Answer:
see explanation
Step-by-step explanation:
There is a common difference d in the values, that is
9 - 5 = 13 - 9 = 17 - 13 = 21- 17 = 4
To obtain a term in the sequence add 4 to the previous term, thus
t₉ = t₈ + 4 → C
(b)
Given the n th term formula 3n - 8
To find any term, substitute the term position n into the formula
(i) first term (n = 1), then
3(1) - 8 = 3 - 8 = - 5
(ii) tenth term (n = 10, then
3(10) - 8 = 30 - 8 = 22
(iii) 100 th term ( n = 100), then
3(100) - 8 = 300 - 8 = 292
Answer:
(2, 1)
Step-by-step explanation:
A line that passes through the origin and has a slope of 1/2 can be best represented as y = 1/2x
it starts at the origin
goes 2 units to the right
1 unit above
2 units to the right + 1 unit above = (2, 1)
Final Answer: (2, 1)
Answer:
<h2>3600</h2>
Step-by-step explanation:
Shift the decimals of both 213480 and 59.3 to the right by 2 decimal places. (This is needed to convert 59.3 to 5930, since long division must divide by a whole number.)
21348000÷5930
Therefore, 213480\div 59.3=3600213480÷59.3=3600.
Answer:
-44f - 12
Step-by-step explanation:
Here's the method :
-10f - 6 (-9f + 2 )
-10f + 54f - 12
-44f - 12
Answer:
D. (y +4)² = -4(x -2)
Step-by-step explanation:
The directrix is a vertical line, and the focus is to the left of it. The parabola will open to the left.
The vertex is halfway between the focus and directrix, so is located on the same horizontal line as the focus, at ...
x = (1 +3)/2 = 2
The focus to vertex distance is the difference in x-coordinates: 1 -2 = -1. This is the value of p in the form ...
(y -k)² = 4p(x -h) . . . . . . . parabola with vertex (h, k)
The equation is ...
(y +4)² = -4(x -2)
_____
<em>Additional comment</em>
Once you determine that the directrix is a vertical line, you know the equation will have a y² term. The only answer choice that has that is D.
