Answer:
1st graph.
Step-by-step explanation:
The function y = -x² + 5, reflects the 1st graphic.
Reasoning:
- If we make x equal to 0, y=5, it meas the parabole crosses y-axis at 5.
- In every quadratic function, if the value of x is negative, the parabole goes downwards.
Translations, rotations, and reflections are all rigid transformations.
1.
v x w = 8 i - 24 j + 15 k + 10 j - 12 i - 24 k =
= - 4 i - 14 j - 9 k
Answer: D )
2.
v x w = -16 i - 16 j - 18 k + 12 j + 48 i - 8 k =
= 32 i - 4 j - 10 k
Answer: C )
3.
The cross product:
< - 6, 7, 2 > x < 8, 5, -3 > =
= - 21 i + 16 j - 30 k - 18 j - 10 i - 56 k =
= - 31 j - 2 j - 86 k = < - 31, - 2, - 86 >
Vectors are perpendicular if: cos ( u, v ) = 0
< - 6 , 7. 2 > * < -31, - 2, - 86 > = 186 - 14 - 172 = 0
< 8, 5 , - 3 > * < - 31, - 2, - 86 > = -248 - 10 + 258 = 0
Answer: A ) < - 31, - 2 , - 86 >, yes.
Answer:
f(5) = 2
Step-by-step explanation:
<u>Given: </u>
- Function f(x) =

<u>For x=5 :</u>
- f(5) =
=
= 2
Answer:
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