How do u solve 5x + 9 = x - 23 ? *EXTRA POINTS
2 answers:
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Answer:
<u>Question 9</u>
Name the ordered pairs in the table: 3, 4, 5, 6, 7
Ordered pairs: (1,3), (2,4), (3,5), (4,6), (5,7)
Graph the equation: the attachment
Step-by-step explanation:
I don't know how to do questions 11 and 12.
Also sorry if these aren't correct.
Answer:
<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>
Step-by-step explanation:
For a quadratic equation:
The sum of the roots is -b and the product is c. Note the leading coefficient is 1.
We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:
P=2(L+W)=36
A=L.W=80
Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.
Thus we use the semi perimeter instead as P/2=L+W=18
The quadratic equation is, then:
Factoring by finding two numbers that add up to 18 and have a product of 80:
The solutions to the equation are:
x=10, x=8
Thus, the dimensions of the metal plate are 10 dm and 8 dm.