what is the slope of 10x + 5y = 30

Answers

Answer 1

Answer:

[tex]y=-2x+6[/tex]

So, the slope is -2.

Step-by-step explanation:

Solve the literal equation for y and use the slope value formed.

[tex]10x+5y=30\\5y=-10x+30\\\frac{5y}{5}=\frac{-10}{5}x+\frac{30}{5}\\y=-2x+6[/tex]

So, according to [tex]y=mx+b[/tex], the slope is -2 where m is the slope.

Answer 2

Answer:

i swear your going to give a head ack i told you the answer

Step-by-step explanation:


Related Questions

The table shows the worldwide box office (in billions of
dollars) for the movie industry during the years shown.
Year
2001
2003
2005
2007
2009
Box office
(in billions of dollars)
17.1
18.2
19.3
21.5
23.7
a. Write this paired data as a set of ordered pairs of
the form (year, box office).
What is the ordered pair that corresponds to the first
row of data given in the table?

Answers

Answer:

193 is it I'm not lying

Step-by-step explanation:

3/4 + -3.9 =
I NEED HELP

Answers

Answer:

-3.15

Step-by-step explanation:

3/4 converted to a decimal is .75 so .75 + -3.9 is -3.15

Hope this helps! <3

On a roll. Suppose that you roll a fair, 6-sided die 10 times. What's the probability that
you get at least one 6?
Tyne a responro
?

Answers

answer : 83.8%

The probability of not getting a 6 is found from

P(≠6) = 5/6

Do that 10 times

P(≠6) = (5/6)^10 = 0.1615

The probability of getting at least one 6 in 10 rolls is

P(=6) = 1-(5/6)^10 = 0.838 = 83.8%

I can send the other options? I just need this explained?

Answers

The standard equation of a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.

For:

[tex]\begin{gathered} (x+3)^2+(y+1)^2=16 \\ \end{gathered}[/tex]

Rewrite the equation as:

[tex]\begin{gathered} (x-(-3))^2+(y-(-1))^2=4^2 \\ so\colon \\ h=-3 \\ k=-1 \\ r=4 \end{gathered}[/tex]

We can conclude it is a circle with center at (-3,-1) and radius of 4

Is 10.6 x 10^14 scientific notation
Is 2.019 x 10^12 scientific notation
is 9.5 x 10^-7 scientific notation
0.526 x 10^-2 scientific notation

Answers

Answer:

The top and the bottom numbers are not in scientific notation; the other two are in scientific notation.

The sum of two numbers is 50 the smaller number is 16 less than the larger number

Answers

The larger number is 33 and the smaller number is 17.

Let the larger number be x

Then, the smaller number will be x-16

According to the question,

Larger number + smaller number = 50

So,

x+(x-16) = 50

2x = 50+16

2x = 66

x = 66÷2

x = 33

Hence,

Larger number = x = 33

Smaller number = x-16 = 33-16 = 17

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Write the vector shown by the image below:

Answers

the vectors are :  (i+5j) , (5i+j)

Here a vector is an object that has both a magnitude and a direction. Geometrically, able to picture a vector as a coordinated line fragment, whose length is the magnitude of the vector, and with an arrow demonstrating the direction. The direction of a vector is from its tail towards its head. Two vectors are the same on the off chance that they have the same magnitude and direction. We signify vectors utilizing boldface as in a or b. In the given graph we can see, for the vector T, it is 1 unit on the x-axis and 5 units on the y-axis, whereas for the vector S its 5 units on the x-axis and 1 unit on the y-axis. Since the unit vectors for the x-axis and y-axis are i and j,

So, the vectors will  i+5j and 5i+j

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Let x, y, z, and w represent the population in millions of four cities A, B, C, and D, respectively. Express the given statement as an equation in x, y, z, and w. If the equation is linear, express it in the standard form
ax + by + cz + dw = k.
(If the equation is not linear, enter NONLINEAR.)
City A has three times as many people as cities B and C combined

Answers

Answer:

  x -3y -3z = 0

Step-by-step explanation:

You want to write "City A has three times as many people as cities B and C combined" as an equation in standard form, letting x, y, z, w represent the populations of cities A, B, C, D, respectively.

