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>
For
ax^2+bx+c=0
discriminatn is b^2-4ac
a=4
b=12
c=9
discriinat is
12^2-4(4)(9)=
144-144
0
the discrminat is 0
All spheres are similar because there are no other configuration of spheres except for being perfectly round three-dimensionally. Similar shapes are shapes where angles are similar as well as the sides which can just be determined through ratio and proportion
Answer:
1. 33%
2. 16%
3. 50%
Step-by-step explanation:
Answer:
15. a 7.9 miles
b. NO .
Step-by-step explanation:
From the table, on
Monday = 3 2/5
Wednesday = 4 1/2
Write the distance in improper fractions as;
Monday = 17/5
Wednesday = 9/2
Find the sum as
where the L.C.M is 10
Answer is 7.9 miles
b.
Distance covered on Thursday and Saturday will be
2 2/6 + 3 3/4
14/6 + 15/4 ------the L.C.M is 12
(28+45)/12
73/12
The distance 73/12 miles for Thursday + Saturday is less than that of Monday + Wednesday 79/10 miles. The answer is NO.