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3 years ago

Given u⃗ =⟨3,4⟩ and v⃗ =⟨1,2⟩. Let m be the magnitude of vector u⃗ . Find u⃗ +mv⃗ .

Mathematics

1 answer:

patriot [66]3 years ago

6 0

Answer:

$\vec u+m\vec v=$

Step-by-step explanation:

Being $\vec u$ =<3,4> and $\vec v$ =<1,2>, we must find

$\vec u+m\vec v$

If m is the magintude of $\vec u$ :

$m=\sqrt{a^{2}+b^{2}}$

Where a and b are the components of $\vec u$

$m=\sqrt{3^{2}+4^{2}}=5$

$\vec u+5\vec v=+5=+=$

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3 times (square root of 125 over 5 minus 8)

fenix001 [56]

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3 years ago

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Please help me with this question

Olegator [25]

Answer:

x = 11

Step-by-step explanation:

Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:

PQ / PT = QR / TU = PR / PU

We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:

PQ / PT = PR / PU

Now, we can substitute the values given by the diagram:

70 / 30 = 49 / (x + 10)

We can cross multiply,

70(x + 10) = 30 * 49

And divide by 70 on both sides(too lazy to multiply :P)

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3 years ago

Combine the like terms to create an equivalent expression: <br> 2s+(−4s)=?

Sergeeva-Olga [200]

Answer:

$2s+\left(-4s\right)=-2s$ is the equivalent expression as $2s+\left(-4s\right)$ is equal to $-2s$ .

Step-by-step explanation:

Considering the expression

$2s+\left(-4s\right)$

As we know that

Like terms are said to be the terms which hold the same variables raised to the same power.

For example, $3x$ and $2x$ are like terms as they contain the same variable $x$ raised to the same power.

Lets solve the expression

$2s+\left(-4s\right)$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$2s-4s$

$\mathrm{Add\:similar\:terms:}\:2s-4s=-2s$

$-2s$

Therefore,

$2s+\left(-4s\right)=-2s$ is the equivalent expression as $2s+\left(-4s\right)$ is equal to $-2s$ .

Keywords: equivalent expression, like terms

Learn more about equivalent expression from brainly.com/question/8902137

#learnwithBrainly

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3 years ago

A bag contains 5 blue, 4 red, 7 black and 2 white marbles. What is the probability of selecting a marble that is NOT white?

iogann1982 [59]

Answer:

8/9 (simplified)

Step-by-step explanation:

Total marbles = 18

Total of marbles <em>not</em> white = 16

Numerator = 16 / Denominator = 18

= 16/18

= 8/9 (simplified)

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2 years ago

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The area of a baseball field bounded by home plate, first base, second base, and third base is a square. If a player at first ba

JulsSmile [24]

Answer:

ta side from one base to next has length of x. so we know each side has length x and the shape they make is a square. This means we are only searching for the diagonal of a square. remember that a diagonal forms and isoscoles right triangle with the 2 sides being equal and the diagonal as the hypotenuse. Using pythagoream theorem we can say

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x^2 + x^2 = c^2

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so if the length between bases is 90 ft

c = 90 ft * squareroot(2)

c = 127.28 ft

Step-by-step explanation:

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2 years ago