Translation

The populations of cites B and C combined can be expressed by ...

  y +z

Three times the combined population is then ...

  3(y +z)

This is equal to the population of city A, so we can write ...

  x = 3(y +z)

Standard form

This equation is in standard form when all of the variable terms are on one side of the equal sign, and the expression is simplified.

  x -3(y +z) = 0 . . . . . . . subtract the right side expression

  x -3y -3z = 0 . . . . . . . eliminate parentheses; standard form

Probability of dependent
Events

Answers

Dependent events: The likelihood of one event happening influences the likelihood of the other event happening.

What are dependent events?

When the result of one event affects the result of another, two events are said to be dependent events.

The likelihood of two connected events is the sum of the probabilities of the occurrences X and Y that happen after X.

The likelihood of one event does influence the likelihood of the other happening.

For instance, the likelihood of drawing another King decreases if you remove a King from a deck of cards without replacing it.

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Solve the inequality.
a-6<8
no real solutions
O all real numbers
O 2 O a < 14
O a< -2 or a> 14

Answers

[tex]a < 8 -+ 6 \\ =a < 14[/tex]

The second option is the answer.

slove system of equations x+y=4 -x + y = 2

Answers

The solution for the equations x = 1 and y = 3

How to determine the solution to the system?

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

x + y=4

-x + y = 2

Add the equations

So, we have

2y = 6

Divide both sides by 2

y = 3

Substitute y = 3 in x + y = 4

x + 3 = 4

Evaluate

x = 1

Hence, the solution for the system of linear equations x + y=4 and -x + y = 2 are x = 1 and y = 3

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How do I convert 65 mi/hr to centimeters per minute

Answers

In the metric system, centimeters per minute (cpm) represents speed or velocity. It counts the centimeters that are covered in a minute.

65 mi/hr to 174346 centimeters per minute.

How to convert Miles Per Hour to Centimeters Per Minute (mi/h to cm/min ?

$1 mi/h = 2682.2346355307 cm/ min.

65 × 2682.2346355307 cm/min = 174345.2513095 Centimeters Per Minute.

Always check the results; rounding errors may occur.

The base unit of [speed] (meters per second), 1 Miles Per Hour (mi/h) exists equivalent to

0.44704 meters-per-second,

while 1 Centimeters Per Minute (cm/min) = 0.000166667 meters-per-second.

65 Miles Per Hour to common speed units

65 mi/ h = 65 miles per hour (mi/h)

65 mi/h = 1.0833333333333 miles per minute (mi/m)

65 mi/h = 174346 centimeters per minute

Therefore, the correct answer is 174346 centimeters per minute.

The base unit for speed is meters per second (Non-SI Unit)

[Miles Per Hour] symbol/abbreviation: (mi/h)

[Centimeters Per Minute] symbol/abbreviation: (cm/min)

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Solve the following inequalities,express the solution in interval notation and graph it 4.a)

Answers

The inequality is given to be:

[tex]\mleft|x-6\mright|\ge2[/tex]

Recall the Absolute Rule:

[tex]\mathrm{If}\: |u|\: \ge\: a,\: a\: >\: 0\: \mathrm{then}\: u\: \le\: -a\: \quad \mathrm{or}\quad \: u\: \ge\: a[/tex]

Applying this to the inequality, we have:

[tex]\begin{gathered} x-6\ge2 \\ x\ge2+6 \\ x\ge8 \end{gathered}[/tex]

or

[tex]\begin{gathered} x-6\le-2 \\ x\le-2+6 \\ x\le4 \end{gathered}[/tex]

Therefore, the solution to the inequality is:

[tex]x\le\: 4\quad \mathrm{or}\quad \: x\ge\: 8[/tex]

The following account balances were taken from the adjusted trial balance for Urgent Messenger Service, a delivery service firm, for the fiscal year ended November 30, 20Y1:

Answers

If the account balances were taken from the adjusted trial balance for Urgent Messenger Service, a delivery service firm, for the fiscal year ended November 30, 20Y1: The income statement is $186,750.

What is income statement ?

Income statement can be defined as the statement that help to shows the revenue and expenditure a company or an organization. When preparing income statement when the revenue amount is greater that the expenses the end result will be net income and in a situation were the expenses is higher than the revenue the end result will be net loss.

