Wym? Like what kind of graph is it?
Answer:
Step-by-step explanation:
I'm going to write 105 as a sum of numbers on the unit circle.
If I do that, I must use the sum identity for sine.
Plug in the values for sin(60),cos(45), sin(45),cos(60)
Answer:
y=-6x+8
Step-by-step explanation:
8 is the miles she has she runs 6 miles so she has 2 miles left that's why when we put it in slope intercept forms it's going to be
y=-6x+8
Answer:
The theater has 32 rows
Step-by-step explanation:
The rule of the sum of n terms of an arithmetic sequence is S = (a + l), where
- n is the number of the terms
∵ The number of seats per row follows an arithmetic sequence
∵ The first row has 26 seats
∴ a = 26
∵ The last row has 150 seats
∴ l = 150
∵ The theater seats are 2,816
∴ S = 2,816
→ Substitute these values in the rule of the sum above to find n
∵ 2,816 = (26 + 150)
∴ 2,816 = (176)
∴ 2,816 = 88n
→ Divide both sides by 88
∴ 32 = n
∵ n represents the number of the rows
∴ The theater has 32 rows
Answer:
Choice b.
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Step-by-step explanation:
The highest power of the variable in this polynomial is . In other words, this polynomial is quadratic.
It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to .)
After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.
Apply the quadratic formula to find the two roots that would set this quadratic polynomial to . The discriminant of this polynomial is .
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Similarly:
.
By the Factor Theorem, if is a root of a polynomial, then would be a factor of that polynomial. Note the minus sign between and .
- The root corresponds to the factor , which simplifies to .
- The root corresponds to the factor , which simplifies to .
Verify that indeed expands to the original polynomial:
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