Answer:
Step-by-step explanation:
if (h,k) is the center and r be radius of circle.
Then eq. of circle is (x-h)^2+(y-k)^2=r^2
reqd. eq. of circle is (x+4)²+(y+5)²=(√6)²
or (x+4)²+(y+5)²=6
Answer:
O is the center of the circle with radius IE(=ID=EF)
Step-by-step explanation:
Join all 3 points D, E, F, forming the triangle DEF.
Let the midpoint of EF be M and the midpoint of ED be N. (first picture)
Join point I to E, D and F.
Since IN is both an altitude and median to triangle EID, then triangle EID is an isosceles triangle, and IE=ID
similarly, we see that IE=IF.
conclusion: IE=ID=EF.
Answer:
The perimeter of rectangle is 
Step-by-step explanation:
Let
x-----> the length of the rectangle
y----> the width of the rectangle
we know that
----> equation A
---> equation B (area of the constructed figure)
substitute the equation A in equation B


using a graphing calculator -----> solve the quadratic equation
The solution is

Find the value of x

Find the perimeter of rectangle

I noticed that this equation is in slope-intercept form (y = mx + b). M = the slope of the line, B = the y-intercept.
If the line is translated (fancy, fancy, talk for MOVED) up. The Y-intercept would change positive (because it is moved up) by four.
4 + 4 equals...well, 8.
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