Answer:
32 minutes.
Step-by-step explanation:
Hello there!
Add the time of the movie to the time they arrived:
10:15+48=11:03
Then subtract this number from 11:35
11:35-11:03=32 minutes
:)
9 = 2(6) - b
9 = 12 - b
-3 = b
Answer:
w = 2 cm
Step-by-step explanation:
100 = 25 x 2 x w
w = 2 cm
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.
Answer:
<h2><u><em>
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Step-by-step explanation:
