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2 years ago

what best describes the relationship between the succesive terms in the sequence shown 2.4,-4.8,9.6,-19.2n

Mathematics

1 answer:

irina [24]2 years ago

6 0

Each time it is being multiplied by -2

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Perpendicular Vectors:

klemol [59]

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.

3 0

2 years ago

Verify the identity<br><br> cos quantity x plus pi divided by two = -sin x

In-s [12.5K]

Answer:

Identity is verified.

Step-by-step explanation:

We have to verify the identity $cos(x+\frac{\pi }{2}) = (- sinx)$

To prove any identity we always prove one side(either left hand side or right hand side) of the equation equal to the other side.

In this identity we take the left hand side first

$cos(x+\frac{\pi}{2})$

$=cosx\times cos(\pi/2)-sinx\times sin(\pi/2))$ (as we know cos(a+b) = cosa×cosb-sina×sinb)

$= cosx\times0-sinx\times1$

$= 0-sinx$

= - sinx ( Right hand side)

Hence identity is proved.

6 0

3 years ago

Which angle is complementary to DFE? Pls answer

zaharov [31]

Answer:

<DFA

Step-by-step explanation:

When combined (<DFA and <DFE), they'll form 90 degrees which will make them complementary

6 0

2 years ago

Read 2 more answers

Simplify (125)^-2/3 with positive exponents and no radicals <br>show all work.<br>PLEASE HELP

Reptile [31]

For this case, what you should keep in mind are the following considerations:

1) Rewrite the expressions correctly using the properties of the exponents: Addition, multiplication, division, subtraction and negative exponents.

2) Simplify the expression as much as possible.

Answer:
See attached image.

3 0

2 years ago

The volume of a rectangular solid is given by the equation V = l ⋅ w ⋅ h . Find the volume of a box whose dimensions are l = 3 n

scoundrel [369]

3*2*6 is 36 yards cubed or 36 yards to the power of 3.

7 0

2 years ago