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3 years ago

Identify and extend the pattern to find the next number in this sequence: 63, 54, 45, 36,

Mathematics

2 answers:

podryga [215]3 years ago

6 0

The next number is 27 because it is decreasing by 9 each time

attashe74 [19]3 years ago

6 0

Answer:

The next number in the sequence is:

Step-by-step explanation:

We are given a sequence of numbers:

63, 54, 45, 36

We have to find the next term in the sequence.

The above sequence could also be written as:

9×7,9×6,9×5,9×4

So, the next term in the sequence will be:

9×3=27

Hence, the next number in the sequence is:

You might be interested in

Which statement best explains the relationship between lines PQ and RS? They are parallel because their slopes are equal. They a

IRINA_888 [86]

Answer:

They are not parallel because their slopes are not equal

Step-by-step explanation:

From the diagram attached, The line PQ has point P at (-5, 3) and point Q at (5, 1).

For line RS, point R is at (-4, -2) and point S is at (0, -4).

Two lines AB and CD are said to be parallel to each other if they have the same slope, i.e if the slope of AB is m1 and the slope of CD is m2, m1 = m2. When two lines are parallel, they can never intersect.

The slope (m) of of a line given two points on the line is calculated using:

$m=\frac{y_2-y_1}{x_2-x_1}$

For line PQ has point P at (-5, 3) and point Q at (5, 1), the slope is given as:

$m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{1-3}{5-(-5)}=-\frac{1}{5}\\$

For line RS, point R is at (-4, -2) and point S is at (0, -4), the slope is given as:

$m_2=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-(-2)}{0-(-2)}=-1$

Since the slope of PQ (-1/5) and the slope of line RS (-1) are not equal, therefore the lines are not parallel

8 0

3 years ago

Read 2 more answers

If the perimeter of a right triangle is 42 units and the length of the hypotenuse is 20 units, find the length of the other two

Mashutka [201]

So
a^2+b^2=c^2
c=hypotenuse
a^2+b^2=20^2=400

if the permiter is 42 then
p=hypotonuse+side+side
42=20+side+side
subtract 20 from both sides
22=side+side

a+b=22
subtract b from both sides
a=22-b
subsitute for a in equation below
a+2+b^2=c^2
(22-b)^2+b^2=400
b^2-44x+484+b^2=400
2b^2-44x+484=400
divide both sides by 2
b^2-22x+242=200
subtract 200 from both sides
b^2-22x+42=0
factor
(b+/-number)(b+/-number)
to find the numbers, find which 2 number multiply to 42 and add to get -22
the numbers must be neative since same signs multiplied=positive and negative+negative=negative
(b-number)(b-number)
facrors of 42=2,3,6,7,14,21
2,21
3,14
6,7
it's hard to find the number, but the numbers are -19.8882 and -2.11181
(b-19.8882)(b-2.11181)=0
if xy=0 then assume that x and y=0

b-19.8882=0
add 19.8882 to both sides
b=19.8882

b-2.11181=0
add 2.11181 to both sides
b=2.11181

the side legnths are 19.8882 units and 2.11181 units

4 0

4 years ago

A college freshman started the year with $4000 in spendingmoney and after three months, she has $2800 left. Assume thatshe will

Bezzdna [24]

She would have $800 left.
$4000 - $2800= 1200
1200 is how much she spent the last 3 months
1200/ 3= 400
400 * 5= $2000
2800- 2000= $800

6 0

3 years ago

Read 2 more answers

Which of these pieces of data about an animal at the zoo is considered

olchik [2.2K]

Answer:

Step-by-step explanation:

Species since its by number

8 0

3 years ago

Is (-2, 1) a solution to the system<br> x -y = -3<br> y = -2x + 5

vekshin1

Answer:

No, I believe the solution is (2/3, 11/3)

Step-by-step explanation:

6 0

3 years ago