Hello :
let : z = 4-3ii z' = -2+7i
the distance between the points 4-3i and -2+7i is : <span>|z - z' |
</span> |z - z' | = |4-3i+2-7i| = |6-10i | =√(6²+(-10)²) =√136
the answer is d or the last one
<h3>
Answer: 8</h3>
Work Shown:
f(x) = 5x - 7
f(3) = 5(3) - 7 .... every x replaced with 3
f(3) = 15 - 7
f(3) = 8
1) 3j + 5p = 7.60 and 1j + 2p = 2.90
2) Solving for j and p
j = 2.90 - 2p
3(2.90 - 2p) + 5p = 7.60
8.7 - 6p + 5p = 7.60
8.7 - p = 7.60
-p = -1.1
p = 1.1
1j + 2(1.1) = 2.9
j + 2.2 = 2.9
j = .7
3) The values of p and q:
p = $1.1 per pancake, j = .70 cents per glass
Answer: 15
Step-by-step explanation:
(r+1)th term of 
is given by:-
For 
, n= 6
![=\ \dfrac{6!}{4!2!}a^4b^2\ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{6\times5\times4!}{4!\times2}a^4b^2\\\\=3\times5a^4b^2\\\\ =15a^4b^2](https://tex.z-dn.net/?f=%3D%5C%20%5Cdfrac%7B6%21%7D%7B4%212%21%7Da%5E4b%5E2%5C%20%5C%20%5C%20%5B%5EnC_r%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D%5D%5C%5C%5C%5C%3D%5Cdfrac%7B6%5Ctimes5%5Ctimes4%21%7D%7B4%21%5Ctimes2%7Da%5E4b%5E2%5C%5C%5C%5C%3D3%5Ctimes5a%5E4b%5E2%5C%5C%5C%5C%20%3D15a%5E4b%5E2)
Hence, the coefficient of the third term in the binomial expansion of is 15.
