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torisob [31]
3 years ago
12

Find the distance between the pair of points. (7, -17) and (-22, 12)

Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(-22 - 7)^2 + (12 + 17)^2}\\= \sqrt{(-29)^2 + 29^2} = \sqrt{841 + 841} = \sqrt{1682} = 29\sqrt{2}

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What is the recursive rule for this geometric sequence? 27,  9,  3,  1,  ... Enter your answers in the boxes.
ANEK [815]

Answer:

a_n=a_{n-1}(\frac{1}{3})\\a_1=27

Step-by-step explanation:

A recursive formula is a formula in which each term is based on the previous term.

In a geometric sequence, each term is found by multiplying the previous term by a constant.

To get from 27 to 9, then from 9 to 3, etc., we would multiply by 1/3.  This makes the common ratio 1/3.

The recursive formula for a geometric sequence is

a_n=a_{n-1}(r), where a_n represents the general term,  a_{n-1}, represents the previous term, and r represents the common ratio.

Plugging in our values, we have

a_n=a_{n-1}(r)

We also have to indicate what the first term, a₁, is.  In this sequence, it is 21.  This gives us

a_n=a_{n-1}(\frac{1}{3})\\a_1=27

8 0
3 years ago
Read 2 more answers
Solve the inequality −x/2<4
FinnZ [79.3K]

Isolate the x. First, multiply 2 to both sides

-x/2(2) < 4(2)

-x < 4(2)

-x < 8

Isolate the x. Divide - 1 to both sides (because you are dividing a negative number, flip the sign).

-x/ -1 < 8/-1

x > -8 is your answer

hope this helps

5 0
3 years ago
How do you add and subtract decimals as easily as you do whole numbers?
777dan777 [17]

If you know how to add and subtract whole numbers, then you can add and subtract decimals! Just be sure to line up the terms so that all the decimal points are in a vertical line.
To add decimal numbers:

Put the numbers in a vertical column, aligning the decimal points
Add each column of digits, starting on the right and working left. If the sum of a column is more than ten, "carry" digits to the next column on the left.
Place the decimal point in the answer directly below the decimal points in the terms.
To subtract decimal numbers:

Put the numbers in a vertical column, aligning the decimal points.
Subtract each column, starting on the right and working left. If the digit being subtracted in a column is larger than the digit above it, "borrow" a digit from the next column to the left.
Place the decimal point in the answer directly below the decimal points in the terms.
Check your answer by adding the result to the number subtracted. The sum should equal the first number.

To add these numbers, first arrange the terms vertically, aligning the decimal points in each term. Don't forget, for a whole number like the first term, the decimal point lies just to the right of the ones column. You can add zeroes to the right of the decimal point to make it easier to align the columns. Then add the columns working from the right to the left, positioning the decimal point in the answer directly under the decimal points in.

To subtract these numbers, first arrange the terms vertically, aligning the decimal points in each term. You can add zeroes to the right of the decimal point, to make it easier to align the columns. Then subtract the columns working from the right to the left, putting the decimal point in the answer directly underneath the decimal points in the terms. Check your answer by adding it to the second term and making sure it equals the first.










· Place value

· Decimal numbers

· Estimating and
rounding

· Adding / subtracting
decimals

· Multiplying decimals

· Dividing decimals

· Percent

· Exponents

· Square roots

· Signed integers

· Adding and
subtracting integers

· Multiplying and
dividing integers

· Properties of integers








First Glance In Depth Examples Workout
First Glance In Depth Examples Workout

Adding and subtracting decimals
4 0
4 years ago
Read 2 more answers
Please help urgent!!!
Igoryamba

Answer:

bbbbbbbbbnbbbb bbbbbbbbbb

3 0
3 years ago
The equation for the circle below is x squared+ y squared= 100. what is the length of the circles radius
Tasya [4]
The radius is 10
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