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2 years ago

Help please u guys will help right

Mathematics

1 answer:

PtichkaEL [24]2 years ago

3 0

Whats the question??

step-by-step

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NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! THIS IS NOT A TEST OR AN ASSESSMENT!! Please help me with these math questions

Art [367]

Answer:

See below

Step-by-step explanation:

3. What are two ways that a vector can be represented?

Considering a vector $\vec{v}$ in some vector space $\mathbb R^n$ we have

$\vec{v} = \langle a,b\rangle$

This is the component form. I don't like that way. It is probably used in high school, but

$\vec{v} = \begin{pmatrix} a\\ b\\ \end{pmatrix}$

is preferable because the inner product on $\mathbb R^n$ is defined to be

$\langle a,b\rangle := \sum_{i = 1}^n a_i b_i$

You can also write it using linear form such as $\vec{v} = 2i+2j$

For this question, I think you meant

vectors

$\vec{u_1} = (-8, 12)$

$\vec{u_2} = (13, 15)$

Once

$\cos(\theta)=\dfrac{\vec{u_1} \cdot\vec{u_2}}{||\vec{u_1}||||\vec{u_2}||}$

Considering that the dot product is

$\vec{u_1}\cdot \vec{u_2} = (-8)\cdot 13 + 12\cdot 15 = -104+180= 76$

and the norm of $\vec{u_1}$ is $||\vec{u_1}|| = \sqrt{(-8)^2 + 12^2} = \sqrt{64 + 144}= \sqrt{208}$

and the norm of $\vec{u_2}$ is $||\vec{u_2}|| = \sqrt{13^2 + 15^2} = \sqrt{169 + 225}= \sqrt{394}$

Thus,

$\cos(\theta)=\dfrac{76}{\sqrt{208} \sqrt{394}} = \dfrac{19}{\sqrt{13}\sqrt{394}}=\dfrac{19}{\sqrt{5122}}$

$\therefore \theta = \arccos \left(\dfrac{19}{\sqrt{5122}} \right)$

3 0

2 years ago

The figure is transformed as shown in the diagram. Describe the transformation. A) dilation,then reflection B) reflection, then

Lelu [443]

Answer:

A! The polygon was dilated, then reflection vertically!

8 0

2 years ago

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The expression 4g gives the number

jeka57 [31]

Answer: 16 quarts.

Step-by-step explanation:

1 quart = 1/4 gallon.

4 quarts = 1 gallon.

If you have 4 gallons, then you need to multiply 4 by 4, because every gallon is equal to 4 quarts.

4 x 4 = 16.

Therfore, there are 16 quarts in 4 gallons.

5 0

2 years ago

Help me plz I don't get it !!!!!!!!

Alona [7]

Answer: B.

It grows 3 inches per week

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2 years ago

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What is the slope between the points (-3, 7) and (-5, 4)

IrinaVladis [17]

Answer:

3/2

Sorry for the bad handwriting.

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3 years ago