The slope of the first equation is -2, you can see it right off.
the slope of the second equation is 2, notice both are in slope-intercept form.
both equations are the equations of a line, so is really just two lines.
because their slope differs, they're not parallel or equivalent, therefore, they lines do meet at some point, and one point only, and therefore, they have 1 solution only.
a system of equations with at least 1 solution, is a consistent system.
a consistent system with exactly 1 solution only, is not just consistent, but also independent.
41/6-5/6 = 36/6
36/6= 6
So 5/6 would need to be subtracted to develop a fraction that divides to 6
Answer:
16 and 4
Step-by-step explanation:
x + y= 20
x -y =12
(add both equal #'s)
2x =32
x = 16
y=4
♡
Answer:
6283 in³
Step-by-step explanation:
The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.
Since the cardboard box is in the shape of a cube, its volume V = L³
So, L = ∛V
Since V = 12000 in³,
L = ∛(12000 in³)
L= 22.89 in
So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2
So, V = 4π(L/2)³/3
= 4πL³/8 × 3
= πL³/2 × 3
= πL³/6
= πV/6
= π12000/6
= 2000π
= 6283.19 in³
≅ 6283.2 in³
= 6283 in³ to the nearest whole cubic inch
Answer:
=1232cm^3
Step-by-step explanation:
Volume of a cylinder=πr^2h
Where r=radius=diameter/2=14/2=7 cm
h=height=8 cm given
π=22/7
Volume of cylinder=πr^2h
=22/7x7x7x8=154x8=1232cm^3