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2 years ago

Write The quotient of fifteen and the product of seven and a number as an equation.

Mathematics

1 answer:

sdas [7]2 years ago

7 0

Answer: 15/7x=

Step-by-step explanation: that is the equation

pls mark brainliest

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Write 8 in the form 4n

kow [346]

N equals to 2 so 4 plus 2 is 6 and that is the answer!!

Glad I could help. Have A Good day

3 0

3 years ago

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

Does anyone know how to solve this?

Margarita [4]

Answer:

The correct option is c.

Step-by-step explanation:

Given that,

u = 7i+4j and v = 2i-3j

We need to find the product of u and v. The dot product of two vectors is given by :

$u{\cdot}v=(7i+4j){\cdot} (2i-3j)\\\\=(7i)(2i)+(4j)(-3j)\\\\=14-12\\\\=2$

So, the dot product of u and v is equal to 2.

4 0

3 years ago

For each part, use the Distributive Property to write an equivalent expression

iren2701 [21]

Answer:

The answer is -3x.

Step-by-step explanation:

Combine like terms.

Hope this helps :)

6 0

3 years ago

Read 2 more answers

The figures are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.

Akimi4 [234]

Answer: Option b.

Step-by-step explanation:

First, you need to calculate the ratio of the area. This is:

$ratio=(\frac{64}{28})^2\\\\ratio=\frac{256}{49}$

You know that the area of the smaller trapezoid is 771 m², then you can set up the following proportion, where "x" is the area of the larger trapezoid. Then you have:

$\frac{256}{49}=\frac{x}{771}$

Now you must solve for "x". Therefore, you get that the area of the larger trapezoid is:

$x=(771)(\frac{256}{49})\\\\x=4,028m^2$

3 0

3 years ago