Question

What is the magnitude of the vector with an initial point of (1,-2) and a terminal point of (2,-5)?

So basically I've no idea how to find the magnitude? I know you're supposed to plot the points, I'm just not sure what to do next.

Answer 1

please, you have to find the length of the segment joining your two points. So, first calculate the distance between your points, using the forula of the distance, namely:
\[d=\sqrt{(x _{2}-x _{1})^{2}+(y _{2}-y _{1})^{2}}\],where x_1,x_2, y_1, y_2, are the coordinates of your points, try please, and write your result

Answer 2

@oswin \[d=\sqrt{(2-1)^{2}+(-5-(-2))^{2}}=...\]
d is your magnitude

Answer 3

So d =-2? @Michele_Laino

Answer 4

please, note that d is a positive number, retry please!

Answer 5

Every way I try it, I get a negative number... All I'm doing is the operations... What am I missing?

Answer 6

(2-1)^2=1^1=1 is right?

Answer 7

\[(2-1)^{2}=1^{2}=1\]

Answer 8

Hold on, I messed up. The answer would be \[2isqrt{2}\]

Answer 9

\[2i \sqrt{2}\]

Answer 10

There we go :P

Answer 11

please note d must be real, because you can measure it,
\[(-5-(2))^{2}=(-5+2)^{2}=3^{2}=9\]

Answer 12

@oswin so d=sqrt(1+9)=...

Answer 13

So D=10?

Answer 14

please, note taht there is a square root

Answer 15

\[\sqrt{10}\]

Answer 16

that's right!

Answer 17

Yaaaayyy! Thank you :)

Answer 18

thank you!

Answer 19

Write a paragraph that explains why a traveler will need to visit a currency exchange.

Answer 20

For his class project, Mike needs to collect samples of algae. In which section of a river is Mike most likely to find algae?
A.

Answer 21

How do comedies differ from tragedies?
A.
Comedies highlight the superficial aspect of humanity, while tragedies depict our endurance.

Answer 22

Captain America was found guilty under _______ law for breaking the Sokovia Accords and sentences to jail.

Answer 23

Which type of strength training uses machine-generated forces to increase muscle

Answer 24

Solve for x.

56x=15

Enter your answer in the box.

x =

Answer 25

Which property justifies the following equation?

7(6 + 0 + 5) = 7(6 + 5)
A.
distributive
B.

Answer 26

Puritans typically formed which type of community?

Answer 27

Jill earns a salary of $425.00 per week, plus a commission of 20% on all sales. Last week she sold $1,123 worth of goods.

Answer 28

The coordinates of the vertices of u25b3ABC are A(1, 1) , B(5, 1) , and C(5, 3) . The coordinates of the vertices of u25b3Au2032Bu2032Cu2032 are Au2032(u22121, u22121) , Bu2032(u22125, u22121) , and Cu2032(u22125, u22123) .

Which statement correctly describes the relationship between u25b3ABC and u25b3Au2032Bu2032Cu2032 ?

A. u25b3ABC is congruent to u25b3Au2032Bu2032Cu2032 because you can map u25b3ABC to u25b3Au2032Bu2032Cu2032 using a translation 2 units to the left and 2 units down, which is a rigid motion.

B. u25b3ABC is congruent to u25b3Au2032Bu2032Cu2032 because you can map u25b3ABC to u25b3Au2032Bu2032Cu2032 using a reflection across the y-axis, which is a rigid motion.

C. u25b3ABC is not congruent to u25b3Au2032Bu2032Cu2032 because there is no sequence of rigid motions that maps u25b3ABC to u25b3Au2032Bu2032Cu2032.

D. u25b3ABC is congruent to u25b3Au2032Bu2032Cu2032 because you can map u25b3ABC to u25b3Au2032Bu2032Cu2032 using a rotation of 180u00b0 about the origin, which is a rigid motion.

Answer 29

Which of these is an example of calcium carbonate?
A.
diamond
B.
graphite
C.
water
D.

Answer 30

The coordinates of the vertices of u25b3ABC are A(1, 1) , B(5, 1) , and C(5, 3) . The coordinates of the vertices of u25b3Au2032Bu2032Cu2032 are Au2032(u22121, u22121) , Bu2032(u22125, u22121) , and Cu2032(u22125, u22123) .

Which statement correctly describes the relationship between u25b3ABC and u25b3Au2032Bu2032Cu2032 ?

A. u25b3ABC is congruent to u25b3Au2032Bu2032Cu2032 because you can map u25b3ABC to u25b3Au2032Bu2032Cu2032 using a translation 2 units to the left and 2 units down, which is a rigid motion.

B. u25b3ABC is congruent to u25b3Au2032Bu2032Cu2032 because you can map u25b3ABC to u25b3Au2032Bu2032Cu2032 using a reflection across the y-axis, which is a rigid motion.

C. u25b3ABC is not congruent to u25b3Au2032Bu2032Cu2032 because there is no sequence of rigid motions that maps u25b3ABC to u25b3Au2032Bu2032Cu2032.

D. u25b3ABC is congruent to u25b3Au2032Bu2032Cu2032 because you can map u25b3ABC to u25b3Au2032Bu2032Cu2032 using a rotation of 180u00b0 about the origin, which is a rigid motion.

Answer 31

All of the following are delegated powers EXCEPT:
A.
raising an army
B.
printing currency
C.

Answer 32

A(n) __________ is an amendment introduced by a private citizen.
A.
initiative
B.
referendum
C.
federalist system
D.
supremacy clause
@razor

Answer 33

All of the following are concurrent powers EXCEPT:
A.
establishing taxes
B.
establishing courts
C.

Answer 34

Solve for x.

38(2x+16)u22122=13

Enter your answer in the box

Answer 35

https://prnt.sc/kx49cg

Answer 36

A(n) __________ is an amendment that is presented to the people on the ballot of a statewide election to vote on.

Answer 37

All of the following statements about cooperative federalism are TRUE except:
A.
Cooperative federalism ended dual federalism.

Answer 38

Which story problem could be solved using the given equation?

1/5u00d72/3=m

A. Jasmine bought some tiles to put around her patio.