9514 1404 393
Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
Answer:
Step-by-step explanation:
x = 70 degree (being vertically opposite angles)
y + 70 degree =180 degree (being linear pair)
y = 180 - 70
y = 110 degree
In triangle,
x + 60 + misssing angle = 180 degree (sum of interior angles of a triangle)
70 + 60 + missing angle =180
130 + missing angle = 180
missing angle = 180 - 130
missing angle = 50 degree
c = missing angle (being vertically opposite angles )
c = 50 degree
x + missing angle = a (sum of two interior opposite angles is equal to the exterior angle formed)
70 + 50 = a
120 degree = a
a = b (being vertically opposite angle
120 =b
therefore b is 120 degree
Hence , a = 120 degree , b = 120 degree , c = 50 degree , x = 70 degree , y = 110 degree
Answer:
a) 0.5198 computers per household
b) 0.01153 computers
Step-by-step explanation:
Given:
number of computers in a home,
q = 0.3458 ln x - 3.045 ; 10,000 ≤ x ≤ 125,000
here x is mean household income
mean income = $30,000
increasing rate, 
= $1,000
Now,
a) computers per household are
since,
mean income of $30,000 lies in the range of 10,000 ≤ x ≤ 125,000
thus,
q = 0.3458 ln(30,000) - 3.045
or
q = 0.5198 computers per household
b) Rate of increase in computers i.e 
= 
or
on substituting the values, we get
or
= 0.01153 computers
Start at one of the vertices and draw a line from there to a point on the oposite side, not ending at another vertex
Find an explicit formula for the geometric sequence −1,−7,−49,−343,...-1\,,-7\,,-49\,,-343,... −1,−7,−49,−343
umka21 [38]
So we see it times 7 each time
starting with -1
geometric
an=a1(r)^(n-1)
a1=first term
r=common ratio
first term is -1
r=7
is the formula
also can look like this:
