It would be: {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}
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
2/3 cups of pineapple juice, 4/3 cups of orange juice and 2 cups of seltzer for 3 servings.
Answer:
10.7 feet
Step-by-step explanation:
The ladder, the ground and the wall form the shape of a right angled triangle as shown in the image below.
The hypotenuse of the triangle is 14 feet (length of ladder)
The base of the triangle is 9 feet long (the distance from the base of the ladder to the wall)
We need to find the height of the triangle. We can apply Pythagoras rule:
where hyp = hypotenuse
a = base of the triangle
b = height of the triangle
Therefore:
The wall reaches 10.7 feet high.
Answer:B
Step-by-step explanation:
y=13xy=\dfrac{1}{3}xy=31xy, equals, start fraction, 1, divided by, 3, end fraction, x
