Answer:
-1/3y +8 = x
Step-by-step explanation:
y=26−(3x+2)
Distribute
y = 26 -3x-2
Combine like terms
y = 24 -3x
Subtract 24 from each side
y -24 = -3x
Divide each side by -3
y / -3 -24/-3 = -3x/-3
-1/3y +8 = x
Part A. The formula for finding the area of a parallelogram is A=bh where A is the area, b is the base and h is height.
A=bh where b=8 feet ,h=3/4 foot and A=?
A=8*3/4
A=6 feet The area of the parallelogram is 6 feet square
Part B.You can decompose a parallelogram into two triangles by drawing a diagonal from one end to the another.The formula for finding the area of each triangle is A= 1/2bh where A is area b is base and h is height.Therefore:
A=1/2bh where b=8 h is 3/4 and A=?
A=1/2*8*3/4
A=3 feet square. Therefore the area of each triangle is 3 feet square.
The answer is - 1 and 11/12.
Lets write as an equation the info provided in the problem:
original area = 200*300 = 60000 squared meters
Adding x meters to the length is: 300 + x
Adding x meters to the width is: 200 + x
If the area doubles in size we have: 2*<span>60000
Now writing as a single equation all info:
(300 + x)(200 + x) = 120000
We have to make the operations and solve:
60000 + 300x + 200x + x^2 = </span><span>120000
x^2 + 500x - 60000 = 0
This is a squared trinomial, to solve it we need two numbers that subtracted give us 500 and multiplied -60000:
(x + 600)(x -100) = 0
So there are two solutions, x = -600 and x = 100, we choose the positive one:
x = 100
thererefore the value of x is 100 meters</span>
