Hello,
x²-16x+y²+6y+53=0
==>x²-2*8*x+8² + y²+2*3*y+3²+53-64-9=0
==>(x-8)²+(y+3)²=20
Center is (8,-3) and radius =√20
Answer:
Perimeter=36in
Length of one side=12
Length of the other side=12
Width of one side=6
Width of the other side=6
Step-by-step explanation:
6*2=12, so if the length is 12 half would be six. All of them added up is 36
9514 1404 393
Answer:
30x +25y = 148
Step-by-step explanation:
We can use substitution to find the point of intersection of ...
Using the second equation, we can write an expression for y:
y = 6 -x
Substituting that into the first equation gives ...
3x +14 = 2(6 -x)
3x +14 = 12 -2x . . . . . eliminate parentheses
5x = -2 . . . . . . . . . . . add 2x-14
x = -0.4 . . . . . . . . . divide by 5
y = 6 -(-0.4) = 6.4
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Now, we want an equation for a line through the point (-0.4, 6.4) that is perpendicular to 5x = 6y+1
The perpendicular line will have the coefficients swapped with one of them negated. The constant will accommodate the given point.
6x = -5y + c
6(-0.4) +5(6.4) = c = 29.6
The perpendicular line can be written ...
6x = -5y +29.6
In standard form, the equation is ...
30x +25y = 148
A. 3.25 or 3 1/4
B. 2
C. .25 or 1/4
D. -.75 or -3/4
E. -2.25 or -2 1/4
F. -3.75 or -3 3/4
X + 4 units
4 x 4 = 16 units
112 - 16 units = 96 units divided by four (number of sides of garden) =
24. X = 24
However to check
24 + 4= 28
x 4
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112 So X=24