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Mathematics 15 Online
OpenStudy (anonymous):

@Abhisar @nincompoop @Michele_Laino Can I get some help please? Question is attached.

OpenStudy (anonymous):

OpenStudy (misty1212):

HI!!

OpenStudy (anonymous):

hi

OpenStudy (misty1212):

a) add 9 b) divide by 4 c) take the square root

OpenStudy (misty1212):

don't forget the \(\pm\)

OpenStudy (michele_laino):

if I add 9 to both sides, I get: \[\Large 4{r^2} - 9 + 9 = 91 + 9\] please simplify

OpenStudy (anonymous):

4r^2=100

OpenStudy (michele_laino):

ok! now I diveide by 4, both sides, so I get: \[\Large {r^2} = \frac{{100}}{4}\]

OpenStudy (michele_laino):

please simplify

OpenStudy (anonymous):

25

OpenStudy (michele_laino):

ok! now we have to take the square root of both sides, so we can write: \[\Large r = \pm \sqrt {25} = ...\]

OpenStudy (anonymous):

so now just the square root of 25?

OpenStudy (michele_laino):

yes! please remember we have two values since we can write this: (-5)^2= 25 (+5)^2=25

OpenStudy (michele_laino):

so we can write: \[\Large r = \pm \sqrt {25} = \pm 5\]

OpenStudy (anonymous):

so the answer is

OpenStudy (anonymous):

@Michele_Laino is C correct?

OpenStudy (anonymous):

@Michele_Laino

OpenStudy (michele_laino):

yes! It is correct!

OpenStudy (anonymous):

can u hrelp me with more please?

OpenStudy (michele_laino):

ok!

OpenStudy (anonymous):

*help

OpenStudy (anonymous):

lol

OpenStudy (anonymous):

OpenStudy (michele_laino):

if we take the square root of both sides, we get: \[\Large z + 7 = \pm \sqrt 3 \]

OpenStudy (michele_laino):

now, I subtract 7 at both sides, so I get: \[\Large z + 7 - 7 = \pm \sqrt 3 - 7\] please simplify

OpenStudy (anonymous):

z= 4

OpenStudy (michele_laino):

no, since at the right side we have not 7-3, the the simplified expression is: \[\Large z = - 7 \pm \sqrt 3 \]

OpenStudy (anonymous):

so a?

OpenStudy (michele_laino):

that's right!

OpenStudy (anonymous):

more?

OpenStudy (anonymous):

please?

OpenStudy (anonymous):

OpenStudy (michele_laino):

if we subtract 4 from both sides, I get: \[\Large {x^2} - 12x + 36 - 4 = 4 - 4\] please simplify

OpenStudy (anonymous):

???

OpenStudy (michele_laino):

what is 36-4=...?

OpenStudy (michele_laino):

after that simplification, we can write this: \[\Large {x^2} - 12x + 32 = 0\]

OpenStudy (anonymous):

ok so whats the answer

OpenStudy (michele_laino):

now we have to solve that equation. Do you know how to solve that quadratic equation?

OpenStudy (anonymous):

nope

OpenStudy (anonymous):

how? @Michele_Laino

OpenStudy (anonymous):

@Michele_Laino how do i?

OpenStudy (michele_laino):

then we have to apply another method

OpenStudy (anonymous):

kk how?

OpenStudy (michele_laino):

we have to search for 2 numbers, such that their sum is 12 and their product is 32

OpenStudy (anonymous):

8 4

OpenStudy (michele_laino):

that's right! so the requested factorization is: \[\Large {x^2} - 12x + 32 = \left( {x - 8} \right)\left( {x - 4} \right)\]

OpenStudy (anonymous):

so C?

OpenStudy (michele_laino):

that's right!

OpenStudy (anonymous):

OpenStudy (michele_laino):

using the rule of the square of a binomial, we can write this: \[\Large {y^2} + 14y + 49 = {\left( {y + 7} \right)^2}\]

OpenStudy (michele_laino):

now: for what values for y, we have \[\Large {\left( {y + 7} \right)^2}=0\]

OpenStudy (michele_laino):

if y= -7, what is (y+7)^2=...

OpenStudy (anonymous):

0 @Michele_Laino

OpenStudy (michele_laino):

ok! so what is the requested value of y?

OpenStudy (anonymous):

answer A?

OpenStudy (michele_laino):

that value for y is y=-7, since (-7+7)^2=0 so what is the right option?

OpenStudy (anonymous):

a or b

OpenStudy (michele_laino):

I think option d

OpenStudy (anonymous):

u r right

OpenStudy (michele_laino):

thanks! :)

OpenStudy (anonymous):

hey quick question r u good at english too?

OpenStudy (michele_laino):

I try, please keep in mind that I'm Italian

OpenStudy (anonymous):

oh ok but you do know i mean grammar right?

OpenStudy (michele_laino):

yes!

OpenStudy (anonymous):

lol im stuck on complements

OpenStudy (michele_laino):

ok! please post your question

OpenStudy (anonymous):

Which describes the underlined word in the sentence? The boys were playing a GAME of chess. A. direct object B. indirect object C. predicate adjective D. predicate nominative

OpenStudy (michele_laino):

please wait I'm ponedering....

OpenStudy (anonymous):

kk

OpenStudy (michele_laino):

I think direct object, namely option A

OpenStudy (anonymous):

i htought the same thing... more?

OpenStudy (michele_laino):

ok!

OpenStudy (anonymous):

more?

OpenStudy (michele_laino):

ok!

OpenStudy (anonymous):

Which describes the underlined word in the sentence? The boys are (champions) at the game of chess. A. predicate nominative B. indirect object C. direct object D. predicate adjective

OpenStudy (anonymous):

i think its A

OpenStudy (michele_laino):

I'm pondering...

OpenStudy (anonymous):

kk

OpenStudy (michele_laino):

yes! that's right!

OpenStudy (anonymous):

Which describes the underlined word in the sentence? Rosalie loaned CINDY a vase for the flowers. A.direct object B.predicate adjective C.predicate nominative D.indirect object

OpenStudy (anonymous):

i think its D

OpenStudy (michele_laino):

yes! I think so!

OpenStudy (anonymous):

Which describes the underlined word in the sentence? Along with the flowers, Sally gave me a packet of seeds. A. predicate nominative B. indirect object C. predicate adjective D. direct object I think its B

OpenStudy (michele_laino):

please, what is the underlined part?

OpenStudy (anonymous):

me

OpenStudy (michele_laino):

yes! I confirm your option

OpenStudy (anonymous):

Which describes the underlined word in the sentence? The principal's voice is the SOUND of authority. A. indirect object B. predicate nominative C. predicate adjective D. direct object i think it's either B or D

OpenStudy (michele_laino):

I think direct object, namely option D

OpenStudy (michele_laino):

please wait

OpenStudy (michele_laino):

I think that the right option is B, namely "predicate nominative"

OpenStudy (anonymous):

Which word is the indirect object in this sentence? Since he hurt his foot, Corey gave her his skateboard to use. A. foot B. his C. Corey D. her

OpenStudy (anonymous):

@Michele_Laino

OpenStudy (anonymous):

@misty1212

OpenStudy (misty1212):

hi!

OpenStudy (misty1212):

what do you need help with?

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