3 years ago

Giving 15 points plz plz help me

Mathematics

1 answer:

jek_recluse [69]3 years ago

5 0

30 dollars equals the slope and 100 dollars equal y intercept

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Write an equation of a line going through (5,7) and (4 , -4)

Ostrovityanka [42]

Answer:

The equation of this line would be y = 11x - 48

Step-by-step explanation:

To get this equation, we first have to find the slope. We do that with the slope eqaution.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-4 - 7)/(4 - 5)

m = -11/-1

m = 11

Now we can use this slope and either point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 7 = 11(x - 5)

y - 7 = 11x - 55

y = 11x - 48

6 0

3 years ago

Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers

slamgirl [31]

Answer:

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

Step-by-step explanation:

Let be $\vec u = (2,-3)$ , its unit vector is determined by following expression:

$\hat {u} = \frac{\vec u}{\|\vec u \|}$

Where $\|\vec u \|$ is the norm of $\vec u$ , which is found by Pythagorean Theorem:

$\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}$

$\|\vec u\| = \sqrt{13}$

Then, the unit vector is:

$\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)$

$\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

6 0

2 years ago

Zeina has seven times as many books as ali if zeina gave ali 15 books they would eash have the same number of books how many boo

ELEN [110]

Step-by-step explanation:

20 each because it's like tgat

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3 years ago

2(3x-5)<4x+6 as a word problem

Nastasia [14]

Answer: x<8

Step-by-step explanation: