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Mathematics 9 Online
Nicole:

http://prntscr.com/lnnio2

Nicole:

@Vocaloid

Nicole:

@Hero

Vocaloid:

For the top one you just need to re-write both terms by moving the decimal point the appropriate number of spaces indicates by the exponent For example, 1.26 * 10^(-3) means take 1.26 and move the decimal place to the left three places to get standard form

Vocaloid:

For the bottom one you just need for apply the exponent rule to the product, remember that when you multiply the same base together you’d add the exponents

Nicole:

the first one is D?

Vocaloid:

Yes

Nicole:

and the second im also thinking D or B

Vocaloid:

Remember you just add the exponents and keep the base 10

Nicole:

but would we add or multiply 4 and 5?

Vocaloid:

Multiply

Nicole:

so A

Vocaloid:

Yes

Nicole:

http://prntscr.com/lno74t

Vocaloid:

for the top one use the distance formula; for the second one use the midpoint formula

Nicole:

wouldnt it be \[\sqrt{40}\]?

Nicole:

or am i doing it wrong?

Vocaloid:

check your calculations again, be careful with signs

Nicole:

isnt it like 3.16 something?

Vocaloid:

since the results are in radical form, leave your solutions in radical form

Vocaloid:

sqrt[(-2-1)^2 + (4-3)^2] = ?

Nicole:

but thats the decimal so the radical form is \[\sqrt{10}\]

Vocaloid:

yup that's it

Nicole:

and the second one is B?

Vocaloid:

yes

Nicole:

http://prntscr.com/lnoges

Vocaloid:

pythagorean theorem a^2 + b^2 = c^2 where c is the hypotenuse, and a and b are the other two sides you are given c = 5sqrt(2) (the hypotenuse) and a = 5 (one of the other sides) so you can solve for b (the last side)

Nicole:

like this? http://prntscr.com/lnoinc

Vocaloid:

that final exponent 2 needs to apply to the entire expression [ 5sqrt(2) ] ^2

Nicole:

i keep getting b=15

Vocaloid:

5^2 + b^2 = [5sqrt(2)]^2 if all else fails try solving it manually

Nicole:

b=5

Vocaloid:

good

Nicole:

are these correct http://prntscr.com/lnolj3

Vocaloid:

yup

Nicole:

http://prntscr.com/lnom7t

Vocaloid:

good

Nicole:

okay tyy i got them all right

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