Find a point that lies on the line defined by
3x + 6y = 2

Answer:

Step-by-step explanation:

[tex]\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

(5, -10)    ⇒   x₁ = 5,  y₁ = -10

(12, -17)    ⇒   x₂ = 12,  y₂ = -17

So the slope:

                    [tex]\bold{m=\dfrac{-17-(-10)}{12-5}=\dfrac{-7}7=-1}[/tex]

answer:

18 - 3 should be done first.

step-by-step explanation:

this should be done because of PEMDAS. the rule states that between addition and subtraction, you have to go from left to right. therefore, 18-3 comes first when going from left to right.

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Answer:

Step-by-step explanation:

Given (12^13–12^12+12^11)(11^9–11^8+11^7),

(12^13–12^12+12^11)(11^9–11^8+11^7) =

[(12^12)12 – 12^12 + 12^11][(11^8)11 – 11^8 + 11^7)

[(12^12)(12 – 1) + 12^11][(11^8)(11 – 1) + 11^7] =

(12^12(11) + 12^11)(11^8(10) + 11^7) =

(12^11(12x11) + 12^11)(11^7(11x10) + 11^7) =

[(12^11)(12x11 + 1)][(11^7)(11x10 + 1)] =

[(12^11)x(11^7)](12x11 + 1)(11x10 + 1) =

[(12^11)x(11^7)](133 x 111) =

[(12^11)x(11^7)](133 x 111) =

[(12^11)x(11^7)](14763) =

[(12^11)x(11^7)](3x7x19x37)

From here, it is clear that the given number is divisible by 3, 7, 19 and 37.

Answer:

total cost = 3x+50. x represents how many times they use the gym

Step-by-step explanation:

Step-by-step explanation:

I don't know if this is the right way to so it, but I would do it like this

since a triangle has 180 degrees, the angles all have to add up to 180

So 180 = a + b + c

we already know a, its 95

So 180 = 95 + b + c

now we know the equation for b, so we'll just put it there instead of the b, and since the angles are the same, we should put it instead of c too

180 = 95 + (4x-15) + (4x-15)

now subtract 95 from both sides

85 = (4x-15) + (4x-15)

add the xs and numbers together

85 = 8x - 30

now add the 30 to both sides

115 = 8x

divide by 8

your x is 14 3/8 or 14.375 or 115/8

that's not your angle, that's your x

Answer:

7

Step-by-step explanation:

the answer is 7 all sides are equal to 7

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Each Y value has its reprective x value and vise versa

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Answer:

840

Step-by-step explanation:

I got the answer from Hegarty

There are different 4-digit PIN codes are there that only include the digits 3, 4, 6, 7, 9 and 2.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Numbers to make 4 - digit PIN codes are,

⇒ 3, 4, 6, 7, 9 and 2.

Now,

Since, There are 6 number to choose to make 4 - digit PIN codes.

Hence, Number of different choices to make 4 - digit PIN codes is,

⇒ [tex]^6P_{4} }[/tex]

⇒ 6! /  (6-4)!

⇒ 6! / 2!

⇒ 6 × 5 × 4 × 3 × 2! / 2

⇒ 360

Thus, There are 360 choices to make 4 - digit PIN codes.

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The correct answer is 22

9514 1404 393

Answer:

  6 : 5

Step-by-step explanation:

The diagram shows you that the boxes have a length (L) to width (W) ratio such that ...

  3L = l = 4W

  L/W = 4/3

Suppose we call the width of the box 3 units, then its length is 4 units, and we have the crate dimensions ...

  l = 4(3) = 3(4) = 12

  w = 3+3+4 = 10

Then the ratio l : w is 12 : 10 = 6 : 5.

Step-by-step explanation:

AB = 72 so, then FB would be half of that

so 72 divided by 2 would be 36

5x+1=36 then do substitution

-1 from both sides (from +1 you gotta do the inverse)

5x = 35

divide 5 from both sides because in between 5 and x is a times so the inverse of that is divide

x = 7

Answer:

$286

Step-by-step explanation:

220:100=2.2

2.2 x 30 = 66

220+66=286

Option A is correct, (185 - x) = 76 equation can be solved to find x, the measure of 2

Two or more expressions with an Equal sign is called as Equation.

We have to find the equation can be solved to find x, the measure of z in the diagram below

The arc measure of TS is 185 degrees in the circle

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

We use the equation to find the measure of z

(185 - x) = 76

Hence, option A is correct, (185 - x) = 76 equation can be solved to find x, the measure of 2

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Answer:

Okay so I’m gonna do a few and list a few examples

In slope intercept form its

y=mx+b

Y= Random Y coordinate (Not that important for now while writing)

m= Slope

X= random x coordinate (not that important for now while writing)

b= Y intercept

SO basically plug it in like that so for the first one

the slope is 1/3  and y-intercept is -1

so

y=1/3x-1

And thats how you do it

leave the y and x

Graphing

So for graphing or fining the equation, first identify the y-intercept

The y-intercept is on the y axis (obviously), and its the number where the line first hits, so for the first one, the y intercept is 3 becuase thats where the first line meets on the Y axis. When identified start doing rise over run, lik just go up and right, if there is no space, dot he opposite, go down and go left or right (depends if the line is rising or falling, you can tell if rising (positive) if the line goes from down to up form left to right , if falling (negative) vice versa, up to down from left to right). And just write the equation after identifying the slope And y-intercept, the x and y don’t matter.

4) y= -1/3x+3 (watch your signs, if falling the slope is automatically negative)

5) y=1/2x+1

6) y=4x-5 (negative y-intercept due to the part where the y meets up with the line, its in the negative side)

(remember to write these equations on the top side of the line

Answer:

Grace's brother has $47.

y-y1 = m(x-x1) — point-intercept form

Given both x1 and y1 = coordinate point.

First​ we have to find the slope by using rise over run. (y2-y1)​/(x2-x1)​ = m

The slope should be m = -4 then we substitute m-value in point-slope form.

y-y1=-4(x-x1) — new equation. After substituting slope in, we need to find the coordinate point that is part of the graph. You can use any points that are given in the picture. I will use point F or (5,0).

Then we substitute x1 = 5 and y1 = 0 in the point-slope form

y-0=-4(x-5) — point-slope form

y=-4x+20 — slope-intercept​ form..

How about we change to another coordinate point to substitute in? We can check if these points also give same equation (slope-intercept).

Let's substitute (4,4) in the equation.

y-4=-4(x-4)

y=-4x+16+4

y=-4x+20

Same answer. Meaning that all these points that are shown can be substituted in the equation and get the same slope intercept form.

Therefore, point-slope form for the graph can be

y-4=-4(x-4)

you can also change the coordinate point value.

Answer:

6 17/18

Step-by-step explanation:

You first find the common denominater and covert the fractions

4 8/18 + 2 9/18

Then add!

Answer: b

Step-by-step explanation: because its 50/50

Answer:

C 3.5.......

Step-by-step explanation:

Your welcome

Answer:

75%

increase

Answer:

part a: root2

part b: 4root11

Answer:

a) [tex]\sqrt{2}[/tex]

b) [tex]4\sqrt{11}[/tex]

Step-by-step explanation:

a) [tex]6\sqrt{2} - 5\sqrt{2}[/tex]

Taking √2 common ,

[tex]=> \sqrt{2} (6-5)[/tex]

[tex]=> \sqrt{2}[/tex]

b) [tex]\sqrt{11} +3\sqrt{11}[/tex]

Taking √11 common ,

[tex]=> \sqrt{11} (1 +3)[/tex]

[tex]=> 4\sqrt{11}[/tex]

Answer:

I think it's 30.1

Step-by-step explanation:

Since the hypothesis is always the longest side of the triangle

Answer:

41.06 ≈ 41.1

Step-by-step explanation:

cos 47° = 28 / x

x = 28 / cos 47° = 28/0.682 = 41.06

Answer:

3

Step-by-step explanation:

Answer:

Theres no equation here?

Step-by-step explanation:

Answer: 27

Step-by-step explanation: since the ratio is 1:3 u mutiply

1 by 9 which equals nine and then u multiply 3 by 9 and u get 27. This should be right I am sorry if it isn't.