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icang [17]
3 years ago
13

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

Mathematics
2 answers:
ipn [44]3 years ago
5 0

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

-------------------------------------------------------------------------------------------------------------------

Simplify. Combine like terms

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

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

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

-------------------------------------------------------------------------------------------------------------------

hope this helps

dmitriy555 [2]3 years ago
3 0

3f – 2e

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

3(8i + 15j + k) - 2(2i – 5j + 9k)

Distribute 3 and 2 inside their respective parentheses

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

Now distribute -1 (negative sign) inside the parentheses on the right

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

Combine like terms

20i + 55j - 15k is your answer (third choice down)

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-3(5)^2-(-2)(-8) simplify
avanturin [10]

To do this, we're going to use the order of operations (PEMDAS):

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

First let's do parentheses, there isn't anythig in parentheses we need to simplify, so we can skip this step.

Next let's look for exponents. I see we have a 5^2 so let's replace that with 5^2=25:

-3(25)-(-2)(-8)

Now let's look for multiplcation. We know that things that are right next to eachother in parentheses represent multiplcation, so let's simply this more:

-3(25)=-75

(-2)(-8)=16

-75-16

And now we're left with a simple problem we know how to solve.

Answer: -91

Hope this helps!

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3 years ago
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Answer:

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A computer chip has the dimensions 8mm x 8mm but the scale is drawn with the ...
Yuliya22 [10]
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6 0
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What is the cost of 4 pairs of Nikes if each pair is $365.68 along with 120 peaches that each cost $9.00? Help giving away 30 po
Nutka1998 [239]

Answer:

$2542.72 for everything

Step-by-step explanation:

$365.68*4=$1462.72 for the nikes

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6 0
2 years ago
Read 2 more answers
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lisov135 [29]

Answer:

10

Step-by-step explanation:

(3 + 12) - 3² + 8 · 2 ÷ 4

15 - 9 + 16 : 4

6 + 4

10

8 0
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