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Ymorist [56]
3 years ago
13

Vector u = <11, 12>, v = <-16, 6>, and w = <4, -5>.

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
6 0

Answer:

  see attachment

Step-by-step explanation:

I find the arithmetic tedious, so I like to let a calculator or spreadsheet do it. The components of the sum are the sums of the components.

___

For example, ...

  u - 5w = <11, 12> - 5×<4, -5>

  = <11 -5·4, 12 -5·(-5)>

  = <-9, 37>

  = -9i +37j

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The distance that the boat can travel in one hour
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The boat can travel in 5 hours
=(54.75*5)km
=273.75km
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2 years ago
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vlada-n [284]

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B

Step-by-step explanation:

7 0
3 years ago
Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x − 2) true?
NISA [10]

Answer:

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8 0
3 years ago
10)<br>Simplify the expression.<br>6(4x + 12) – 9x - 18 - 4(-6)<br>​
aleksklad [387]

Answer:

\boxed{\bold{15x+78}}

Step By Step Explanation:

Apply Rule - (-a) = a

\bold{6\left(4x+12\right)-9x-18+4\cdot \:6}

Multiply: 4 · 6 = 24

\bold{6\left(4x+12\right)-9x-18+24}

Expand \bold{6\left(4x+12\right): \ 24x+72}

= \bold{24x+72-9x-18+24}

Simplify \bold{24x+72-9x-18+24}

= \bold{15x+78}

━ Mordancy ━

4 0
3 years ago
Which equation is equivalent to √x^2+81 = x+10
jeka57 [31]

Keywords:

<em>equation, operations, equivalent, binomial, square root </em>

For this case we have an equation in which we must apply operations to rewrite it in an equivalent way. We must start by raising both sides of the equation to the square. Thus, we eliminate the square root of the left side of equality and finally solve the binomial of the right side of equality.

So we have:

\sqrt {x ^ 2 + 81} = x + 10\\(\sqrt {x ^ 2 + 81}) ^ 2 = (x + 10) ^ 2\\x ^ 2 + 81 = (x + 10) ^ 2

By definition:(a + b) ^ 2 = a ^ 2 + 2ab + b ^ 2

x ^ 2 + 81 = x ^ 2 + 2 (x) (10) + (10) ^ 2\\x ^ 2 + 81 = x ^ 2 + 20x +100

Thus, x ^ 2 + 81 = x ^ 2 + 20x +100 is equivalent to \sqrt {x ^ 2 + 81} = x + 10

Answer:

x ^ 2 + 81 = x ^ 2 + 20x +100

Option D

4 0
3 years ago
Read 2 more answers
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