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3 years ago

What is the transformation (x,y)->(x,-y)

Mathematics

1 answer:

Lelechka [254]3 years ago

4 0

Answer:

<h2>It's a reflection across the x-axis.</h2>

Step-by-step explanation:

(x, y) → (x, -y)

It's a reflection across the x-axis.

<em>The reflection of the point (x,y) across the x-axis is the point (x,-y).</em>

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What is the messure of N and the two angles; an-16 and 6n

AURORKA [14]

Answer:

14, 96,84

Step-by-step explanation:

8n - 16 + 6n = 180 {Supplementary angles}

<u>8n + 6n</u> -16 = 180

Combine like terms

14n - 16 = 180

Add 16 to both sides

14n = 180 + 16

14n = 196

Divide both sides by 14

n = 196/14

n = 14

8n - 16 = 8*14 - 16 = 112 - 16 = 96

6n = 6 *14 = 84

7 0

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

A table costs $350. There is also a sales tax of 7%. How much does the table cost, including sales tax?

IrinaVladis [17]

Tax
$350x0.07
=$24.50

(0.07 is the 7% tax in decimal form)

Total cost
$350+$24.50
=$374.50

OR

$350x107%
=$374.50

1.07 is the table cost (100%) plus the sales tax (7%)

The table costs $374.50 with tax.

7 0

3 years ago

Read 2 more answers

X + 15 - 4<br> Please help ty

IrinaK [193]

$x+15-4 \\ \\ =x+11$