Answer:
Step-by-step explanation:
circle A is
x²+y²+6x-4y-12=0
x²+6x +y²-4y =12
think (a+b)² = a²+2ab+b² we have a=x, b= 3
and (a-b)² = a²-2ab+b² so we have a=y, b=2
x²+6x +9 +y²-4y+4 = 12-9-4
(x+3)² +(y-2)²= -1
compare to the general equation of a circle (x-h)²+(y-k)² =r²
the center is at (-3,2) and the radius is √-1 =i
Circle B has center (0, -4) and radius 3 so the equation is
(x-0)²+(y-(-4))² =3²
x² +(y+4)² = 9
point (√8, -3) is on the circle if it verifies the equation
√8² +(-3+4)² = 9
8+1 =9 true so the point is on the circle
Circle A and circle B are not similar because they do not have the same center and radius
constant of proportionality => COP
3: P(triangle ABC) = 84
COP = 18/15 = 1.2
Since you are finding the larger triangle, multiply the other numbers by 1.2
25 * 1.2 = 30
28 * 1.2 = 33.6
17 * 1.2 = 20.4
add them all up (answer up top)
5: P(triangle ABC) = 61.2
COP = 9/5 = 1.8
Since you are finding the larger triangle, multiply the other numbers by 1.8
9 * 1.8 = 16.2
13 * 1.8 = 23.4
12 * 1.8 = 21.6
add them all up (answer up top)
6: P(triangle RST) = 110
RP and PT are congruent, this means that PT is also 20
COP = 40/20 = 2
Since you are finding the larger triangle, multiply the other numbers by 2
25 * 2 = 50
20 * 2 = 40
10 * 2 = 20
add them all up (answer up top)
Answer:
y = 4/5x
Step-by-step explanation:
Her ya go!
25(cards per month) x12(months in one year) =300 cards at the end of one whole year
