Answer:
{(-34/7, -16/7)}
Step-by-step explanation:
Rearrange values, multiply to solve for x.
(5) 2y = 3x + 10
(-2) 5y = 4x + 8
Solve for x.
10y = 15x + 50 ↓
-10y = -8x -16
Combine and evaluate.
0 = 7x + 34
Subtract 34 from both sides.
7x = -34
Divide both sides by 7.
x = 
Plugin x value into either equation to solve for y.
2y = (3 ×
) + 10
2y =
+ 10
2y = 
y = 
You multiply 5280 times 7 and u get 36960
Answer:
Long part= 45
Short part= 25
Step-by-step explanation:
Let the short part of the stick be x
Let the long part be x+20
The total length of the stick is 70cm
x + (x+20)= 70
x+x+20= 70
2x+20= 70
2x= 70-20
2x= 50
x= 50/2
= 25
Longer part length= 20+25
= 45
The short part is 25
Let's first define the variables:
x = width
300 - 2x = long
The area will be:
A = (x) * (300 - 2x)
A = 300x - 2x²
We look for the maximum area, for this, we derive:
A '= 300 - 4x
We match zero:
0 = 300 - 4x
x = 300/4 = 75
Therefore, the width is:
x = 75 feet
The length is:
300 - 2x = 300 - 2 (75) = 300-150
150 feet
Answer:
Part A:
The maximum area will be:
A = (150) * (75) = 11250 square feet
Part B:
The dimensions are:
Length = 150 feet
width = 75 feet
Y - y₁ = m(x - x₁)
y - 1 = -2(x - 3)
y - 1 = -2(x) + 2(3)
y - 1 = -2x + 6
+ 1 + 1
y = -2x + 7
The answer is A.