6. What is the slope of the line pictured?

Answers

Answer 1

Answer:

Answer:

-1/3

Step-by-step explanation:

We can do this by counting the number of spaces away the points shown are. Starting from the leftmost point, you move down one, or -1, units, and right 3 units. Since slope is defined as rise over run, you can then say that the slope is:

-1/3

Hope this helps!

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A pair of equations is shown below.3x − y = 9 y = −2x + 11 If the two equations are graphed, at what point do the lines representing the two equations intersect? (4, 3) (3, 4) (9, 11) (11, 9)

Find the perimeter and area of the figure...

Answers

The perimeter is the sum of the lengths of the sides: 5 ft + 12 ft + 16 ft = 33 ft.

The area is found using the formula A = (1/2)(b)(h), where b = length of base and h = altitude. Here,

A = (1/2)(5 ft)(8 ft) = 20 ft^2

A=1/2 b x h

A= 1/2 (5 x 8)

A=1/2 (40)

so you divide 40 by 1/2

Which of the following is the explicit formulas for the geometric sequence?A. an= 9(1/3)n+1
B. an= 9(3)n-1
C. an= 9(1/3)n-1
D. an= 9(3)n+1

Answers

Answer:

C. an= 9(1/3)n-1

Step-by-step explanation:

The decreasing curve means the base of the exponential factor is less than 1, eliminating choices B and D. The value of the term is 9 at n=1, so eliminating choice A.

The general form of the n-th term is ...

an = a1·r^(n-1) . . . . first term a1, common ratio r

so we expect to see an exponent of (n-1) when a1 is the value for n=1. If you match the pattern above to the answer choices, you see the only decision required is whether r=3 or r=1/3. The decaying curve of the graph shows you that r < 1, so the choice is r=1/3 and the formula is ...

an = 9(1/3)^(n-1) . . . . . . . parentheses are needed on the exponent

Mario bought $5 worth of stamps at the post office. He bought ten more 6-cent stamps than 10-cent stamps. The number of 8-cent stamps was three times the number of 10-cent stamps. He also bought two 20-cent stamps. How many of each kind of stamp did he purchase?

Answers

He bought 2 20-cent stamps.
That is $0.40.
He spent $4.60 on the other stamps.

He bought x 6-cent stamps, y 10-cent stamps, and z 8-cent stamps.

y + 10 = x
z = 3y

6x + 10y + 8z = 460

6(y + 10) + 10y + 8(3y) = 460

6y + 60 + 10y + 24y = 460

40y + 60 = 460

40y = 400

y = 10

x = y + 10 = 10 + 10 = 20

z = 3y = 3(10) = 30

He bought
20 6-cent stamps
10 10-cent stamps
30 8-cent stamps
2 20-cent stamps

Which of these sequences of transformations would not return a shape to its original position?Group of answer choices

1. Translate 3 units up, then 3 units down.

2. Reflect over line p, then reflect over line p again.

3. Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.

4. Rotate 120∘ counterclockwise around center C, then rotate 220∘ counterclockwise around C again.

Answers

Answer:

4. Rotate 120∘ counterclockwise around center C, then rotate 220∘ counterclockwise around C again.

Step-by-step explanation:

Option 1, 2 and 3 will return a shape back to its original because:

1. 3 units up and 3 units down are direct opposite and will cancel out one another. Hence, the shape will return to its initial position.

2. Reflect over line p, and over p again.

This actions are also direct opposite and also have the same effect as (1)

3. Translate 1 unit to the right and 3 units to the right.

This equates to 4 units to the right and it will cancel out the translation of 4 units to the left.

4. Rotate 120 counter clockwise and another 220 counterclockwise will not make a shape go back to its original position.

Hence:

4 answers the question

During the first week of the year, Angelina's dad give her $10 and says that he will give her $10 more each week for the rest of the year. At the end of the year, how much money will Angelina receive from her dad? (Hint : 1 year = 52 weeks) Make a table to show the pattern, and explain your answer.

Answers

The amount Angelina will have at the end of the year is $520.

What are Mathematical operators?

A collection of numbers and operations is an expression in mathematics. The following are the parts of a math expression that do a math operation:

Operands: Operands are the numbers that an operator uses. The terms that are given to the operands vary according to the kind of operation.

Given money received by Angelina in the first week = $10

and money she will get each week for rest of the year = $10

amount in first week = $10

amount in second week = $10 + $10 = $20

amount in third week = $20 + $10 = $30

amount is week 52 = 52 x $10 = $520

table for the week and money

week 1 2 3 4 5 6 ........ 52

money $10 $20 $30 $40 $50 $60 ....... $520

Hence the amount after 1 year will be $520.

Learn more about Mathematical operators;

brainly.com/question/8959976

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$520. for the table just make 2 columns. one side is 1-52 for each week of the year and the other side will be the total amount for that week. ex: week 1=$10, and week 2=$20, etc.it should be self explanatory by that point.

X^4 - 4x^4 - 6y^3 - 2x^4

Help !!