On the map the ratio is 3cm:4km
The map distance is 24cm
Our overall ratio is 3 : 4
24 : ?
We can find the scale factor by doing 24/3 which is 8. Then do 8 x 4 = 32km
The actual distance is therefore 32km
Answer:
Therefore the required polynomial is
M(x)=0.83(x³+4x²+16x+64)
Step-by-step explanation:
Given that M is a polynomial of degree 3.
So, it has three zeros.
Let the polynomial be
M(x) =a(x-p)(x-q)(x-r)
The two zeros of the polynomial are -4 and 4i.
Since 4i is a complex number. Then the conjugate of 4i is also a zero of the polynomial i.e -4i.
Then,
M(x)= a{x-(-4)}(x-4i){x-(-4i)}
=a(x+4)(x-4i)(x+4i)
=a(x+4){x²-(4i)²} [ applying the formula (a+b)(a-b)=a²-b²]
=a(x+4)(x²-16i²)
=a(x+4)(x²+16) [∵i² = -1]
=a(x³+4x²+16x+64)
Again given that M(0)= 53.12 . Putting x=0 in the polynomial
53.12 =a(0+4.0+16.0+64)

=0.83
Therefore the required polynomial is
M(x)=0.83(x³+4x²+16x+64)
Answer:
6(9+3)
Explanation:
Add 9 and 3 which is 9 + 3
THEN multiply by 6 which is 6(9 + 3)
I put parentheses because it's sayings to add first and then multiply!
Answer:
497,725
just subtract smallest from largest to get the difference
724,435 - 226,710