Answer:
Option A.
Step-by-step explanation:
Circle contains all points in a plane that are equidistant from a point, i.e., center of the circle.
The locus of points 9 units from the point (-1,3) on the coordinate plane.
It means, the figure represents the set of all points which are 9 units from the point (-1,3).
So, the given describes a circle with of 9 units and center at (-1,3).
Therefore, the correct option is A.
Answer:
The new pressure is 4.27 pounds
Step-by-step explanation:
In this question, we have the volume varying inversely as the pressure;
Firstly, let's say the volume is V and the pressure is P
Mathematically;
V ∝ 1/P
Let us insert a constant of proportionality K
⇒ VP = K
Let's calculate the value of K
K = 32
× 8 = 256 
Now in the second scenario, pressure is unknown but we know the volume to be 60
Recalling; VP = K
P = K/V = 256 /60 = 4.27 pounds
The two positive consecutive integers we'll call x and x+2. then (x+2)² - x² =68
x²+4x+4-x²=68
4x=64
x=16
the integers are 16 and 18
Answer:
P = 150 - 25w
Step-by-step explanation:
Amount borrowed = $150
Repayment amount = $25 each week
P = amount Nancy owes
w = number of weeks
Amount Nancy owes = amount borrowed - repayment plan per week
P = 150 - 25w
During the first week of repayment: when w = 1
P = 150 - 25w
P = 150 - 25(1)
= 150 - 25
= 125
P = $125
Answer:
(-1/3)v - 14/15
Step-by-step explanation:
Group the v terms together and then the constant terms:
v(-2/3 + 1/3) + (-6/5 + 4/15)
This simplifies to:
(-1/3)v + (-18/15 + 4/15), or
(-1/3)v - 14/15
