#1

im not too great with word problems.

id ask a teacher but im home schooled and my parents arent of much help.

yes i know to some of you this seems uber easy but please bear with me, im terrible at algebra or any other form of math

#1

two boats leave San Diego at the same time. One boat sails due north and the other due west. When they are 10 miles apart, the boat traveling north has sailed 2 miles farther than the boat sailing west. Find the distance each boat has traveled.

#2

the product of two consecutive positive integers is 55 more than their sum. Find the integers.

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im not asking for the answers, more of can someone show me how to kinda work it out.

but if you have the answers id appreciate that too

id ask a teacher but im home schooled and my parents arent of much help.

yes i know to some of you this seems uber easy but please bear with me, im terrible at algebra or any other form of math

#1

two boats leave San Diego at the same time. One boat sails due north and the other due west. When they are 10 miles apart, the boat traveling north has sailed 2 miles farther than the boat sailing west. Find the distance each boat has traveled.

#2

the product of two consecutive positive integers is 55 more than their sum. Find the integers.

--------------------

im not asking for the answers, more of can someone show me how to kinda work it out.

but if you have the answers id appreciate that too

#2

dont even think thats alegbra

sounds like pythag or trig but i cba to work it out

sounds like pythag or trig but i cba to work it out

#3

#1: trig, figure it out

#2: a, a+1

a(a+1) = a+a+1+55

a^2+a = 2a + 56

a^2 - a = 56

therefore, because I am awesome, a = 8

So the numbers are 8 & 9.

#2: a, a+1

a(a+1) = a+a+1+55

a^2+a = 2a + 56

a^2 - a = 56

therefore, because I am awesome, a = 8

So the numbers are 8 & 9.

*Last edited by dangorironhide at May 29, 2008,*

#4

the first one has to do with a triangles sides probably...

The biggest side isthe 10 miles and the other two sides should be the distance each ship has made...

so if A is the distance of the one traveling west then the other is A+2

If it where a 90* triangle it would be fine but i dunno how it is given...

hope i helped

The biggest side isthe 10 miles and the other two sides should be the distance each ship has made...

so if A is the distance of the one traveling west then the other is A+2

If it where a 90* triangle it would be fine but i dunno how it is given...

hope i helped

#5

#1 - draw it out

#2 - see dangorironhide

#2 - see dangorironhide

#6

I drew you a picture for #1. Aren't I nice?

x^2 + y^2 = z^2

Therefore:

a^2 + (a+2)^2 = 10^2

Figure it out from there.

EDIT: Oh yeah, picture not to scale.

EDIT2: I did it North & East, but it's essentially the same problem

x^2 + y^2 = z^2

Therefore:

a^2 + (a+2)^2 = 10^2

Figure it out from there.

EDIT: Oh yeah, picture not to scale.

EDIT2: I did it North & East, but it's essentially the same problem

*Last edited by dangorironhide at May 29, 2008,*

#7

I drew you a picture for #1. Aren't I nice?

x2 + y2 = z2

Therefore:

a^2 + (a+2)^2 = 10^2

Figure it out from there.

EDIT: Oh yeah, picture not to scale.

that's what i said...

i didn't know about the 90* though coz even if it said "north" "west"

didn't define it...

#8

the first one has to do with a triangles sides probably...

The biggest side isthe 10 miles and the other two sides should be the distance each ship has made...

so if A is the distance of the one traveling west then the other is A+2

If it where a 90* triangle it would be fine but i dunno how it is given...

hope i helped

EDIT: Nevermind, someone has explained it better.

Basically, think of two numbers that you could square, add togther and the result would be 10^2. If there is a difference of 2 between the answers then that's you're answer.

*Last edited by leper_affinity at May 29, 2008,*

#9

thank all of you

i understand it better if i see it written out in like an equation

sentences make my brain cry.

i understand it better if i see it written out in like an equation

sentences make my brain cry.

#10

boat one goes due north of san diego and runs aground at del mar. learn your geography, math teachers!

#11

I drew you a picture for #1. Aren't I nice?

x^2 + y^2 = z^2

Therefore:

a^2 + (a+2)^2 = 10^2

Figure it out from there.

EDIT: Oh yeah, picture not to scale.

I did that at work, but came up with a funny answer.

Bear in mind it's been like 5 or so years since I did this, so I rpobably made a booboo.

#12

I drew you a picture for #1. Aren't I nice?

x^2 + y^2 = z^2

Therefore:

a^2 + (a+2)^2 = 10^2

Figure it out from there.

EDIT: Oh yeah, picture not to scale.

EDIT2: I did it North & East, but it's essentially the same problem

dangorironhide

#13

I did that at work, but came up with a funny answer.

Bear in mind it's been like 5 or so years since I did this, so I rpobably made a booboo.

I have a=6, that what you get?

It's quite simple anyway. I can't remember what they're called, but it's one of those triangles where the numbers are all whole ones.

3,4 H=5

6,8 H=10

5,12 H=13

etc

#14

I ddin't at first, but then I recognised the triangel shape as one of the standards, so yeah I did.

Edit: Found my miscalculation.

Yeah, a=6

Edit: Found my miscalculation.

Yeah, a=6