Answer: in the 4th quadrant
Step-by-step explanation:
it needs to be in y=mx+b (slope form) so it would be
- -y=-1/2x+2
- then divide everything by -1
- which is y=1/2 -2
- b=-2 m=1/2
- if you were to graph it, the line would be in the 4th quadrant
Answer:
2.26 in
Step-by-step explanation:
Given: the area of the slice is 4 in^2.
The formula for the area of a circle is A = (pi)(r)^2, where r is the radius.
Therefore,
A = 4 in^2 = (pi)(r^2), or
4 in^2
r^2 = ------------ = 1.273
pi
Since the area of the slice is A = (pi)(r^2), and since (d/2)^2 = r^2 = d^2/4
A = (4 in^2) = (pi)(d^2 / 4)
Solving for d^2, we divide both sides by pi/4, obtaining:
4 in^2
---------- = d^2 = 5.093 in^2
pi/4
and so d = √5.093 = 2.26 in (to the nearest 100th)
The 21st term of the given arithmetic sequence is 83. The nth term of an arithmetic sequence is applied to find the required value where n = 21.
<h3>What is the nth term of an arithmetic series?</h3>
The nth term of an arithmetic sequence is calculated by the formula
aₙ = a + (n - 1) · d
Here the first term is 'a' and the common difference is 'd'.
<h3>Calculation:</h3>
The given sequence is an arithmetic sequence.
3, 7, 11, 15, 19, ....
So, the first term in the sequence is a = 3 and the common difference between the terms of the given sequence is d = 7 - 3 = 4.
Thus, the required 21st term in the sequence is
a₂₁ = 3 + (21 - 1) × 4
⇒ a₂₁ = 3 + 20 × 4
⇒ a₂₁ = 3 + 80
∴ a₂₁ = 83
So, the 21st term in the given arithmetic sequence is 83.
Learn more about the arithmetic sequence here:
brainly.com/question/6561461
#SPJ1
Answer:
were is the qn?
Step-by-step explanation:
Answer:
Two-variable inequalities from their graphs (video)
Step-by-step explanation: