X²+y²-8x+12y+27=0
x²+y²-8x+12y=-27
x²-8x +y²+12y = -27
x²-8x+16 + y+12y+36 = -27+16+36=25
(x-4)² + (y+6)² = 25
a circle centered at (4,-6) with a radius of 5
Problem 1.
Think of the outer rectangle by joining the two 5 in. sides with a segment.
Now you have an outer blue rectangle with a white rectangle missing.
For the outer rectangle:
The top and bottom sides measure 28 in.
The left and right sides measure 5 in. + 12 in. + 5 in. = 22 in.
Area of the outer rectangle = LW = 28 in. * 22 in. = 616 in.^2
Now look at the white square. You need to subtract this area from the outer rectangle.
area of white rectangle = LW = 12 in. * 15 in. = 180 in.^2
Subtract the areas:
616 in.^2 - 180 in.^2 = 436 in.^2
Answer:
<span>A. 436 Square Inches
Problem 2.
Do the same thing as for problem 1. Join the two 4 in. segments with a line.
</span>
<span>Think of the outer rectangle by joining the two 4 in. sides with a segment.
Now you have an outer blue rectangle with a white rectangle missing.
For the outer rectangle:
The top and bottom sides measure 24 in.
The left and right sides measure 4 in. + 12 in. + 4 in. = 20 in.
Area of the outer rectangle = LW = 24 in. * 20 in. = 480 in.^2
Now look at the white square. You need to subtract this area from the outer rectangle.
area of white rectangle = LW = 12 in. * 13 in. = 156 in.^2
Subtract the areas:
480 in.^2 - 156 in.^2 = 324 in.^2
Answer:
</span><span>B. 324 Square Inches</span>
Answer:
last one
Step-by-step explanation: 25 divided by four is 6.25
Answer:
Main difference between circle & ellipse
Step-by-step explanation:
Circle is a line forming a close loop, all points on the loop line are at equal distance from the centre, that distance is called Radius. Eg : Wheel
Ellipse is also a close loop line, such that distance of locus of all points on the plane to two fixed points (foci) always sum up to same constant. Eg : Orbits of planets
