Factorize 9/16 x2 + xy + 4/9 y2

1 answer:

7 0

$\frac{9}{16} x^2 + xy + \frac{4}{9} y^2 = (\frac{3}{4} x)^{2} + xy + (\frac{2}{3}y)^{2} = (\frac{3}{4} x)^{2} + 2* \frac{3}{4} x * \frac{2}{3}y + (\frac{2}{3}y)^{2}$ $= ( \frac{3}{4}x + \frac{2}{3} y)^{2}$

You might be interested in

2/v + 2 = 9 solve for v

kenny6666 [7]

2/v+2=9
-2 -2
2/v=7
(2)2/v=7(2)

V=14

6 0

3 years ago

Read 2 more answers

A sailboat leaves port and sails 12 kilometers west and then 9 kilometers north.

GarryVolchara [31]

Answer: The sailboat is at a distance of 15 km from the port.

Step-by-step explanation: Given that a sail boat leaves port and sails 12 kilometers west and then 9 kilometers north.

We are to find the distance between the sailboat from the port in kilometers.

Since the directions west and north are at right-angles, we can visualize the movement of the sailboat in the form of a right-angled triangle as shown in the attached figure.

The sailboat moves leaves the port at P and reach O after sailing 12 km west. From point O, again it moves towards north 9 km and reach the point S.

PS = ?

Using the Pythagoras theorem, we have from right-angled triangle SOP,

Thus, the sailboat is at a distance of 15 km from the port.

3 0

3 years ago

7(x-2)=28 Can somebody help me and show the steps?

olya-2409 [2.1K]

Since the 7 is in front of the parentheses you must multiply it by everything inside the parentheses. 7 times X is 7X and 7 times -2 is -14. Then you need to make the X be by itself on one side, to do that you have to add 14 to -14 to make it disappear, and also add 14 to the other side, to 28. Then you divide both sides by 7 to make X be by itself.

7(x-2)=28
7X-14=28
7x=42
X=6