Hello!
In math, there is always something called the discriminant. This is represented by the equation 
, when a quadratic = 
. The discriminant tells you what roots an equation has. A discriminant of over 0 represents 2 real roots, a discriminant of 0 = 1 real root, and a discriminant of <0 is 0 real roots (2 complex roots)
Now, substitute in the values and solve. In this equation, a = 5, b = 2, c = 1.
Therefore, the discriminant is -16. This means that the equation has no real roots, and has 2 complex roots. Therefore, your answer is D.
Hope this helps!
Answer: 7,-7
Step-by-step explanation: 7 squared is 7 times 7 which equals 49
-7 times -7 is also 49 bc the negatives cancel each other out
The answer is 28
Explanation:
18⅔ ÷ ⅔
= 56/3 ÷ 2/3
= 56/3 x 3/2
= 56/2
=28
Answer:
B. 10
Step-by-step explanation:
First, we need to recognize that the two triangles are similar (the triangle with a leg value of 21 and the triangle with a leg value of 4 and hypotenuse x)
Let's first label the leg of the second triangle as y.
Then, we can set up this equation
Cross multiplying gives us
84=y^2
So, y=sqrt(84) or 2 sqrt(21).
Now, using the pythagorean theorem, we get
4^2+2sqrt(21)^2=x^2
100=x^2
x=10
2 to the 2nd power times 3 to the second power times 5
4 X 9 X 5 = 36 X 5 = 180
so the answer is 180
hope this helps
