Answer:
The possible coordinates of point A are
and
, respectively.
Step-by-step explanation:
From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:
(1)
Where:
- Length of the line segment AB.
- x-coordinates of points A and B.
- y-coordinates of points A and B.
If we know that
,
,
and
, then the possible coordinates of point A is:




There are two possible solutions:
1) 

2) 

The possible coordinates of point A are
and
, respectively.
Answer:
slope = -2/3
y-intercept = -2
Step-by-step explanation:
3y + 6 = -2x
Conver to slope intercept form
3y = -2x - 6
y = -2/3x - 2
Follow the form y = mx + b, so m is the slope and b is the y-intercept
Answer:
<u>131 seats</u> are in the 30th row.
Step-by-step explanation:
The theater is designed with the first row there are 15 seats, in second row 19 seats and in the third row there are 23 seats.
Now, to find the number of seats in the 30th row.
So, we get the common difference(
) from the arithmetic sequence first:

Thus,
So, the first tem
= 15.
The number of last row (
) = 30.
Now, to get the number of seat in the 30th row we put formula:





Therefore, 131 seats are in the 30th row.
The z-score of the information given is:
z=(x-μ)/σ
where
μ-mean
σ- standard deviation
from the information given:
x=93.02
μ=89
σ=√625=25
hence
z=(93.02-89)/25
z=0.1608
thus
P(X≥x)=1-0.5636=0.4364=43.64%