9514 1404 393
Answer:
r = √(A/π)
Step-by-step explanation:
Solve for r. Do this by dividing by the coefficient of the r² term, then taking the square root.
A = πr²
A/π = r²
r = √(A/π)
If you find the discriminant it will tell you the number and types of roots. The discriminant is the value b^2 -4ac.
a = 1
b = 1
c = 1
1^2 - 4*1*1
1-4 = -3
Since this is a negative number there will be 2 complex roots.
Answer:
Rhian did better in the Math test.
Step-by-step explanation:
Given: Rhian scored 
out of 
in a Math test. In the English test she scored 
out of 
.
To find: In which test did she do better?
Solution:
We have,
Rhian scored out of in a Math test.
Rhian scored out of in an English test.
So, first we need to find the percentage of the marks scored.
Percentage in the Math test 
.
Percentage in the English test 
.
Clearly, the percentage in the Math test is greater than the percentage in the English test.
So, Rhian did better in the Math test.
Answer: Carlos is correct
Step-by-step explanation:
2x^5-250x^2
The first step is to factorize out 2x^2
2x^2(x^3-125)
This can be rewritten as
2x^2(x^3-5^3),
Recall, difference if cube (a^3-b^3)
= (a-b)(a^2 +ab + b^2)
from our equation,
a= x
b = 5.
So the difference of cubes will be
2x^2[(x-5) (x^2 + 5x + 5^2)]
=2x^2[(x-5) (x^2 + 5x + 25)]
Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.
Amber is incorrect because 125 is equal to b3, not b.
Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.
