Answer:
Step-by-step explanation:
Let
x----->number of games won by the football team
we know that
so
Given :
Xanthe and Sarah together raised $302 .
If Xanthe raised $102 more than Sarah .
To Find :
The amount raised by Sarah .
Solution :
Let , amount raise by Sarah is x .
So , by the relation given , price raised by Xanthe is 102 + x .
Now , sum of their amount raised is :
Therefore , the amount raised by Sarah is $100 .
Hence , this is the required solution .
When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.
The first factor is x - (a + √b).
The second factor is x - (a - √b).
The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
= x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
= x² - 2ax + x√b - x√b + a² - b
= x² - 2ax + a² - b
This is a quadratic polynomial, as expected.
If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
= a +/- (1/2)*√(4b)
= a +/- √b
x = a + √b, or x = a - √b, as expected.
Hello,
tan 60°=√3
d/39=tan 60°==>d=39/√3=39√3/3=13√3=22,516660498... (m)
Jannelle could go 4,720 miles hope this helps
