4 years ago

Find the distance between the points (3, -1) and (4, 6).

2 answers:

6 0

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{3}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[4-3]^2+[6-(-1)]^2}\implies d=\sqrt{(4-3)^2+(6+1)^2} \\\\\\ d=\sqrt{50}\implies d\approx 7.07$

Nuetrik [128]4 years ago

5 0

distance formula so it is $\sqrt[]{50}$

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each cow has 4 legs and each chicken has 2 legs. If a boy counts 42 heads and 144 feet, how many cows are there?

netineya [11]

Solution:

we are given that

Each cow has 4 legs and each chicken has 2 legs.

A boy counts 42 heads and 144 feet.

we have been asked to find how many cows are there?

Let there are x cows and y chicken.

Then we can write

$x+y=42....(i)\\ \\ \text{Sum of Heads}\\ \\ 4x+2y=144\\ \\\\\text{Sum of feet }\\ \\ \Rightarrow 2x+y=72....(ii)\\ \\ \text{Now solve these two equation together we get}\\ \\\\2x+(42-x)=72\\ \\ 2x+42-x=72\\ \\ x=72-42=30\\$