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:
x=10 n=18.5 s=6
Step-by-step explanation:
4x-10=30
Add 10 to both sides
4x-10+10=30+10
4x=40
Divide by 4 on both sides
(4x)/4=40/4
x=10
2n-7=30
Add 7 to both sides
2n-7+7=30+7
2n=37
Divide by 2 on both sides
(2n)/2=37/2
n=18.5
(s/3)+2=4
Subtract 2 from both sides
(s/3)+2-2=4-2
(s/3)=2
Multiply by 3 on both sides
3s/3=2*3
s=6
Answer:
its 25
Step-by-step explanation:
if you are trying to work out -3/4 - (-1/4 - 1/2) then the answer is 0
Answer:
$265.65
Step-by-step explanation:
Given :
WACC: 9.00%
Year 0 1 2 3 Cash flows (-$1,000) $500 $500 $500
The NPV is calculated thus :
Initial cashflow + Σ additional cash flows / (1 + r)
Rate, r = 9% = 0.09
(1 + r) = (1 + 0.09) = 1.09
NPV = - 1000 + (500 / (1.09)¹ + (500 / 1.09)² + (500 / (1.09)³
NPV = - 1000 + 458.71559 + 420.83999 + 386.09174
NPV = 265.64732
NPV = 265.65 (2 DECIMAL PLACES)