<h2>
The area of a triangle is =54 square units</h2><h2>
The perpendicular distance from B to AC is = 
</h2>
Step-by-step explanation:
Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)
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 = 
= 
=
units
Let the perpendicular distance from B to AC be = x
According To Problem
⇔
units
Therefore the perpendicular distance from B to AC is =
The number is x
it is negative
the square is 28 more than 3 times itself
x²=28+3x
minus (28+3x)
x²-3x-28=0
factor
(x-7)(x+4)=0
set to zero
x-7=0
x=7
this is not the answer because we were told the number was negative
x+4=0
x=-4
correct
the number is -4
test
(-4)²=28+3(-4)
16=28-12
16=16
check
the number is -4
Answer:
Total amount = R5112
Step-by-step explanation:
Let the cooks be C.
Let the waiters be W.
Given the following data;
Number of cooks, C = 2
Number of waiters, W = 3
a. To find the amount earned by each cook;
C = 36 * R36 = R1296
b. To find the amount earned by each waiter;
W = 30 * R28 = R840
c. To find the total amount earned by the employees;
Total amount = 2C + 3W
Total amount = 2(1296) + 3(840)
Total amount = 2592 + 2520
Total amount = R5112
The answer is: D
Step-by-step explanation:
Direction: Opens Up
Vertex: (
−1/2, −25/4)
Focus: (−1/2, −6)
Axis of Symmetry: x = -12
Directrix: y = -132
Answer: I think its B
Step-by-step explanation: hoped this helped :)
