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2 years ago

Find the equation of a line that passes through the points (-2, -1) and (0, -5)

Mathematics

2 answers:

anastassius [24]2 years ago

8 0

Answer:

-2x - 5

Step-by-step explanation:

Klio2033 [76]2 years ago

6 0

Answer:

Step-by-step explanation:

slope = (-5-(-1))/(0-(-2)) = (-4)/2 = -2

y+5 = -2(x-0)

y = -2x - 5

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Which criteria are responsible for deciding whether a heterogeneous mixture Is a colloid or a suspension?

faltersainse [42]

Answer:

Step-by-step explanation:

Hope this helped! Please let me know if I'm wrong!

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2 years ago

Read 2 more answers

Work out the value of (10^4)^2

Yuri [45]

Answer:

100000000

Step-by-step explanation:

(10^4)^2 key =

{(2.5)^4}^2 . = times

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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

The width of a rectangle is 3 feet longer than it's length. What's the dimensions of the rectangle such that the perimeter of th

Varvara68 [4.7K]

So hmm check the picture below

what's the width? well, w = l + 3

5 0

3 years ago

Miss Hernandez has $100 to spend on parking and admission to the zoo the parking will cost $7 and Mission tickets will cost 1550

Mandarinka [93]

It should say $15.50. Parking = p. n = number of people.

n15.50 + 7 is the equation.

She can bring 6 people, because (6 * 15.50) + 7 = $100
Glad to help!

4 0

2 years ago