Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r = ![\sqrt[3]{216}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%7D)
= 6
Answer:
Step-by-step explanation:
We can directly substitute y of the first equation to the second equation.
-2x - 1 = 3x - 16
5x = 15
x = 3
Substituting back to any of the two equations, we get y = -2(3)-1 = -7. If you check with the second equation, y = 3(3)-16 = -7 as well.
Therefore .
Answer:
x-y-4=0
Step-by-step explanation:
x1=2
X2=8
y1=-2
y2=4
slope=y2-y1/x2-x1
=4-(-2)/8-2
=6/6
=1
eqn of line is given by:
y-y1=m(x-x1)
y-(-2)=1(x-2)
y+2=x-2
x-y-4=0
Answer:
wishes.
• He cannot use any number more than once.
• He cannot use powers.
• He cannot put numbers together, eg he can't use 147.
What is the biggest number he can make - show how he can make this number.
