C. Infinitely many of solutions
Answer:
m=-3
x1,y1=1,-5
we have,
y-y1=m(x-x1)
y-(-5)=-3(x-1)
y+5=-3x+3
3x+y+2=0 is the required eqn
828 small spheres can be made from the metal.
Step-by-step explanation:
Side of the cube = 4.5cm
Volume = (a x a x a)
= (4.5 x 4.5 x 4.5)
= 91.125 cubic cm
Radius of the sphere = 3mm = 0.3 cm
Volume of 1 sphere = (4/3) π(r x r x r)
= (4/3) (3.14) (0.3 x 0.3 x 0.3)
= (4/3) (3.14) (0.027)
= 0.34/3
= 0.11 cubic cm
No. of spheres = 91.125/0.11
= 828.4
So, 828 small spheres can be made from the metal.
Answer:
29.7
Step-by-step explanation:
y = 2.7x + 2.7
y = 2.7(1) + 2.7 = 5.4
y = 2.7(2) + 2.7 = 5.4 + 2.7 = 8.1
y = 2.7(3) + 2.7 = 8.1 + 2.7 = 10.8
y = 2.7(4) + 2.7 = 10.8 + 2.7 = 13.5
y = 2.7(10) + 2.7 = 27 + 2.7 = 29.7