Step-by-step explanation:
Centre of circle(h,k)=(1,-4)
radius of the circle(r)=2
Equation of the circle is,
(x-h)^2+(y-k)^2=r^2
(x-1)^2+(y+4)^2=2^2
x^2-2x+1+y^2+8y+16=4
x^2+y^2-2x+8y+13=0 is the req.equation of the circle.
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Answer:
square feet
Step-by-step explanation:
The dimensions of the photo is 4/5 by 1 7/8 of a foot.
But,
1 7/8 =
feet
So that,
length of the photo =
feet
width of the photo =
feet
The area of the photo = length x width
=
x 
= 
= 
Area of the painted photo is
square feet.
9514 1404 393
Answer:
m = 35
n = 110
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
n° = 180° -70°
n = 110
Opposite angles in a parallelogram are congruent.
2m° = 70°
m = 35 . . . . . . divide by 2°
Answer:
Step-by-step explanation:
$ 3750 = truck rental; $125 per ton of sugar transported
C is cost; S is number of tons transported
Equation relating C to S would be a linear equation like y = mx + b
C = 125S + $3750
This equation would be graphed in the first quadrant only
you would start with your y-intercept at (0, 3750)
As x increases by 1, your y increases by 125 yielding these points:
(1, 3875) (2, 4000) (3, 4125) etc.
This shows that for each increase by one ton of sugar, the cost goes up $125
1)Cost of 1 ton = $ 2000
Cost of 2 ton = $3500
Cost of 3 ton = $5000
$ 1500 increase for each of ton of sugar being transported.
2) (1 , 2000) ; (2 , 3500)
Slope =
= 1500