Answer:
nth term = 523 + 24(n - 1
Step-by-step explanation:
This is modelled by an arithmetic series where first term a1 = 523 and common difference d = 24.
nth term = a1 + d(n - 1).
Here it is 523 + 24(n - 1) (answer)
Answer:
x = 3
y = 1
Step-by-step explanation:
9x - y = 26 ---------------(I)
9x + y = 28 ---------------(II)
9x - y = 26
9x = 26 + y
Substitute 9x = 26 + y in equation (II)
26 + y + y = 28 {add like terms}
26 + 2y = 28 {subtract 26 from both sides}
2y = 28 - 26
2y = 2 {divide both sides by 2}
y = 2/2
y = 1
Substitute y =1 in equation (I)
9x - 1 = 26
9x = 26 + 1
9x = 27
x = 27/9
x = 3
x = 3
y = 1
9514 1404 393
Answer:
(b) (1, 1/6)
Step-by-step explanation:
The "unit rate" is always the y-value for x=1 when the relationship is proportional (as it is here).
That point is not specifically shown on the graph. It would be (1, 1/6).
Answer:
Step-by-step explanation:
Recall the formula for the sine of the double angle:
we know that 
, and that 
is in the interval between 0 and 90 degrees, where both the functions sine and cosine are non-negative numbers. Based on such, we can find using the Pythagorean trigonometric property that relates sine and cosine of the same angle, what 
is:
With this information, we can now complete the value of the sine of the double angle requested:
