<h3>
Answer: 35</h3>
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Explanation:
Check out the diagram below.
U is between T and V, and U is on segment TV. We can see that the smaller pieces TU and UV add back up to the largest segment TV
TU + UV = TV
17 + 18 = TV
35 = TV
TV = 35
Segment TV is 35 units long.
Answer:
1. 0.2222222
2. .6667
Step-by-step explanation:
for question 1
there can only be 36 outcomes so you find out how many time you could get 7and2 which is 8 from so u write 8.36=.2222
for question 2
divide the outcome by the total out comes example(there are 6 red balls and 4 white out of 15 so you do 10/15=.6667)
One thing everyone always forgets is we don't usually see the <em>entire</em> graph. Once out of the frame, these functions can do anything they want.
From what we can see, only the bottom right one is always decreasing.
Answer: bottom right
By the way, the top right graph (a vertical line) isn't a function.
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:
for the first one its 128 the second one is 4.0 cm
Step-by-step explanation:
