Given the equation P = 2w + 2l solve for w. A) 2w = P - 2l B) w = 2l + P 2 C) w = P -2l 2 D) w = 2l - P 2
2 answers:
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Answer:
The solution to the system is the pair (9, 6)
Step-by-step explanation:
Hi!
First, let´s write the system of equations:
-y² + 6y + x -9 = 0
6y = x +27
The solutions of the system are the pairs (x, y) that satisfy both equations.
Let´s take the second equation and solve it for x:
6y = x +27
Subtract 27 from both sides of the equation
6y - 27 = x
Now, we can replace x in the first equation and solve it for y:
-y² + 6y + x -9 = 0
-y² + 6y + 6y - 27 -9 = 0
-y² + 12y - 36 = 0
Notice that -y² + 12y - 36 = -(y - 6)², then:
-(y - 6)² = 0
y - 6 = 0
y = 6
(alternatively you can solve the quadratic equation using the quadratic formula).
Now let´s find the value of x:
x = 6y -27
x = 6·6 -27
x = 9
The solution to the system is the pair (9, 6)
Please see the attached figure. The point where the curves intersect is the solution to the system.
Answer:
Alexandria requires 55 rows to use all the shells.
Step-by-step explanation:
Given:
Number of Shells = 329
Number of shells in each row = 6
We need to find the number of rows she need if she wants to use all the shells.
Solution:
Now we know that;
number of rows she needs can be calculated by Dividing Number of Shells with Number of shells in each row.
framing in equation form we get;
number of rows =
Hence Alexandria requires 55 rows to use all the shells.