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2 years ago

What is the magnitude of the position vector whose terminal point is (6, -4)?

Mathematics

1 answer:

Marysya12 [62]2 years ago

5 0

Answer:

2√13

Step-by-step explanation:

The distance formula is useful for this. One end of the vector is (0, 0), so the measure of its length is ...

d = √((x2 -x1)² +(y2 -y1)²) = √((6 -0)² +(-4-0)²)

= √(36 +16) = √52 = √(4·13)

d = 2√13 = |(6, -4)|

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Variable on both sides

IrinaK [193]

So for starts we can go 0.16 x 63 miles = 10.04 so the total for the second plan would be $58 with driving 63 miles. and for the first plan would be 0.12 divided by 3 would be 0.04 so we add them together and we get $58 with driving a 3rd of a mile.

Overall:

1st plan: $58 with driving a 3rd of a mile.

2nd plan: $58 with driving 63 miles.

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3 years ago

There are 85 telephones in the editorial department of glencoe publishing company. How many 2- way connections can be made among

sergey [27]

All of the telephones * all of the telephones minus one (because one is in use)

85 * 84 = 7140 connections

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2 years ago

I don't understand what this means.

Alina [70]

Answer:

a) -3x^3 - 2x + y - 10 = 0

b) it a trinomial

c) not sure. sorry. :(

hope this helps.:)

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3 years ago

Two-thirds of the dairy cattle on a farm are in the barn. One-fourth of the beef cattle are in the barn. There are 24 dairy catt

jek_recluse [69]

The correct answer is 36 - there are 36 more beef cattle on the farm than dairy cattle. We can work this out by multiplying 16 by 3 to get 48. 48 take 12 is 36. 16 is one fourth, 24 is two thirds, which means you then need to divide this by two to get 12, which means that 12 is one third.

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2 years ago

An account with a $250 r balance accrues 2% annually. If no deposits or withdrawals are made, what will happen to the interest?

cestrela7 [59]

Answer:

As the Principal, increases each year, the value of Interest also rises each year

Step-by-step explanation:

This is a question of compound interest.

The initial Principal amount is 250 dollars.

In Compound Interest, each year the Principal amount gets changed as the interest gets added up into the Principal to form the new Principal.

Also no, money is being deposited or withdrawn so the principal increases via compound interest only.

Formula for compound interest is

A=P $(1+\frac{r}{100} )^{n}$

where

A=Amount or the new principal accumulated after n years

P=Initial Principal Amount

r= Rate of Interest compounded annually

n=Number of years

As the Principal, increases each year, the value of Interest also rises each year, see the graph for more information.

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3 years ago