Answer:

Step-by-step explanation:
Given two expressions ,
And , we need to find the LCM , that is lowest common factor . So , let's factorise them seperately .
<u>Factorising</u><u> </u><u>x²</u><u> </u><u>-</u><u> </u><u>9</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Factorising</u><u> </u><u>3x</u><u>³</u><u> </u><u>+</u><u> </u><u>8</u><u>1</u><u> </u>
Hence we can see that (x+3) is common factor in both expressions.
<u>Hence</u><u> </u><u>the</u><u> </u><u>LCM</u><u> </u><u>is</u><u> </u><u>(</u><u> </u><u>x</u><u>+</u><u>3</u><u> </u><u>)</u><u> </u><u>.</u>
Answer: 5, 6, and 7.
Step-by-step explanation:
We can find the area of each shape separately
The area of the triangle can be found by A = 1/2bh
So the area will be 1/2 times (6+14+6= 26) 26 times 21
The area of the triangle will be 273 ft^2
The area of the square will be A=lxh
So the area will be 14 times 14
So the area of the square will be 196 ft ^2
We then add the area of both shapes together to get the total area
273 + 196 = 469 ft^2
<h3>The measure of angle y is 35.68 degrees</h3>
<em><u>Solution:</u></em>
Given that,
hypotenuse 12
Opposite 7
Find the measure of angle y
y is unknown and is between the hypotenuse and adjacent side
The figure is attached below
In a right triangle, the sine of the angle is the ratio of the side opposite to the angle to the hypotenuse
Therefore,

Thus measure of angle y is 35.68 degrees