Answer:
Length is 24 feet and width is 9 feet.
Step-by-step explanation:
It is given that length of a rectangular wall is 6 feet longer than twice its width.
Let x feet be the width of wall.
Length = 2x+6 feet
Area of rectangle is
It is given that area of a rectangular wall of a barn is 216 square feet.
Splitting the middle term, we get
Width can not be negative. So width is 9 feet.
Length
Therefore, length is 24 feet and width is 9 feet.
The solution to the system of equations is x = -1 and y = -1
<h3>How to solve the following
system of equations?</h3>
The system of equations is given as:
2x + 3y = 1
5x - 4y = 14
Multiply 2x + 3y = 1 by 2.5
So, we have:
5x + 7.5y = 2.5
Subtract 5x + 7.5y = 2.5 from 5x - 4y = 14
So, we have
7.5y + 4y = 2.5 - 14
Evaluate the difference and the sum
11.5y = -11.5
Divide by 11.5
y = -1
Substitute y = -1 in 2x + 3y = 1
2x + 3(1) = 1
This gives
2x + 3 = 1
Subtract 3
2x = -2
Divide by 2
x = -1
Hence, the solution to the system of equations is x = -1 and y = -1
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Answer:
-2 + 4i
Step-by-step explanation:
Step 1: Write expression
(2 + 3i) + (-4 + i)
Step 2: Combine like terms
-2 + 4i
Answer:
the next 5 boats should be from Georgia
Step-by-step explanation:
Answer:
Q11. 20x=120° (vert opp angles)
x=120÷20
=10
Q12. x+68°=60° (vert opp angles)
x=60-68
=-8
Q13. 80°+x+106°=180° (int angles, u//v)
x+186°=180°
x=180-186
=-6
Q14. 6x+8°=50°
6x=50°-8°
=42°
x=42÷6
=7