2 years ago

Which sign should be used for the following equation? 0.452 _______ 0.712 < > ≤ ≥

Mathematics

1 answer:

ZanzabumX [31]2 years ago

7 0

Answer:

Step-by-step explanation:

0.4<0.7

4 is smaller than 7 so the sighn points to 0.7

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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

What numbers add up to-15 but when multiplied gives me-54

OLga [1]

The answer would be -18 and 3

6 0

3 years ago

HELPP REAL ANSWERS ONLY, NO LINKS!!!!!!!!! Provide explanation for brainliest optional though. HURRY!!!!!!!

Darina [25.2K]

Answer:

Step-by-step explanation:

Okay we know the length is 5 inches if this is a square then the width is 5 inches as well. This is because 5 x 5 = 25