Now let prepare the income statement

Urgent Messenger Service Income Statement For the Year Ended November 30, 20Y1

Revenue:

Fees earned $724,500

Expenses:

Salaries expense $393,100

Rent expense $75,000

Utilities expense $41,200

Supplies expense $6,150

Insurance expense $5,000

Miscellaneous expense $6,650

Total expenses $537,750

Net income  $186,750

($724,500 - $537,750 )

Therefore the income statement is the amount of $186,750.

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The complete question is:

The following account balances were taken from the adjusted trial balance for Urgent Messenger Service, a delivery service firm, for the fiscal year ended November 30, 20Y1:

Depreciation Expense $10,650

Fees Earned 724,500

Insurance Expense 5,000

Miscellaneous Expense 6,650

Rent Expense 75,000

Salaries Expense 393,100

Supplies Expense 6,150

Utilities Expense 41,200

Prepare an income statement.

Choose the expression that completes the equation. 30 ÷ 2 + 10 = ________ Question 4 options: 3(2 + 3) 7(2 + 1) 6(3 + 7) 5(4 +1).

Answers

Answer:

5(4 + 1).

Step-by-step explanation:

[tex]{ \rm{(30 \div 2) + 10 = 15 + 10}} \\ [/tex]

- Factorise out 5;

[tex]{ \tt{ = 5(3 + 2)}} \\ \\ = { \tt{5(4 + 1)}}[/tex]

Anders discovered an old pay statement from 12 years ago. His monthly salary at the time was $2800 versus his current salary of $4970 per month. At what (equivalent) compound annual rate has his salary grown during the period

Answers

The (equivalent) compound annual rate at which Anders' salary has grown during the 12 years is 4.9%.

What does the compound annual rate signify?

The compound annual rate is the equivalent rate of interest at which the present value of money grows to attain a future value.

At a 4.9% compound annual rate, Anders' salary has been growing by adding the growth amount to the initial salary and compounding both the principal and subsequent interest amounts until 12 years.

N (# of periods) = 12 years

PV (Present Value) = $2,800

PMT (Periodic Payment) = $0

FV = $-4,971.23

Results:

I/Y (Interest per year) = 4.9%

Total Interest = $2,171.23

Thus, using the online finance calculator, we can determine that Anders' salary has been compounded at 4.9% annually.

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Xbxbxbdndbdndbdnsndnsnsnnssn

Answers

SOLUTION:

Case: Simple Interest

Method:

Simple Interest, I

[tex]\begin{gathered} I=PRT \\ Hence \\ T=\frac{I}{PR} \end{gathered}[/tex]

Where

P= $500

R= 7.5% or 0.075

I= $225

Therefore, Time T

[tex]\begin{gathered} T=\frac{225}{500\times0.075} \\ T=6 \end{gathered}[/tex]

Final answer:

6 years

In a classroom of 28 students 75% of the students have met their reading goal. Label the double number line.How many students met their reading goal?What fraction of 28 students met their reading goal? Explain.

Answers

Explanation:

Total number of students = 28

75% of 28 = 75% × 28

= 0.75 × 28 = 21

This means 21 students have met their reading goal

Fraction of 28 students that met their reading goal = 21/28

Divide numerator and denominator by 7

3/4

Attaching the label:

I omitted the first label on both lines: it should be 0 and 0% respectively

28/4 = 7

100%/4 = 25%

Each demacation represent 7 units on the first line

Each dividing line represent 25% on the second line

seth bouth pencils 1/2 are red and 1/6 are blue how many are blue or red

Answers

Answer:

3 red and 1 blue 3 of another color

Step-by-step explanation:

well you can converte the fraction 1/2 to 3/6 so ye i believe this is correct :) atleast i hope :)

write an expression with a value that is twice as much as 236+912

Answers

2 ( 236 + 912 )

This represents twice the sum of the two numbers.

A quality assurance engineer randomly checks manufactured parts to ensure that they are within 0.002 mm of the desired specifications. If the desired length of the part is 3 mm, then the compound inequality
-0.002 Choose the absolute value inequality that represents the situation.

