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Given that e= 2i – 5j + 9k and f= 8i + 15j + k, find 3f – 2e.

ipn [44]

Plug in "8i + 15j + k" for "f", and "2i – 5j + 9k" for "e"

3(8i + 15j + k) - 2(2i – 5j + 9k)

Distribute 3 to (8i + 15j + k) & - 2 to (2i – 5j + 9k)

3(8i + 15j + k) = 24i + 45j + 3k

-2(2i - 5j + 9k) = -4i + 10j - 18k

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Simplify. Combine like terms

24i - 4i + 45j + 10j + 3k - 18k

(24i - 4i) + (45j + 10j) + (3k - 18k)

20i + 55j - 15k is your answer, or (C)

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hope this helps

5 0

2 years ago

Read 2 more answers

What’s the 5th term is 2,14,98

iragen [17]

$\bold{\huge{\orange{\underline{ Solution }}}}$

<h3>Correct Question :-</h3>

What is the 5th term of an AP 2 , 14 ....98 .

<h3>Given :- </h3>

We have AP, 

$\sf{ 2 , 14 ,.... 98 }$
AP is the arithmetic progression or a sequence of numbers in which succeeding number is differ from preceeding number by a common value.

<h3>Solution :-</h3>

We have an AP :- 2 , 14 .....98

Therefore,

$\sf{a1\: or \:1st\: term = 2 }$
$\sf{a2 \:or \:2nd\: term = 14 }$
$\sf{an \:or\: last\: term = 98}$

Here,

Common difference of an AP

$\sf{ a2 - a1 }$

$\sf{ = 14 - 2}$

$\sf{ = 12}$

Thus, The common difference is 12

Now, 

We know that,

$\sf{an = a1 + ( n - 1 )d}$

$\sf{a5 = 2 + ( 5 - 1 )12}$

$\sf{a5 = 2 + 4 × 12}$

$\sf{a5 = 2 + 48}$

$\sf{\red{a5 = 50}}$

Hence, The 5th term of given AP is 50

4 0

2 years ago

A number has located a distance of 4 units from -3. What could the number be?

zhannawk [14.2K]

The number could be -7 or 1

4 0

2 years ago

What is the solution to the system of equations? 2x + 3y = 26 3x + 5y = 40

Bond [772]

Answer:

x = 10 , y = 2

Step-by-step explanation:

8 0

2 years ago

Compute 4.659×104−2.14×104. Round the answer appropriately.

iogann1982 [59]

Answer:

261.98 is the value of the given expression.

Step-by-step explanation:

We have to find the value of the following expression:

$4.659\times 104 - 2.14\times 104$

Using the associative property, we can write and solve the given expression as:

$(4.659 - 2.14)\times 104\\=2.519\times 104\\=261.976$

Rounding off the answer, we get,

$261.976\approx 261.98$

Thus, 261.98 is the value of the given expression.

3 0

3 years ago