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3 years ago

Solve the system using the addition method. 6x - 2y = 3 2x + 3y = -5

Mathematics

1 answer:

katrin [286]3 years ago

8 0

8x + y = - 2
suppose to you want the y-intercept
y = -8x - 2

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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

3 years ago

Each egg carton holds one dozen eggs. Michael's chicken farm fills 121 egg cartons. He thinks that there were over 1500 eggs. Is

Kobotan [32]

121 x 12 = 1452 so over 1500 is not a correct estimate. Less than 1500 is the right estimate

3 0

3 years ago

5. Does the following table represent a function?*

Arturiano [62]

Answer:

Yes

Step-by-step explanation:

Yes, because each x has one specific y.

7 0

3 years ago

Read 2 more answers

In ΔEFG , what is the approximate length of EF if the measure of angle G is 50° and FG is 10 cm?

swat32

Hey again, you can use trigonometric ratios for this one. You are trying to find the side length opposite of angle G, when you have the adjacent side length value known. You can use TOA, or tan((opposite/adjacent)) . Tan(50) = x/10

X= 11.92 cm

6 0

3 years ago

The 7th term of an A.p is -4. If the common difference is-5, find the 6th term

Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

a₆ = a₇+(6-7)d = -4 -(-5) =1

7 0

2 years ago