Adam's music playlist contains songs he bought and songs his mother bought. The ratio of his songs to his mother's songs is 5:3.
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Hi there!
When we have an equation standard form...
...the formula of the discriminant is
D = b^2 - 4ac
When
D > 0 we have two real solutions
D = 0 we have one real solutions
D < 0 we don't have real solutions
1.) Find the value of the discriminant and the the number of real solutions of
x^2-8x+7=0
Plug in the values from the equation into the formula of the discriminant
D > 0 and therefore we have two real solutions.
2.) Find the value of the discriminant and the number of real solutions of
2x^2+4x+2=0
Again, plug in the values from the equation into the formula of the discriminant.
D = 0 and therefore we have one real solution.
~ Hope this helps you.
When we have an equation standard form...
...the formula of the discriminant is
D = b^2 - 4ac
When
D > 0 we have two real solutions
D = 0 we have one real solutions
D < 0 we don't have real solutions
1.) Find the value of the discriminant and the the number of real solutions of
x^2-8x+7=0
Plug in the values from the equation into the formula of the discriminant
D > 0 and therefore we have two real solutions.
2.) Find the value of the discriminant and the number of real solutions of
2x^2+4x+2=0
Again, plug in the values from the equation into the formula of the discriminant.
D = 0 and therefore we have one real solution.
~ Hope this helps you.
Answer:
Part A)
Each diagonal is about 9.43 feet.
Part B)
In total, Wally needs about 736.02 feet of wood.
Step-by-step explanation:
Part A)
Since each vertical board has a width of 8 inches, for one section with 12 vertical boards, the total width will be 8(12) = 96 inches.
96 inches is the same as 96/12 = 8 feet.
We are also given that the horizontal pieces will be 5 feet apart.
To find the diagonal, we can use the Pythagorean Theorem. The 8 is the base and 5 is the height. Therefore:
Compute:
Taking the square root, we acquire:
So, each diagonal is about 9.43 feet.
Part B)
For each section, we have two horizontal pieces (each 8 feet) and one diagonal piece (each √89 feet).
Therefore, for one section, we will need a total of:
Then for 30 sections, we will need:
Approximate:
Wally will need about 736.02 feet of wood in total.