Answer:

Step-by-step explanation:
we know that
Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.
so

where
a, b and c are the length sides of triangle
s is the semi-perimeter of triangle
we have

Find the semi-perimeter s

Find the area of triangle



Simplify

Answer:
(–19, 55)
Step-by-step explanation:
y = –3x – 2 equation 1
5x + 2y = 15 equation 2
using equation 1 in equation 2 we have:
5x + 2(–3x – 2) = 15
5x –6x – 4 = 15
-x = 15+4
x=-19
using equation 1:
y = -3(-19)- 2
y= 57-2
y= 55
Answer:
1/3
Step-by-step explanation:
for every 1 part of water there is 3 parts juice so if there's only 1 part juice it would be a 1/3
27+3x-31=20
-4+3x=20
+4 +4
3x=24
X=8
The price of one bag of popcorn is $3.75
Step-by-step explanation:
Let,
x represent the cost of a bag of popcorn
y represent the cost of a drink.
According to given statement;
4x+12y=30 Eqn 1
x+6y=11.25 Eqn 2
Multplying Eqn 2 by 2

Subtracting Eqn 3 from Eqn 1

Dividing both sides by 2

4x+12y=30 and x+6y=11.25 can be used to find the price of one bag of popcorn and the price of one drink.
The price of one bag of popcorn is $3.75
Keywords: linear equation, elimination method
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