What is the equation of the line in standard form?
x−6y=−9
3x−y=−6
x + 6y = 9
3x + y = 6

To map figure A onto figure B translation and dilation is used. The correct option is B.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

The process of changing the location of the image on the coordinate system will be known as the translation.

In the given image figure A is a parallelogram its size is increased or dilated and the figure is translated to the new location by using the translation.

Therefore, to map figure A onto figure B translation and dilation is used. The correct option is B.

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Answer:

= x+12

Step-by-step explanation

h Uu  e ouwe;come

Answer:

18 hours

Step-by-step explanation:

Let the number of hours used to represented by x

Gloria subscribes to the Webtime Internet Service. Webtime charges a $9.99 monthly service fee plus $1.50 per hour for Internet access.

Total bill = $9.99 + $1.50 × x

= 9.99 + 1.5x

Last month's bill was $ 36.99.

Hence,

9.99 + 1.5x = 36.99

Collect like terms

1.5x = 36.99 - 9.99

1.5x = 27

x = 27/1.5

x = 18 hours

The number of hours that Gloria used the Internet last month is 18 hours

Answer:

The student should have added 20 + 10 = 30 and then divide 30 by 3 to get 10 = 1/3 of 30 so the team won 2/3 or 66.6667%.

Step-by-step explanation:

Answer:

I only know how to do the LCM but thats it sorry

Step-by-step explanation:

I got this from the internet sorry if it dosen't help

LCM(84,90) = 1260

Answer:

HCF = 2 * 3

LCM = 2 *2 * 3 * 3 * 5 * 7

Step-by-step explanation:

A) 84 = 2 * 2  * 3 * 7

   90 =  2 * 3 * 3 * 5

HCF = 2 * 3

B) 84 = 2 * 2 * 3 *7

   90 = 2 * 3 * 3 * 5

LCM = 2 *2 * 3 * 3 * 5 * 7

Answer:

t=2

Step-by-step explanation:

16-2t=3/2t+9

you multiply everything with 2

32-4t = 3t+18

4t-3t=18-32

-7t=-14

t=2

Step 1: Minus the 16 from the 9

Step2: Multiply the 2t wirh the -2t.

Step 3: Divide -4 by -4

Answer: on the selected dots your answer should be that car 1 is traveling faster than car 2.

Answer:

44.93

Step-by-step explanation:

7.5 x 599 divided by 100 = 44.925 = 44.93

Answer:

The equation is: y=25x

Step-by-step explanation:

Linear Modeling

When two variables have a linear dependency, the relationship between them can be written as:

y=kx+b

Where k is the slope and b is the y-intercept. When b=0, then the relationship is called proportional, and the equation is:

y=k.x

For the question, we call y=grams of almond and x=cups of oats.

It's given for x=cups of oats, the recipe for trail mix calls for y=50 grams of almonds. Substituting into the equation:

50=k.2

Solving for k:

k=50/2=25

The final equation is:

y=25x

Note the point (1,25) is on the line, as required.

Answer:

he forgot to solve the -6  i hope thats right im srry if it isnt

Step-by-step explanation:

Answer:

-1=x

Step-by-step explanation:

They messed up on step 4. instead of -2x it should be -10x. When they switched -6 over to the opposite side they forgot to use the opposite symbol. They did 6-4 instead of 4+6.

Answer: 53

Step-by-step explanation:

[tex] \frac{3}{4} x + 11 - 5 \frac{1}{2} + \frac{1}{4} x[/tex]

[tex]( \frac{3}{4} x + \frac{1}{4} x) + (11 - 5 \frac{1}{2} )[/tex]

[tex] (\frac{3x}{4} + \frac{x}{4} ) + (11 + - \frac{11}{2} )[/tex]

[tex]( \frac{(3x + x)}{4} ) + ( \frac{22}{2} - \frac{11}{2} )[/tex]

[tex] \ \frac{4x}{4} + \frac{11}{2} [/tex]

[tex]x + \frac{11}{2} [/tex]

Answer:

19.5 is the exact form for 19 1/2 so minus 14 is 5.5 or 5 1/2 so your answer is 5 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

19 1/2 - 14 = 5.5

Answer:

B

Step-by-step explanation:

(x+7)(x+5)

Answer:

brainliest?

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

linear

Step-by-step explanation:

Answer:

It is linear.

