Answer:
each person can get 3/12 if you split the 3.4 twice.
Step-by-step explanation:
make a circle
split one line down the middle and the other horizontal.
color is one of the corners. you will not use it. this is the part of the cake they already ate.
now you have three remaining parts.
split each one of the remaining heart down the middle.
now you have six remaining slices.
6 is not divisible by 4.
split the sixths down the middle one more time.
now you should have 12.
12 is divisable by 4.
give each person 3 out of 12 slices of cake.
it is just enough to feed all 4 people.
<h2>
The area of a triangle is =54 square units</h2><h2>
The perpendicular distance from B to AC is = ![\frac{108}{\sqrt{149} } units](https://tex.z-dn.net/?f=%5Cfrac%7B108%7D%7B%5Csqrt%7B149%7D%20%7D%20units)
</h2>
Step-by-step explanation:
Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)
![x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and y_3=8](https://tex.z-dn.net/?f=x_1%3D2%2Cy_1%3D1%2Cx_2%3D12%2Cy_2%3D2%2Cx_3%3D12%20and%20%20%20%20%20%20y_3%3D8)
The area of a triangle is= ![\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Bx_1%28y_2-y_3%29%20%2Bx_2%20%28y_3-%20y_1%29%2Bx_3%28y_1-y_2%29%5D)
=![|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|](https://tex.z-dn.net/?f=%7C%5Cfrac%7B1%7D%7B2%7D%20%5B2%282-8%2B12%288-1%29%2B12%281-2%29%5D%7C)
=
= 54 square units
The length of AC = ![\sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_1-x_3%29%5E%7B2%7D%20%2B%28y_1-y_3%29%5E2%7D)
= ![\sqrt{(2-12)^{2} +(1-8)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%282-12%29%5E%7B2%7D%20%2B%281-8%29%5E2%7D)
=
units
Let the perpendicular distance from B to AC be = x
According To Problem
![\frac{1}{2} \times x \times \sqrt{149} = 54](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%20x%20%5Ctimes%20%5Csqrt%7B149%7D%20%3D%2054)
⇔
units
Therefore the perpendicular distance from B to AC is = ![\frac{108}{\sqrt{149} } units](https://tex.z-dn.net/?f=%5Cfrac%7B108%7D%7B%5Csqrt%7B149%7D%20%7D%20units)
Answer:
A repeating decimal...
Step-by-step explanation:
Because the numbers after the decimal points keep repeating.
Answer:
infinite points along the line
Step-by-step explanation:
This is the equation for a line. A line has infinite points. So there are infinite solutions along the line
Answer: x^2(1-4x)
Explanation: factor x^2 out of x^2 - 4x^3