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3 years ago

Factorise 3xy2− 6x2y+ 12xy

Mathematics

2 answers:

d1i1m1o1n [39]3 years ago

7 0

Answer:

terms=3xy2,-6x2y,12xy

factor=3xy2=3,x,y2

=-6x2y=-6,x2,y

=12xy=12,x,y

Step-by-step explanation:

Pls mark as branliest thanks.

maxonik [38]3 years ago

4 0

Answer:

3xy(y - 2x + 4).

Step-by-step explanation:

3xy2− 6x2y+ 12xy

The greatest common factor of the 3 terms is 3xy.

So, dividing by 3xy, the factors are:

3xy(y - 2x + 4).

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Lisa collected leaves from different trees for a sience project. Everyday for a week she collected 7 leaves how many leaves did

julsineya [31]

The total number of leaves that was collected by Lisa is the product of the number of days in a week and the number of leaves she collected per tree. This is shown below, (7 trees / week) x (7 leaves / 1 tree) = 49 leaves / weekThus, Lisa collected 49 leaves in a week.

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3 years ago

Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional qua

inna [77]

The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of square

<h3>Solution:</h3>

Given that side of square "a" = 7.2 cm

We have to find the perimeter of square

The perimeter of square is given as:

Perimeter of square = 4a

Where "a" represents the length of side of square

Substituting the given value a = 7.2 cm in above formula, we get perimeter of square

Perimeter of square = 4(7.2) = 28.8 cm

Are the perimeter of the square and the length of its side directly proportional quantities?

$\begin{array}{l}{\text { perimeter of square }=4 a=4 \times \text { length of side }} \\\\ {\frac{\text { perimeter of square }}{\text { length of side }}=4}\end{array}$

The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.

Two values are said to be in direct proportion when an increase in one results in an increase in the other.

So when length of sides increases, perimeter also increases

Hence perimeter and length of side of square are directly propotional quantities

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3 years ago

Explain how you determine an equation for a line using a table of input/output values.

Lubov Fominskaja [6]

Example :

x y
1 3
2 6
3 9
4 12

first thing u do is pick any 2 points (x,y) from ur table

(1,3) and (2,6)
now we sub those into the slope formula (y2 - y1) / (x2 - x1) to find the slope
(y2 - y1) / (x2 - x1)
(1,3)....x1 = 1 and y1 = 3
(2,6)...x2 = 2 and y2 = 6
sub
slope = (6 - 3) / (2 - 1) = 3/1 = 3

now we use slope intercept formula y = mx + b
y = mx + b
slope(m) = 3
use any point off ur table...(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 3(1) + b
3 = 3 + b
3 - 3 = b
0 = b

so ur equation is : y = 3x + 0....which can be written as y = 3x...and if u sub any of ur points into this equation, they should make the equation true....if they dont, then it is not correct

and if u need it in standard form..
y = 3x
-3x + y = 0
3x - y = 0 ...this is standard form

6 0

3 years ago

today a boat valued at $45,000.Thebvalue is expected to decrease at a rate of 8.5% each year.What is the value of the boat expec

Stels [109]

Current value of the boat = $45000

Rate at which the value decrease = 8.5%

Value decreased after 1 year = $\frac{8.5}{100}\times45000=3825$