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Goryan [66]
2 years ago
6

Factorise this expression as fully as possible: 9x²y + 12xy²

Mathematics
1 answer:
finlep [7]2 years ago
6 0
First you can take out a 3. And an x and a y. Thus, 3xy(3x+4y) is the answer.
You might be interested in
Pls help, u dont have to explain that much​
Anettt [7]

Answer:

it will be equal to

12x {}^{3}

okay....

Step-by-step explanation:

volume of a cuboid = l × b × h

( where l = length, b = width , h = height )

so volume of given cuboid = ( 3x × 2x × 2x )

hence volume =

{12x}^{3}

5 0
3 years ago
Graph the line y=kx+1 if it is known that the point M belongs to it: m(1,3)
Novosadov [1.4K]

Answer:

y = 2x +1

Step-by-step explanation:

y=kx+1

Substitute the point into the equation

3 = k(1) + 1

3 = k+1

Subtract 1 from each side

3-1 = k

2 = k

y = 2x +1

The slope is 2 and the y intercept is 1

3 0
2 years ago
Read 2 more answers
Directions are in the pic
Andrej [43]
Answer: 48

first you do 2x3 then divided by 2 to get one of the small triangles which is 6/3= 2 then double that to get the other small triangle so you have 2+2=4
then you find the area of the rectangle which you do 8+3 to get the whole of the length so it’s then 11x4= 44
then add the 4 from the two triangles and you get the area as 48
i think this is right
4 0
2 years ago
Katie practiced the flute for 45 minutes then she ate a snack for 15 minutes next she watched television for 30 minutes until 6:
s344n2d4d5 [400]
4:30 because when you add the minutes then subtract the sum from ^:00 that is answer you get
5 0
3 years ago
Read 2 more answers
Write the equation of a parabola whose directrix is y=9.75 and has a focus at (8, 0.25).
lana [24]

Answer:

y = (-1/19)(x - 8)² + 1521/76

Step-by-step explanation:

A parabola moves in such a way that it's distance from it's focus and directrix are always equal.

Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4

If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;

√((x - 8)² + (y - ¼)²)

Distance from that point to the directrix is; (y - 39/4)

Thus;

√((x - 8)² + (y - ¼)²) = (y - 39/4)

Taking the square of both sides gives;

((x - 8)² + (y - ¼)²) = (y - 39/4)²

(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²

Simplifying this gives;

(x - 8)² - (39/4)² = (½ - 39/2)y

(x - 8)² - 1521/4 = -19y

(x - 8)² - 1521/4 = -19y

Divide both sides by -19 to get;

y = (-1/19)(x - 8)² + 1521/76

6 0
2 years ago
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