Answer:
1.
centre(h,k)=(-13,9)
radius (r)=6
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x+13)²+(y-9)²=6²
x²+26x+169+y²-18y+81=36
x²+y²+26x-18y+169+81-36=0
x²+y²+26x-18y +214=0
is a required equation of the circle.
2.
centre(h,k)=(1,-1)
radius (r)=11
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-1)²+(y+1)²=11²
x²-2x+1+y²+2y+1=121
x²+y²-2x+2y=121-2
x²+y²-2x+2y=119
is a required equation of the circle.
Answer:
Step-by-step explanation:
Let c represent the total cost of booking either Uber or Lyft for x miles.
Let m represent the number of miles ridden with either Uber or Lyft.
Uber charges $0.80 per mile and a booking fee of $2.30. This means that the total cost of riding with Uber for m miles would be
c = 2.30 + 0.8m - - - - - - - - - -1
Lyft charges $1.07 per mile with no booking fee. This means that the total cost of riding with Lyft for m miles would be
c = 1.07m - - - - - - - - - -2
Equation 1 and equation 2 are the system of equations that bests models this situation
Answer:
0.8224
Step-by-step explanation:
Data
- standard deviation, sd: $10
- first value of interest, x1: $63
- second value of interest, x2: $90
z-score for x1:
z1 = (x1 - mean)/sd = (63 - 76)/10 = -1.3
z-score for x2:
z2 = (x2 - mean)/sd = (90 - 76)/10 = 1.4
The proportion of wrist watch prices are between $63 and $90 is:
P(z1 < z < z2) = P(z < 1.4) - P(z < -1.3)
P(z < 1.4) = 0.9192 (see first picture attached)
P(z < -1.3) = 0.0968 (see second picture attached)
P(z1 < z < z2) = 0.9192 - 0.0968 = 0.8224
If <span>y = -x + 7, and (-1,y) is on the graph, then the following is true: y=-(-1) + 7, or y=8.
Thus, y = a0 = 8.</span>
That does not make any since...