The graph shows a line and two similar triangles.

What is the equation of the line?

A. Y=3/2x
B. Y=2/3x
C. Y=3x
D. Y=2x​

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[tex]\huge\underline{\tt{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶- 3(5x + 6) - 3x = 6 - 6x}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶(-15x - 18) - 3x = 6 - 6x}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶( - 15x - 3x)- 18 = 6 - 6x}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶( - 18x)- 18 = 6 - 6x}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶( - 18x) + 6x = 6 + 18}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶-12x = 24}[/tex]

[tex]\quad\quad\quad\quad\tt{⟶\frac{-12x}{-12} = \frac{24}{-12} }[/tex]

[tex]\quad\quad\quad\quad\tt{ ⟶\frac{ \cancel{ \red{-12}} \: x}{ \cancel{ \red{-12}}} = \frac{24}{-12} }[/tex]

[tex]\quad\quad\quad\quad ⟶\boxed{\tt{x = -2}}[/tex]

[tex]\huge\underline{\tt{\red{Answer:}}}[/tex]

[tex] \huge\quad\quad \underline{\red {\boxed{ \tt{x = -2}}}}[/tex]

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#CarryOnLearning

✍︎ C.Rose❀

Step-by-step explanation:

50÷75 is .6667. that means that 50 is 66.7 percent of 75.

100 minus 66.7 is 33.3. It is a 33.3 percent change

Answer:

-25%

Step-by-step explanation:

hope this helps!! please mark brainliest.

Answer:

caca

Step-by-step explanation:

caca

Answer: First secutitys at my school dont even have nothing but a walkie talkies in there hands but I will say this we have cops walking around inside of our school and there all armed up because obvisouly their cops so i would think not security should not have a fire arm because what happens if a old lady a securrityguard she cant move fast so I think not they would have to deal it with by hand and there walkie talkies.

Step-by-step explanation:

Answer:no because they might be part of a crime and shoot up the school like boom bang bin bot pow and 500 people drop dead like me in the bed room.

Step-by-step explanation:

Answer:

$20070

Step-by-step explanation:

Given data

Time= 5 years

Principal= $15,000

Rate= 6%

Total amount=  P (1 + i)^t

substitute

Total amount=  15000(1 + 0.06)^5

Total amount=  15000 (1.06)^5

Total amount=  15000*1.338

Total amount=  $20070

Hence the total amount will be $20070

Answer:

Im sorry never did this before

Answer:

52cm^2

Step-by-step explanation:

I did the splitting in my head and that's pretty hard to explain like this so, just BTW if your confused on where I got my lengths from.

(7*6) + (5*2)

(42) + (10)

52

I separated them into an almost square and a rectangle, then I found the area of each rectangle and then added them together.

Hopefully this was useful and you didn't have any issues with this!

Answer:

-14x+6

Step-by-step explanation:

we distribute -3 in to get:

-12x+6-2x

Combine like terms

-14x+6

Answer:

the answer should be 9, im not sure tho I vaguely remember this

Answer:

[tex]8^{-5}[/tex]

Step-by-step explanation:

[tex](8^{-8})(8^3)\\8^{-5}[/tex]

Exponent equation:

3 - 8 = -5

So this the remaining exponent

Answer:

6647

Step-by-step explanation:

The computation of the advertising revenue for 15 years is shown below:

Given that

r(t) = -18t^2 + 720t - 103

where

t = number of years = 15

now put the value of t in the above equation

= -18(15)^2 + 720(15) - 103

= -4050 + 10,800 - 103

= 6647

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2/125

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

16/1,000

Understanding place values:

The first 0 before the decimal point in 0.016 represents ones, the 0 after the decimal point represents tenths, the 1 represents hundredths and the 6 represents thousandths. We use 1,000 in our fraction because of the place value.

