Stance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(3,5)(7,3)
d = sqrt (7 - 3)^2 + (3 - 5)^2
d = sqrt 4^2 + (-2^2)
d = sqrt 16 + 4
d = sqrt 20
d = 4.47....rounded = 4.5
How to get answer for number 1: | 4+2i |

How to get answer for number 2: | 5-i |

Number 3 how to get answer: | -3i |
![\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=0,\:b=-3\\=\sqrt{0^2+\left(-3\right)^2}\\Refine\\=\sqrt{9}\\\sqrt{9}\\\mathrm{Factor\:the\:number:\:}\:9=3^2\\=\sqrt{3^2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a\\\sqrt{3^2}=3\\= 3](https://tex.z-dn.net/?f=%5Cleft%7Ca%2Bbi%5Cright%7C%5C%3A%3D%5Csqrt%7B%5Cleft%28a%2Bbi%5Cright%29%5Cleft%28a-bi%5Cright%29%7D%3D%5Csqrt%7Ba%5E2%2Bb%5E2%7D%5C%5C%5Cmathrm%7BWith%5C%3A%7Da%3D0%2C%5C%3Ab%3D-3%5C%5C%3D%5Csqrt%7B0%5E2%2B%5Cleft%28-3%5Cright%29%5E2%7D%5C%5CRefine%5C%5C%3D%5Csqrt%7B9%7D%5C%5C%5Csqrt%7B9%7D%5C%5C%5Cmathrm%7BFactor%5C%3Athe%5C%3Anumber%3A%5C%3A%7D%5C%3A9%3D3%5E2%5C%5C%3D%5Csqrt%7B3%5E2%7D%5C%5C%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da%5C%5C%5Csqrt%7B3%5E2%7D%3D3%5C%5C%3D%203)
Answer:
To make a high estimate for the sum of two fractions, find the commnon denominator and add them.
Step-by-step explanation:
To make a high estimate for the sum of two fractions in a word problem, rhe following steps are required.
Let the two fractions be represented as and
To perfrom the operation +
Step 1 : Check if the denominators of the fraction are same. If so then, then add the numerators directly by keeping the same denominator.
Step 2: If the denominators are different, then find the common denominator between the fractions and multiply them accordingly. Then perform the addition operation.
Answer:
7.324840764
Step-by-step explanation:
23/3.14=7.324840764
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