Answers

The value of absolute inequality will be given by 0.002 ≥ |x-3|.

Inequality may be defined as the expression which shows unequal behavior between two entities while absolute inequality expression includes inequality along with an absolute value. For example, |x| > 3, |x| <3, |x| ≤3 or |x| ≥3. Now, let us assume the length of the part in the question as x. Since, the desired length is given as 3mm and also the parts are within 0.002 mm of the desired specifications.

Therefore, the maximum length of the part can be = 3 + 0.002

and the minimum length of the part can be = 3 - 0.002

Therefore, we can write the inequality as

3 - 0.002 ≤ x ≤ 3 + 0.002

⇒ 3 - 0.002 ≤ x and x ≤ 3 + 0.002

⇒ -0.002 ≤ x-3 and x-3 ≤ 0.002

⇒ 0.002 ≥ -(x-3) and x-3 ≤ 0.002 (Because a > b ⇒ -a<-b)

⇒ 0.002 ≥ | x - 3 |

Thus, the required absolute inequality is 0.002 ≥ |x-3|.

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Answer:

A: |x - 3| ≤ 0.002

Step-by-step explanation:

What is the area of this shape

Answers

Given a figure of a right trapezoid

The bases are the sides, 4 and 6

And the height = 4

The area of the trapezoid = 1/2(sum of the bases) times the height

So, the area =

[tex]\frac{1}{2}(4+6)\cdot4=\frac{1}{2}\cdot10\cdot4=20[/tex]

So, the answer will be: Area = 20 unit²

If ΔEFG ~ ΔLMN with a ratio of 2:1, which of the following is true?

Answers

Step 1

Given;

Step 2

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles and squares of any side length are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

[tex]\begin{gathered} Triangle\text{ EFG}\approx\text{ Triangle LMN in the ratio 2:1} \\ Thus, \\ \frac{EF}{L\text{ M}}=\frac{FG}{MN}=\frac{EG}{LN}=\frac{2}{1} \end{gathered}[/tex]

Thus, the answer is;

a cycle wheel does 2096 full turns in 8 minutes work out the number of full turns per minute

Answers

So basically you do 2096 divided by 8

Answer : 262 Minutes is alr i got u bro

MATH WIZARDS HELP PLEASE!!!!

Answers

What We Know

Equation: h(t) = 96t - 16t²

This equation will form a parabolaThe zeros of the parabola will indicate the start time and height (0,0) and the end time and height (x, 0)The maximum point will be the maximum height the ball will reachThe maximum point will be the halfway point between the two zerosStep-by-Step

h(t) = 96t - 16[tex]t^{2}[/tex]

Find the zeros of the given equation:

Factor out the greatest common factor (GCF)

h(t) = 8t (12 - 2t)

The two factors are:

0 = 8t

0 = 12 - 2t

For both factors, solve for t

8t = 0

8t/8 = 0/8

t = 0

12 - 2t = 0

-2t = -12

t = 6

Now we have the x-values (t) of our zeros:

t = 0

(0, 0)

t = 6

(6, 0)

The ball will land on the ground at 6 seconds

Recall that the maximum point of the graph is halfway between the two zeros:

6 + 0 = 6

6 ÷ 2 = 3

The ball will reach its maximum height in 3 seconds

To find this height, substitute t for 3 in the given equation, and solve for h:

t = 3

h(3) = 96(3) - 16(3)²

       = 288 - 16(9)

       = 288 - 144

       = 144

The maximum height the ball will reach is 144 feet

***Refer to the graph below to check your answer:

Answer:  144 feet

=======================================================

Explanation:

I'll use x in place of t

And use y in place of h(t)

The equation we have is y = 96x - 16x^2

This rearranges to y = -16x^2 + 96x

Compare this to y = ax^2+bx+c to find that

a = -16b = 96c = 0

The x coordinate of the vertex is

h = -b/(2a)

h = -96/(2*(-16))

h = 3

Then plug this into the equation to find the value of y

y = -16x^2 + 96x

y = -16(3)^2 + 96(3)

y = 144

The y coordinate of the vertex is k = 144

The vertex is located at (h,k) = (3, 144) to represent the highest point of the parabola.

