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Answer:
<em>d</em> = or 8.60
Step-by-step explanation:
(5, 8) (-2, 3)
Let 5 =
8 =
-2 =
3 =
Plug in the values into the equation to get the distance:
<em>d = </em><em />
<em>d </em>=
<em>d = </em>
<em>d</em> =
<em>d = </em> or 8.60
Answer:
3rd option
Step-by-step explanation:
( factorise numerator and denominator )
3x² - 3 ← factor out 3 from each term
= 3(x² - 1²) ← x² - 1 is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
x² - 1
= x² - 1²
= (x - 1)(x + 1) , then
3x² - 3 = 3²(x - 1)(x + 1) ← in factored form
--------------------------------
x² - 5x + 4
consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)
the factors are - 1 and - 4 , since
- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then
x² - 5x + 4 = (x - 1)(x - 4)
then
=
← in factored form