The y-term is -2y. We know this is the y-term because it is a multiple of the variable y and is not multiplied with any other variables.
A coefficient is a number that a variable is multiplied by. When there is a number followed by a variable, the number is the coefficient.
In this case, the coefficient of the y-term is -2. The coefficient is negative because 2y is being subtracted, meaning the 2 is negative rather than positive.
Hope this helps!
Answer:
7
Step-by-step explanation:
each way from 10 to 7 is 3 and 4 to 7 is 4
Answer:
4
Step-by-step explanation:
Answer:
cos
(
5
π
12
)
=
√
2
−
√
3
2
Explanation:
By the half angle formula:
XXXX
cos
(
θ
2
)
=
±
√
1
+
cos
(
θ
)
2
If
θ
2
=
5
π
12
XXXX
then
θ
=
5
π
6
Note that
5
π
6
is a standard angle in quadrant 2 with a reference angle of
π
6
so
cos
(
5
π
6
)
=
−
cos
(
π
6
)
=
−
√
3
2
Therefore
XXXX
cos
(
5
π
12
)
=
±
⎷
1
−
√
3
2
2
XXXXXXXXXXX
=
±
⎷
2
−
√
3
2
2
XXXXXXXXXXX
=
±
√
2
−
√
3
4
XXXXXXXXXXX
=
±
√
2
−
√
3
2
Since
5
π
12
<
π
2
XXXX
5
π
12
is in quadrant 1
XXXX
→
cos
(
5
π
12
)
is positive
XXXX
XXXX
XXXX
(the negative solution is extraneous)
answer in pic more explain
Answer:
- C. f(x) = x³ + 10x² + 7x - 18
Step-by-step explanation:
If the function has a factor of x + 9, then the function will have a zero output at x = -9
<u>Lets verify:</u>
- A. f(-9) = (-9)³ - 8*(-9)² - 11*(-9) + 18 = -1260, No
- B. f(-9) = (-9)³ + 10*(-9)² + 7*(-9) - 27 = -9, No
- C. f(-9) = (-9)³ + 10*(-9)² + 7*(-9) - 18 = 0, Yes
- D. f(-9) = (-9)³ - 8*(-9)² + 11*(-9) + 27 = -1449, No