The max height of 144 feet occurs when the ball is in the air for 3 seconds.

Help me solve this please it’s the last question

Answers

Answer:

32?

Step-by-step explanation:

????????tell me if it is correct??

What is A-1? A=[-2 -3 3 12] Enter your answer by filling in the boxes. Enter any fractions as simplified fractions.

Answers

In this Matrix A= [-2     -3

                              3    12]

the matrix of A - 1 is

[-4/5    -1/5

 1/5    2/15]

According to the question, given that

[-2    -3

3     12 ]  ^ -1

First, we find the determinant

-2 * 12  - (-3 *3) = -24 - (-9) = -24 +9 = -15

Multiply 1 over the determinant by The matrix with the -2 and 12 switched and negate the -3 and the 3

1/-15 [12      3

         -3      -2 ]

after multiply by 1/ - 15, we get

[-4/5       -1/5

 1/5       2/15]

Therefore, In given Matrix A, after solving we get the value A- 1 is

[-4/5       -1/5

1/5       2/15]

Matrix

If there are m rows and n columns, the matrix is said to be an “m by n” matrix, written “m × n.” For example,

Matrix.  [ 5   6    3

               -2    3    2 ]

is a 2 × 3 matrix. A square matrix of order n have n rows and n columns. Ordinary numbers can be thought of as 1 1 matrices, making the number 3 the matrix [3]A row vector is a matrix with one row and n columns, and a column vector is a matrix with one column and n rows.

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The table represents a quadratic function. Write an equation of the function in
standard form.
X- -3,-2,-1,0
f(x)-6,0,-2,0

Answers

An equation of the quadratic function in standard form is equal to -2x² - 7x - 6 = 0.

What is a quadratic function?

A quadratic function can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

y = f(x) = ax² + bx + c

Next, we would formulate a system of equations from the data contained in the table above:

-6 = a(-3)² + b(-3) + c  ⇒ -6 = 9a - 3b + c      .......equation 1.

0 = a(-2)² + b(-2) + c  ⇒   0 = 4a - 2b + c      .......equation 2.

-2 = a(-1)² + b(-1) + c  ⇒   -2 = a - b + c          .......equation 3.

From eqn. 2, we have:

c = -4a + 2b   .....equation 4.

Substituting eqn. 4 into eqn. 1 and 3, we have:

-2 = a - b - 4a + 2b          ⇒ -2 = -3a + b

-6 = 9a - 3b - 4a + 2b     ⇒ -6 = 5a - b

By using the elimination method, we have:

-8 = 2a

a = -4

For the value of b, we have:

-2 = -3a + b

b = -2 + 3a

b = -2 + 3(-4)

b = -2 - 12

b = -14

For the value of c, we have:

c = -4a + 2b

c = -4(-4) + 2(-14)

c = 16 - 28

c = -12.

Substituting the values of a, b and c into the standard form of a quadratic equation:

ax² + bx + c = 0

-4x² - 14x - 12 = 0

-2x² - 7x - 6 = 0

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Answers:A.(a,-2b)B.(-a,2b)C.(-a,-2b)D.(a,2b)

Answers

Midpoint formula

[tex](x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

where (x1, y1) and (x2, y2) are two points and (xm, ym) are the coordinates of the midpoint between (x1, y1) and (x2, y2).

In this case, we want to find the coordinates of the midpoint between Y(0, -4b) and Z(-2a, 0). Substituting into the above formula:

[tex]\begin{gathered} (x_m,y_m)=(\frac{0+(-2a)}{2},\frac{-4b+0}{2}) \\ (x_m,y_m)=(\frac{-2a}{2},\frac{-4b}{2}) \\ (x_m,y_m)=(-a,-2b) \end{gathered}[/tex]

A 22​-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first​ piece, and the third piece is one inch more than four times the length of the first piece. Find the lengths of the pieces.

Answers

A 22-inch piece of steel is divided into three parts, the length of 1st 2nd and 3rd piece are 3 inch,6 inch and 13 inch.

Given that,

A 22-inch piece of steel is divided into three parts, the second of which is twice as long as the first and the third of which is one inch longer than the first.

We have to find the parts' lengths.

Let us take, the length of the first piece is x inch.

