The eastern roman empire/ Byzantine Empire fell in 1453. hopefully this helps.
Answer:
x² + 8
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 2x² + 1 - (x² - 7)
= 2x² + 1 - x² + 7 ← collect like terms
= x² + 8
Answer:
a. x² + 10x + 25
Step-by-step explanation:
because
(x + 5)² = (x + 5)(x + 5) = x² + 5x + 5x + 25 = x² + 10x + 25
so, it is a perfect square of (x + 5).
Answer:
3
Step-by-step explanation:
Evaluate x/4 + 6 (x - 12) where x = 12:
x/4 + 6 (x - 12) = 12/4 + 6 (12 - 12)
Hint: | Reduce 12/4 to lowest terms. Start by finding the GCD of 12 and 4.
The gcd of 12 and 4 is 4, so 12/4 = (4×3)/(4×1) = 4/4×3 = 3:
3 + 6 (12 - 12)
Hint: | Look for the difference of two identical terms.
12 - 12 = 0:
6×0 + 3
Hint: | Any number times zero is zero.
0×6 = 0:
0 + 3
Hint: | Simplify the expression.
Write 3 + 0 as 3:
Answer: 3
Answer:
The standard parabola
y² = -18 x +27
Length of Latus rectum = 4 a = 18
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given focus : (-3 ,0) ,directrix : x=6
Let P(x₁ , y₁) be the point on parabola
PM perpendicular to the the directrix L
SP² = PM²
(x₁ +3)²+(y₁-0)² = 
x₁²+6 x₁ +9 + y₁² = x₁²-12 x₁ +36
y₁² = -18 x₁ +36 -9
y₁² = -18 x₁ +27
The standard parabola
y² = -18 x +27
Length of Latus rectum = 4 a = 4 (18/4) = 18