jess.shen2024

First, label the appropriate diagram of the parallelogram. If the diagonals are perpendicular to each other, then the sides of ABCD has to be 5.

use the equation for obtuse triangles

\(AB^2>25=3^2+4^2=AE^2+BE^2\)

all four angles around E, would be obtuse, which you can figure out to be impossible, so the side can't be longer than 5

Thank you both to heureka and Melody! I read the article, and used heureka's method to find another way to solve the problem.

this is a simple ratios and proportions question

since 1 us dollar= 120 isk, all you need to do is to divide these two numbers because you are trying to find U.S dollars

so 2370 isk/120isk = 19.75

$19.75 where a = 1, b= 9, c= 7, and d=5

I don't know which type of pyramid volume area you are asking for, but...

Right Rectangular pyramid: Volume= lwh/3

where l=length, w-width, and h= height

Right Square pyramid: Volume= a^2h/3

hope this helps

thanks Melody!

Question: On a Sunday I put two rabbits in a cage. If the number of rabbits in the cage doubles every day, on what day did the cage first have more than 100 rabbits in it?

Sunday: 2 rabbits in a cage

you are basically multiplying by a power of 2 each day because you are "doubling" the number of rabbits

2^6 = 64 and 2^7 = 128

Hence, you get Sunday, because 2^7 is the first day you have more than 100 rabbits, and 7 days is a week!

i also joined recently and i love this website! you can ask questions for help, and even reply and help others. If you go to the forum page, you can see and/or filter unanswered or answered questions.

People are very quick at answering problems, so don't be afraid to ask a math question/concept you don't understand!

the left corner one should be the answer because...

f(x)=x^2-x-2

f(0) = 0^2-0-2 which is -2      plug numbers in

the bottom left is the only one with points (0,-2)

(CPhill's  is much more mathematical lol)

3.

Similarly to question 2, you should simplify all the like terms first

x^2+12x+61=0

in ax^2+bx=c you get a=1 b=12 c=61

use the quadratic formula to find the roots of the equation

solve this and you should get the 2 roots

x= -6+5i , x= -6-5i

no problem!

you are much better at explaining than me!

2. 

move all the numbers on one side so that the right side is left with 1

x^2+6x-15=0

use the quadratic formula to find smallest x can be

you should get something like

x = -3-2sqrt(6)

there is a very simple solution to this:

2,000/25= 80

 so 25 can go into 2,000 80 times