Answer:
csc (- 30)° = - 2
Step-by-step explanation:
Using the trigonometric relationship
csc x = 
and the exact value sin30° = 
sin(- 30)° = - sin30° = - , thus
csc (- 30)° = 
= - 2
The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)
Example for the sum of cubes:
64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers
By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)
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The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)
Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
= (5x - 2y) (25x² + 10xy + 4y²)
Answer:
825.5 miles of coastline
Step-by-step explanation:
The United States has 12383 miles of coastline.
0.8% of the coastline is in Georgia
Total number of coastline in Georgia will be
0.8% /100% x 12383
0.0667 x 12383
825.5
So there are 825.5 miles of coastline Georgia
Answer:
1. If you're taking square roots, the number must be a perfect square to give a rational root.
64 = 8^2, so √64 = 8 is rational
Similarly, since
64 = 4^3, ∛64 = 4 is rational.
For small numbers, it's easy to check for possible roots, as there aren't that many candidates. In general, it's much more difficult.
2.
Step-by-step explanation:
First, find the slope of the line thru these 2 pts:
5-4
m = --------- = -1/2
2 -4
Use the slope-intercept formula y = mx + b:
5 = (-1/2)(2) + b. Then the y-intercept is 5 + 1, or 6: y = (-1/2)x + 6
Multiplying this entire result (3 terms) by 2 results in 2y = -x + 12, or
x + 2y = 12 (answer)
