Jawaban:
1) x² + y² = r²
x² + y² = 40
r² = 40
r = √40
r √4 x √10
r = 2√10
2) x² + y² + 12x - 8y - 12 = 0
titik pusat
( -½ x 12) (- ½ x 8)
titik pusat ( -6, -4)
r = √x² + y²
r = √6² + 4²
r = √36 + 16
r = √52
r = √ 4 x 13
r = 2√13
3) titik pusat ( 8,-5)
r = 4√2
(x -a)² + ( y - b )² = r²
( x - 8)² + (y - (-5))² = (4√2)²
x² - 16x + 64 + y² + 10y + 25 = 16 x 2
x² + y ² -16x + 10y + 64 + 25 - 32 = 0
x² + y² - 16x + 10 + 57 = 0
4) x² + y² = 32 titik ( -7, 3)
x² + y² = r²
x² + y² = 32
r² = 32
r = √32
r = √16 x 2
( x -(-7)² + ( y - 3)² = (4√2)²
( x + 7)² + ( y -3)² = 32
x² - 14x + 49 + y² - 6y + 9 -32 = 0
x² + y² - 14x -6y - 26 = 0
5) p² = l² - ( r1 - r2)²
14² = l² - ( 2 - 4)²
196 = l² - (-2)²
196 = l² - 4
l² = 196 + 2
l = √198
l = 14,07 cm
6) p² = d² - ( r1 + r2)²
16² = d² - ( 8 + 4)²
16² = d² - 12²
256 = d² - 144
d² = 256 + 144
d = √400.
d = 20 cm
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Verified answer
Jawaban:
1) x² + y² = r²
x² + y² = 40
r² = 40
r = √40
r √4 x √10
r = 2√10
2) x² + y² + 12x - 8y - 12 = 0
titik pusat
( -½ x 12) (- ½ x 8)
titik pusat ( -6, -4)
r = √x² + y²
r = √6² + 4²
r = √36 + 16
r = √52
r = √ 4 x 13
r = 2√13
3) titik pusat ( 8,-5)
r = 4√2
(x -a)² + ( y - b )² = r²
( x - 8)² + (y - (-5))² = (4√2)²
x² - 16x + 64 + y² + 10y + 25 = 16 x 2
x² + y ² -16x + 10y + 64 + 25 - 32 = 0
x² + y² - 16x + 10 + 57 = 0
4) x² + y² = 32 titik ( -7, 3)
x² + y² = r²
x² + y² = 32
r² = 32
r = √32
r = √16 x 2
r = 4√2
(x -a)² + ( y - b )² = r²
( x -(-7)² + ( y - 3)² = (4√2)²
( x + 7)² + ( y -3)² = 32
x² - 14x + 49 + y² - 6y + 9 -32 = 0
x² + y² - 14x -6y - 26 = 0
5) p² = l² - ( r1 - r2)²
14² = l² - ( 2 - 4)²
196 = l² - (-2)²
196 = l² - 4
l² = 196 + 2
l = √198
l = 14,07 cm
6) p² = d² - ( r1 + r2)²
16² = d² - ( 8 + 4)²
16² = d² - 12²
256 = d² - 144
d² = 256 + 144
d = √400.
d = 20 cm
Semoga membantu dan tidak keliru