40. 24+26=50 41. I don't understand that one either what grade are you in?
Answer:
Below in bold.
Step-by-step explanation:
If the 3 points are on the circle with the given center then the distance from each point to the center will all be equal. This distance will be the radius of the circle.
Distance of P (2, 5) from the center (4, 2)
= √( (5-2)^2 + (2-4)^2)
= √(9 + 4)
= √13.
For Q (6, -1)this distance is:
= √(6-4)^2 + (-1-2)^2)
= √13.
For R (7, 4) his distance is:
= √(7-4)^2 + (4-2)^2)
= √13
These distances are the same so the points P, Q and R lie on the circle.
The midpoint of PQ
= (2+6)/2 , (5 - 1)/2
= (4, 2).
Which is the center so this verifies the second part.
<u>Answer:</u>
37th term of given arithmetic sequence
= 2.3; d = -2.3 is -80.5.
<u>Solution:</u>
Given that
Need to determine 37th term, when
= 2.3, d = -2.3
Means first term of arithmetic sequence =
= 2.3 and common difference d = -2.3
<u><em>Formula for nth term of arithmetic sequence is </em></u>
--- equation 1

We need to determine 37th term so n = 37.
On substituting given values in equation (1) we get


Hence 37th term of given arithmetic sequence is -80.5
Nice and simple. PEMDAS. Parentheses, exponents, multiple, division, addiction, subtraction.
The first thing you do is solve the numbers in the parenthesis, which would turn to
(312) + (714) = 1026