To find the nature of solutions of a quadratic equation we can find the discriminant.
The standard form of a quadratic equation is ax² + bx + c = 0.
Formula to find the discriminant = b² - 4ac.
So, first step is to compare the given equation with the above equation to get the value of a, b, and c.
After comparing the two equations we will get a =1, b = 9 and c = 20.
Next step is to plug in these value in the formula of discriminant. So,
Discriminant = 9² - 4(1)(20)
= 81 - 80
= 1
Since 1 is a positive perfect square number.
So, we will get two real solutions for this equation.
Hence, the correct choice is C.
Hope this helps you.
It would be: 2 / 5/8
We can re-write it as: 2 * 8/5 = 16/5
So, your final is 16/5 or 3.2
Hope this helps!
Answer:
The distance between B and lighthouse is 3.8688 km
Step-by-step explanation:
Given:
The angle made from ship to lighthouse is 36.5 degrees
and that of point B is 73 degrees.
To Find:
Distance Between Point B and Lighthouse
Solution:
<em>Consider a triangle LAB(Refer the attachment )</em>
And Point C is on the line AB as A i.e. ship is sailing to B
So C is at 5 km from A.
Now In triangle LAC,
Using Trigonometry Functions as ,
tan(36.5)=LC/AC
LC=tan(36.5)*AC
=0.7399*5
=3.6998 km
Now In triangle LBC,
As,
Sin(73)=LC/LB
LB=LC/(Sin(73))
=3.6998/0.9563
=3.8688 km
LB=3.8688 km
Answer:
10
Step-by-step explanation:
Four subtracted from two times x