Step-by-step explanation:

33 1/3 BTW i am from RSM too :)

33.33 lb of 90% cocoa cholcolate should be mixed.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: A baker has to mix 70% cocoa with 90% cocoa and he has 100 lb of the first chocolate.

let x lb of chocolate be mixed with 100 lb to give the 75 % chocolate variety

Thus, x×90%+100×70% / 90%+70% = 75%

         0.9x+70 /x+100=0.75

         0.9x+70=0.75x+75

           0.15x=5

                 x=33.33

Thus 33.33 lbs of 90% cocoa should be mixed to get 75% cocoa

Hence, 33.33 lb of 90% cocoa cholcolate should be mixed.

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Answer: 3.2 inches

Step-by-step explanation:

2.4

The median is the middle number.

1. Put the numbers in order from smalllest to greatest

2. Pick the middle number

Answer:

D or A I think

Step-by-step explanation:

These are the best choices

Answer: total number of teaspoons of spices in the dish =3.25 teaspoons

Step-by-step explanation:

Step 1

Listing the spices and their quantities , we have

Salt = 1/2 teaspoon

Orégano =1 1/4 teaspoon =5/4 teaspoons

Basil = 3/4 teaspoon

Pepper= in half as much pepper as salt -- This means that the quantity of pepper should be  50% more in quantity  than salt

Therefore quantity of pepper = 50% x 1/2 = 0.5 x 0.5= 0.25

0.25 +  1/2 = 0.25 + 0.5 = 0.75 = 3/4 teaspoon of pepper.

Step 2

Adding the amount of spices we have

1/2 + 5/4+ 3/4+ 3/4 = 2+ 5+3+ 3/4 = 13/4 = 3 1/4 teaspoons of spices  = 3.25 teaspoons of spices .

Answer:

Step-by-step explanation:

4x^2+3x+4x-1 add like terms

4x^2+7x-1

If you use the quadratic formula the answer is -7±√65 /8

Answer:

i think it might be the first or third one

Step-by-step explanation:

Answer:

-48

Step-by-step explanation:

12 x 4= 48 just add negative sign to 48.

Hope this helps :3

Answer:

-4(12) = -48

Step-by-step explanation:

Negative stay negative and 4 multiply by 12 is 48 from the multiplication table, therefore -4 multiply by 12 is -48.

P = 2200 + 60N

Step-by-step explanation:

I gotcha covered!

Answer:

Solving [tex]6(2 - x)<-4x + 2[/tex] we get [tex]\mathbf{x>5}[/tex]

Step-by-step explanation:

We need to find solution of [tex]6(2 - x)<-4x + 2[/tex]

Solving the inequality:

[tex]6(2 - x)<-4x + 2[/tex]

Multiply 6 with terms inside the bracket

[tex]12-6x<-4x+2[/tex]

Subtracting 12 on both sides

[tex]12-6x-12<-4x+2-12\\-6x<-4x-10[/tex]

Adding 4x on both sides

[tex]-6x+4x<-4x-10+4x\\-2x<-10[/tex]

Divide both sides by -2 and the inequality will be reversed i.e < will be changes to >

[tex]\frac{-2x}{-2}>\frac{-10}{-2}\\\mathbf{x>5}[/tex]

So, after solving [tex]6(2 - x)<-4x + 2[/tex] we get [tex]\mathbf{x>5}[/tex]

Answer:

a. v.v' = v₁v₂ -  v₁v₂ = 0 b.  (20, -21)/29 and  (-20,21)/29

Step-by-step explanation:

a. For two vectors a, b to be orthogonal, their dot product is zero. That is a.b = 0.

Given v = (v₁, v₂) = v₁i + v₂j and v' =  (v₂, -v₁) = v₂i - v₁j, we need to show that v.v' = 0

So, v.v' = (v₁i + v₂j).(v₂i - v₁j)

= v₁i.v₂i + v₁i.(- v₁j) + v₂j.v₂i + v₂j.(- v₁j)

= v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j

i.i = 1, i.j = 0, j.i = 0 and j.j = 1

So, v.v' = v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j  

= v₁v₂ × 1 - v₁v₁ × 0 + v₂v₂ × 0 - v₂v₁ × 1

= v₁v₂ - v₂v₁

=  v₁v₂ -  v₁v₂ = 0

So, v.v' = 0

b. Now a vector orthogonal to the vector v = (21,20) is v' = (20,-21).

So the first unit vector is thus a = v'/║v'║ = (20, -21)/√[20² + (-21)²] = (20, -21)/√[400 + 441] = (20, -21)/√841 = (20, -21)/29.

A unit vector perpendicular to a and parallel to v is b = (-21, -20)/29. Another unit vector perpendicular to b, parallel to a and perpendicular to v is thus a' = (-20,-(-21))/29 = (-20,21)/29