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3 years ago

Evaluate. 5x + 2y2-y3; x =2 and y=4

Mathematics

1 answer:

Elanso [62]3 years ago

7 0

5x+2y2-y3:x=2 and y=4

5(2)+2(4)2-(4)3

10+8(2) -12

10+16-12

26-12

=14

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Pleaseee Help URGENTTTT

Marizza181 [45]

Answer:

correct answer is b

Step-by-step explanation:

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2 years ago

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

Read 2 more answers

The area of square pond is 5625meter square and 2 meter width path is made around the pond

algol13

Answer:

Step-by-step explanation:

good luck hoped it helped

7 0

3 years ago

Read 2 more answers

Find the prime factorization of 36

ivolga24 [154]

Prime factorization means finding the prime numbers that you can multiply to make a certain number.

So, he prime factorization of 36 would be 2 x 2 x 3 x 3 or 2, 2, 3, and 3.

Just to make sure: 2 x 2 = 4 4 x 3 = 12 12 x 3 = 36

There's your answer!

7 0

3 years ago

Polygon LMNOP was transformed to create polygon L'M'N'O'P'.2 pentagons have identical side lengths and angle measures. The point

algol13

The Angle that would correspond to Angle N after the transformation is; Angle N'

<h3>How to Interpret Transformations?</h3>

A polygon is defined as a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

In the transformation of LMNOP to create polygon L'M'N'O'P', we have that;

L corresponds to L'

M corresponds to M'

N corresponds to N'

O corresponds to O'

P corresponds to P'

Thus, we can conclude that Angle N would correspond to Angle N'

Read more about Transformations at; brainly.com/question/4289712

#SPJ1

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2 years ago