So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2: 
Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses: 
Now you can rewrite this as 
, however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is 
. Applying that here, we have 
. x^4 + 5x^2 - 36 is completely factored.
Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x: 
Next, factor 2x^2 + 10x and -x - 5 separately. Make sure that they have the same quantity on the inside: 
Now you can rewrite the equation as 
. 2x^2 + 9x - 5 is completely factored.
<h3><u>Putting it all together, your factored expression is
</u></h3>
Theorem
The measure of an exterior angle of a triangle equals the sum of measures of the remote interior angles.
Angle STV is an exterior angle of triangle SRT.
The two remote interior angles to exterior angle STV are angles S and R.
Since the triangle is isosceles, with sides ST and TR equal, angles S and R are equal, so they both measure 27 deg.
<STV = 27 + 27
<STV = 54
The correct answers are:
(D) a<span>b ll cd
(F) a</span><span>b and cd are coplanar
Explanation:
The symbol for parallel is " </span>ll ". Therefore, if we translate the given sentence, <span>ab and cd are parallel, into the Mathematical terms, we can write it as:
</span>
ab ll cd (Option D)
Where ab = line
cd = line
Furthermore, the lines ab and cd are coplanar because they form the plane. In other words, you can say that the lines ab and cd lie on the same plane. (Option F)
Hence the correct answers are:
(D) ab ll cd
(F) ab and cd are coplanar
Answer:
5n is your answer hope this help
Answer:
9/8
Decimal form: 1.25
Mixed Number form: 1 1/8
Good luck, hope this helped!
