40 cm.

let the length of the first part be 3x, second part be 4x, third part be 5x.

where x is a positive length in cm.

why 3x,4x and 5x ?

so that the ratio of lengths of the 3 parts be 3:4:5.

total length of the stick = 3x + 4x + 5x = 12x=96cm

so x=96/12 = 8cm

therefore the largest part of the stick (5x)= 5*8 =40cm

6 0

3 years ago

Find all points having an x-coordinate of 2 whose distance from the point (-1,-2) is 5

mariarad [96]

$The\ equation\ of\ the\ circle:(x-a)^2+(y-b)^2=r^2\\\\where\ (a;\ b)\ -the\ coordinates\ of\ the\ center;\ r-the\ radius\\-----------------------------\\(-1;-2)-the\ center\ of\ the\ circle\\r=5\\\\The\ equation:(x+1)^2+(y+2)^2=5^5\\\\Put\ x=2\ to\ the\ equation:\\\\(2+1)^2+(y+2)^2=25\\3^2+(y+2)^2=25\\9+(y+2)^2=25\\(y+2)^2=25-9\\(y+2)^2=16\iff y+1=\pm\sqrt{16}\\\\y+1=-4\ or\ y+1=4\ \ \ \ \ |subtract\ 1\ from\ both \sides\\y=-5\ or\ y=3\\\\Answer:(2;-5)\ and\ (2;\ 3).$

5 0

4 years ago

Find the value of angle y?

tankabanditka [31]

Value of angle Y is 180-51

8 0

3 years ago