Step-by-step explanation:

1. Convert 0.016 into a fraction:

   0.016 = 16/1,000

2. Simpilfy the fraction 16/1,000:

   16/1,000 ÷ 8 = 2/125

2/125 is equivalent to 0.016

Side Note: Step 2. is only for people looking for the simplified answer!

            ~Hope this helps!

           ~Hocus Pocus

Answer:

....

Step-by-step explanation:

Answer: 1, 2, 3, 4.

Step-by-step explanation: When you count to five, the numbers that are listed above, (1, 2, 3, 4) are the right answers

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept

1) Determine the slope (m)

To find the slope, take two points from the table, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] and plug them into the following equation to solve for m:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug m into [tex]y=mx+b[/tex] .

2) Determine the y-intercept (b)

Take any point given in the table and plug them into [tex]y=mx+b[/tex] (along with the slope that you solved for earlier) as [tex](x,y)[/tex]. Solve for b. Plug b back into [tex]y=mx+b[/tex] along with the slope.

I hope this helps!

Answer:

57

Step-by-step explanation:

57 is 95% of 60

(See image below for more information)

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Answer:

9x³-9x²+2x

Step-by-step explanation:

Let the expression be given as

(2-3x)(x-3x²)

Expand

= 2(x)-2(3x²)-3x(x)-3x(-3x²)

= 2x - 6x² -3x²+9x³

Rearrange

= 9x³-6x²-3x²+2x

= 9x³-9x²+2x

Hence the simplified form of the expression is 9x³-9x²+2x

Answer:

x²-8x+9

Step-by-step explanation:

Answer:

The answer is Prime

Step-by-step explanation:

Attached photo for proof

Answer:

hi

Step-by-step explanation:

6/1.5=4

is the scale factor for the smaller triangle to the bigger triangle

Answer:

6/1.5=4

Step-by-step explanation:

Answer:

32 inches^3

Step-by-step explanation:

Volume = 1/2 ( base x height x length)

0.5 ( 4 x 2 x 8) = 32 inches^3

Answer:

Step-by-step explanation:

The point-slope form of equation of function passing the point (x₀,y₀) where m is the slope  is:  y - y₀ = m(x - x₀)  

m = -3

(1, 2)     ⇒    x₀ = 1,    y₀ = 2

y - 2 = -3(x - 1)

Answer: Buying the 5 tickets to the next hockey game is better because the unit price is only 16$

Step-by-step explanation:

80 / 5 = 16

50 / 3 = 16.666

Answer:

4x20= n

n= 80

.............

Answer:

n = 80

Step-by-step explanation:

n ÷ 4 = 20

n = 4 × 20

n = 80

Answer:

No, y+7=2x does not represent direct variation

Step-by-step explanation:

No, y+7=2x does not represent direct variation, because of the constant (initial value) 7.

y = 2x represents direct variation; y = 2x - 7 does not.

Answer:

8(2-4y)+5y(6-3)

16-32y+30y-15

16-2y-15

16-15-2y

1-2y

An area that is 20 feet wide and 25 feet long will be 20*25 = 500 square feet large. Division tells us how many times one number is contained within a number, so to find how many 2.5 square feet large people fit in a 500 square feet large space, we do 500/2.5 = 200 people.

Answer:

y = 2x - 22

Step-by-step explanation:

y = 2x + 1

Parallel slope: 2

(7, -8)

y - y1 = m(x - x1)

y + 8 = 2(x - 7)

y + 8 = 2x - 14

y = 2x - 22

Answer:

Solution given:

equation of line 1 is:

y=2x+1

2x-y+1=0.......[1]

slope of line 1 is

m1=[tex] \frac{ -coefficient \:of\: x }{coefficient\: of \:y} [/tex]

[tex] \frac{ - 2}{ - 1} = 2[/tex]

Since the lines are parallel than slope of another line m2=m1=2

It passes through (x1,y1)=(7,-8)

equation of a line is:

is a required equation of a line in slope intercept form.