if im  wrong im  just nine                          Step-by-step explanation:

Answer:

let the third proportion be x.

then 8,12 and x are in proportion

then 8:12=12:x

8x=12×12

x=144/8=18

Step-by-step explanation:

Answer:

14 min

Step-by-step explanation:

9514 1404 393

Answer:

  y = 4x² -19x -5

Step-by-step explanation:

Put the numbers into an appropriate tool and see what it tells you. The Desmos graphing calculator says the equation is ...

  y = 4x² -19x -5

Answer:

572557486637778886367828766664728274747447378328288273

Answer: $11.52 left for each student

Step-by-step explanation:

First, divide the total amount of money spent by the total amount of students. 170.64/18. You will get $9.48. So, that means that so far Mr. Chang has spent $9.48 on each student. Then, just subtract $9.48 from $21 (which is the total amount he is willing to spend on each student. You should get $11.52. So, Mr. Chang has $11.52 left to spend on each student. Hope this helps!

Answer:

The number of children = x = 173

The number of Adults = y = 201

Step-by-step explanation:

Let the number of children = x

The number of Adults = y

Charge per child = $3

Charge per Adult = $5

Total number of tickets sold = 374

Amount raised = $1524

System of Equations

x + y = 374..... Equation 1

x = 374 - y

3x + 5y = 1524....Equation 2

We solve this question using substitution method

We substitute 374 - y for x in Equation 1

3(374 - y) + 5y = 1524

1122 - 3y + 5y = 1524

- 3y + 5y = 1524 - 1122

2y = 402

y = 402/2

y = 201

Solving for x

x = 374 - y

x = 374 - 201

x = 173

Hence:

The number of children = x = 173

The number of Adults = y = 201

Answer:

7. Positive

8. negative

9. undefined

10. undefined

Step-by-step explanation:

Answer:

1) positive 2) negative 3) zero 4) zero

I think :3

Step-by-step explanation:

Answer:

yes they are.

Step-by-step explanation:

if you were to divide the numbers in the first triangle by 2.5 you would get the numbers of the other triangles and vice versa for the other triangle

Answer:

38 deg

Step-by-step explanation:

Angles A and M are corresponding angles of congruent triangles, so they are congruent.

m<A = m<M = 38 deg

Answer:

0,1,2,3 is the domain

-2,1,2,4 is the range

Answer:

5 and 11

Step-by-step explanation:

Answer:

ab - 2ac + cb

Step-by-step explanation:

This expression cant be simplified

Answer:

1=a4+3

Step 1: Subtract a^4+3 from both sides.

1−(a4+3)=a4+3−(a4+3)

−a4−2=0

Step 2: Add 2 to both sides.

−a4−2+2=0+2

−a4=2

Step 3: Divide both sides by -1.

−a4

−1

=

2

−1

a4=−2

Step 4: Take root.

a=±(−2)(

1

4

)

Answer:

No real solutions.

Answer:

[(1.2).(2,3), (3,4),(4.5))

Step-by-step explanation:

once reversed, no x-values repeat therefore these ordered pairs would represent a function.

hope this helped!

The last set of ordered pairs, [tex]\{(1.2),(2,3), (3,4),(4.5)\}[/tex], would still be a function even if its  x- and y-coordinates where reversed.

Reversing the x- and y-coordinates is like finding the inverse relation.

An inverse relation will be a function if the original function were one-to-one. The only set of ordered pairs that satisfies this condition is

[tex]\{(1.2),(2,3), (3,4),(4.5)\}[/tex]

The other options are many-to-one relations. On reversing their  x- and y-coordinates, they each become one-to-many relations. All functions are either one-to-one, or many-to-one.

So, the answer is the last set of ordered pairs [tex]\{(1.2),(2,3), (3,4),(4.5)\}[/tex]

Learn more about functions and relations here: https://brainly.com/question/2253924

Answer:

limited

Step-by-step explanation:

Answer:

240 hours

Step-by-step explanation:

1 week = 20 hours

12 weeks = 20 × 12

= 240 hours

Answer: choices for the number in hundreds place =  7 , 8, 9,0

Step-by-step explanation:

Given: Dinesh wrote a number greater than 4699 and less than 5100.

Numbers greater than 4699 = 4700, 4701,.....

Numbers less than 5100 = 5099, 5098 , .....

From 4700 to 5099 , the possible values for hundreds place = 7 , 8, 9,0

So, the choices for the number in hundreds place =  7 , 8, 9,0

Answer:

island C

Step-by-step explanation:

island C is 14 units away from island A, whereas island B is 20 units away

hope this helps!! :)