Answer:
see below
Step-by-step explanation:
Since AB + BC = AC, x + 3x = 20 → 4x = 20 → x = 5.
AB = x = 5 and BC = 3x = 3 * 5 = 15.
First, let's take a look at the formula to figure this out.
m = y2 - y1/x2 - x1
y2 would be -5, and y1 would be 8. -5 - 8 = -13.
x2 is -6, and x1 is also -6. -6 - -6 would be -12.
So, now we must divide -13 and -12, which results in 1 1/12.
The value of λ is - 2 and other zero is also - 2.
<h3>Justification:</h3>
Let <u>p(x) = 2x² + 3x + λ</u>
<u>Its one zero is 1/2</u>, so p(1/2) = 0
p(1/2) = 2 × (1/2)² + 3 × 1/2 × λ
⇒ 1/2 + 3/2 + λ = 0 ⇒ 4/2 + λ = 0
⇒ 2 + λ = 0 ⇒ λ = - 2
<u>Let the other zero be α</u>,
Then α + 1/2 = - 3/2 ⇒α = - 3/2 - 1/2 = - 2
Answer:
Step-by-step explanation:
Given
Required
Factorization of f(x)
The given zeros imply that:
This gives:
So, some factors are:
(x + 2), (x + 1) and (x - 2)
Divide f(x) by the factors, to get the other factors:
Using a factorization calculator, we have:
Cancel out common terms
Using quadratic formula, we have:
Where
Using complex notation
So:
Simplify the fraction
Split
Equate to 0
The other factors are: (x +2 - 4i) and (x +2 + 4i)
Hence, the factorization of f(x) is:
Answer:
265.356 feet
Step-by-step explanation:
2.457x108= 265.356