Answer:
C.) 5, 12, 13
Step-by-step explanation:
In a right triangle, the sum of the squares of the two shorter sides must equal the square of the longest side (Pythagoras).
a² + b² = c²
We can test each set of numbers to see which one fits.
A.) 8² + 12² = 16²
64 + 144 = 256
208 ≠ 256
B.) 6² + 7² = 8²
36 + 49 = 64
85 ≠ 64
C.) 5² + 12² = 13²
25 + 144 = 169
169 = 169
The numbers 5, 12, and 13 could represent the lengths of the sides of a right triangle.
D.) 16² + 32² = 36²
256 + 1024 = 1296
1280 ≠ 1296
Answer:
121.
Step-by-step explanation:
So, the 11th square number is 121.
Answer:
-6.5
Step-by-step explanation:
x + 3.6 = -2.9
x= -6.5
Answer: There are no real number roots (the two roots are complex or imaginary)
The discriminant D = b^2 - 4ac tells us the nature of the roots for any quadratic in the form ax^2+bx+c = 0
There are three cases
- If D < 0, then there are no real number roots and the roots are complex numbers.
- If D = 0, then we have one real number root. The root is repeated twice so it's considered a double root. This root is rational if a,b,c are rational.
- If D > 0, then we get two different real number roots. Each root is rational if D is a perfect square and a,b,c are rational.
Answer:
The correct option is (A).
Step-by-step explanation:
The function representing the growth of number, in billions, of the DNA sequences in a database x years since 2010 is:
The general growth function can be represented as:
Here,
<em>y</em> = final value
<em>a</em> = initial value
<em>r</em> = growth rate
<em>t</em> = time
Com-paring the two functions we get:
This implies that the annual increase rate in number, in billions, of the DNA sequences is 32%.
Thus, the correct option is (A).
