Answer:
1 hr 35 min
Step-by-step explanation:
find the minutes by subtracting 50 and 15 and the hours by adding 1 hr to 3:00 which is 4:00 then so you get 1 hour and 35 minutes.
Answer:
Kevin is 6
Step-by-step explanation:
Let k represent Kevin's age now. Then Brendon's age now is (k-3). Two years ago the relationship of their ages was ...
k-2 = 4((k-3) -2)
k -2 = 4k -20 . . . . . eliminate parentheses, collect terms
3k = 18 . . . . . . . . . . add 20-k
k = 6 . . . . . . . . . . . . divide by 3
Kevin is 6 now.
Answer:
x=92
Step-by-step explanation:
those to angles are supplementary meaning that they add up to equal 180
so you set up the equation 180=x+x-4
180=2x-4
step 1 add 4 to each side
184=2x
step 2 divide each side by 2
x=92
so the angles equal 92 and 88
About three times. Just divide 74 by 20 which is 3 but exactly it is 3.7.
hoped it helped
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.
