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2 years ago

Please help! Will Mark brainliest!

Mathematics

1 answer:

Sauron [17]2 years ago

7 0

Answer:

Step-by-step explanation:

i not fully sure if this is right

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If Vector u=(5,-7) and v=(-11,3), 2v-6u=_____ and ||2v-6u||≈_____

Sauron [17]

<h2>Answer:</h2>

$2\vec{v}-6\vec{u}=(-52,48) \\ \\ ||2\vec{v}-6\vec{u}||=75.28}$

<h2>Step-by-step explanation:</h2>

In this problem we have two vectors:

$\vec{u}=(5,-7) \ and \ \vec{v}=(-11,3)$

So we need to find two things:

$2\vec{v}-6\vec{u}$

and:

$||2\vec{v}-6\vec{u}||$

FIRST:

In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

$2\vec{v}-6\vec{u} \\ \\ Replace \ \vec{v} \ and \ \vec{u} \ by \ the \ given \ vectors: \\ \\ 2(-11,3)-6(5,-7) \\ \\ Multiply \ each \ component \ by \ the \ corresponding \ scalar:\\ \\ (2\times (-11),2\times 3)+(-6\times 5,-6\times (-7)) \\ \\ (-22,6)+(-30,42) \\ \\ Sum \ of \ vectors: \\ \\ (-22-30,6+42) \\ \\ \therefore \boxed{(-52,48)}$

SECOND:

If we name:

$\vec{w}=2\vec{v}-6\vec{u}$

Then, $||2\vec{v}-6\vec{u}||$ is the magnitude of the vector $\vec{w}$ . Therefore:

$||\vec{w}||=||2\vec{v}-6\vec{u}|| \\ \\ ||\vec{w}||=||(-52,48)|| \\ \\ ||\vec{w}||=\sqrt{(-58)^2+48^2} \\ \\ ||\vec{w}||=\sqrt{3364+2304} \\ \\ ||\vec{w}||=\sqrt{5668} \\ \\ \boxed{||\vec{w}||=75.28}$

5 0

2 years ago

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you put $400 in an account. the account earns $18 simple interest in 3 years. what is the annual interest

nadya68 [22]

Answer:

Step-by-step explanation:

divide 18 into three

18÷3=6

8 0

2 years ago

If A = 50 degrees, B = 62 degrees, and a = 4, find b.<br><br> Round to the nearest tenth.

Phoenix [80]

<h3>Answer: 4.6</h3>

=================================================

Work Shown:

Use the law of sines

b/sin(B) = a/sin(A)

b/sin(62) = 4/sin(50)

b = sin(62)*4/sin(50)

b = 4.61042489526572

b = 4.6

Make sure your calculator is in degree mode.

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3 years ago

Why do scientists use the international system of units (SI)

k0ka [10]

So it can be known anywhere. So we use all of the same measurements

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3 years ago

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This is a really hard question- Help

kykrilka [37]

Answer:

680

Step-by-step explanation:

x = total number

.6x = bus riders = 408 (.6 is decimal for 60%)

.6x = 408

x = 408/.6 = 680

7 0

7 months ago