Then the length of the second piece is 2x.

Then the length of the third piece is 4x + 1 inch.

We know total length of the steel is 22 inch.

We can write as,

x + 2x + 4x + 1 = 22

7x = 21

x = 3.

Then, the length of the first piece is 3 inch.

Then the length of the second piece is 2×3=6 inch.

Then the length of the third piece is 4×3 + 1=12+1=13 inch.

Therefore, the length of 1st 2nd and 3rd piece are 3 inch,6inch and 13 inch.

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what is the value of the expression 3(a+1)-b when a=2 and b= -1 What is 7,984 -9,151 = challenges and solutions of ICT in historical studies The Electoral College was created for the following reasons. HELP PLEASEEEE!!!!!!!! Read the excerpt from "Rebuilding the Cherokee Nation.Some people will tell you those treaties arent valid anymore and they should be ignored simply because theyre old, and obviously . . . that argument makes little sense. There are lots of world documents that are very old and just because theyre old and because of their age doesnt mean that theyre any less valid. The United States Constitution is very old.Courtesy of the Wilma Mankiller Trust Which statement best paraphrases the excerpt?Wilma Mankiller says that some people ignore old things, like treaties and other world documents. The United States Constitution, for example, is a document that is very old.The United States Constitution was created many years ago. Therefore, it should be ignored if people feel that old treaties should not be honored because of their age, says Mankiller.Wilma Mankiller says that some treaties created long ago should be disregarded because of their age. She admits, though, that many old documents, including the United States Constitution, can still be considered valid.According to Mankiller, the people who say that old treaties are invalid because of their age are wrong. Many old documents around the world are still valid, including the United States Constitution. why might an effective rent control actually increase homelessness in a city? multiple choice landlords will make less of an effort to maintain rent-controlled apartments because they receive less rent from these apartments. landlords will build more apartments due to the shortage of affordable housing. fewer people will look for apartments in the area due to the shortage of affordable housing. more people may move to the area hoping to find a lower-priced apartment. module 1 question 11A cheetah can accelerate from rest to a speed of 26.5 m/s in 6.50 s. What is its acceleration? m/s2 Can anyone do this I don't understand Why should variations between expected and actual work performance according to task requirements be documented and communicated to relevant personnel? Who did experiments with light , known as the double-slit experiments, to produce interference patterns that could only be explained by evoking a wave-like nature for light?. Use the slope-intercept form to graph the equation y= -8/7x + 3 Determine a, b, c N*, different two by two, so that: [tex]\frac{1}{a}+\frac{1}{b}+\frac{1}{c}[/tex] is an integer Can someone please help with this noredink . If the producer level of an ecosystem contains 46,894 calories, how much energy wouldbe found at the secondary consumer level of that same ecosystem?a. 4,689 caloriesb. 468,940 caloriesC. 468 caloriesd. 46,894 calories What is the sequence of transformations that maps ABC to ABCStep 1:A. Reflect across the line Y=XB. Reflect across the x-axis C. Rotate 90 clockwise about the origin.D. Rotate 180 about the originStep 2:A. Translate 6 units upB. Translate 5 units upC. Reflect across the line y=xD. Reflect across the x-axis For the function y = x - 8x + 16, work out the coordinates of the y-intercept. i need help with this please:-)) Y=x^2+5x-3Y-x=2What is the solution to the linear-quadratic system of equations. On a coordinate plane, 3 parallelograms are shown. Parallelogram A B C D has points (3, 5), (6, 5), (4, 1), (1, 1). Parallelogram A prime B prime C prime D prime has points (3, negative 5), (6, negative 5), (4, negative 1), (1, negative 1). Parallelogram A double-prime B double-prime C double-prime D double-prime has points (negative 3, negative 4), (0, negative 4), (negative 2, 0), (negative 4, 0).Which rule describes the composition of transformations that maps pre-image ABCD to final image A"B"C"D"?Reflection across the x-axis composition translation of negative 6 units x, 1 unit y.Translation of negative 6 units x, 1 unit y composition reflection across the x-axis.90 degree rotation about point 0 composition translation of negative 6 units x, 1 unit y.Translation of negative 6 units x, 1 unit y composition 90 degree rotation about point 0.