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2 years ago

What is the following equation formed when completing the square on Y^2-12y=-27

Mathematics

2 answers:

Salsk061 [2.6K]2 years ago

7 0

Answer:y^1=3 ,y^2=9 if im wrong sorry im wrong but hope you get an a

dolphi86 [110]2 years ago

4 0

Answer:

$(y -6)^{2} = 9$

Step-by-step explanation:

Given the function:

$y^{2} -12y = -27$

To find the completing the square of the above function, we use the following formula:

$a^2-2ab+b^2=(a-b)^2.$ So we have:

$y^{2} -12y = -27$

$y^2-2\times x\times 6+6^2=-27+6^2\\(y-6)^2=-27+36\\ (y-6)^2=9.$

Hope it can find you well.

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The number that, when increased by 30% equals 78

Arlecino [84]

Answer:

Step-by-step explanation:

x + 0.30x = 78

1.30x = 78

x = 60

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What is the sum of the interior angles of a regular polygon with 5 sides?

ZanzabumX [31]

Answer:

540 is the ans

Step-by-step explanation:

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The yearly cost in dollars, y, at a video game arcade based on total game tokens purchased, x, is y = x + 60 for a member and y

morpeh [17]

We have the yearly cost in dollars y at a video game arcade based on total game tokens purchased $x$ . So we know that:

 $y=x+60:\ equation \ for \ a \ member$ 

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Then we can study this problem by using the graph in the figure below. We know that if there's no any purchase, the yearly cost for a member will be $60 and for a nonmember there will not be any cost. From this, we can affirm that the cost of membership is equal to $60.

On the other hand, both members and nonmembers will pay the same price on the total game tokens purchased, this is true because of the same slope that members and nonmembers have in the equations.

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two girls went shopping and spent $334. one girls spent $16 more thent the other girl did. how much did each spend

Taya2010 [7]

I will try my best to assist you with your question ,

First we must divide the amount by 2

334/2 = 167

Now we add 16

167 + 16=183

So, the girl spent $183

Wow, she is spoiled!

Hope I helped!

Good Luck!

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2 years ago

True or false? A correct answer is worth (2 pts). Explain how you know for the additional (2 pts). Using complete sentence for (

PtichkaEL [24]

answer (in words)

FALSE. the coordinate pair (5, 2) is not a solution to the equation $2x+3y=10$ . in order to figure out whether or not the statement is true or false, plug the $x$ and $y$ values from the coordinate pair (5, 2) into the given equation, $2x+3y=10$ . if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.

(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)

answer (algebraic/steps for solving)

first, plug in 5 for $x$ in the equation $2x+3y=10$ .

$2x+3y=10$ ⇒ $2(5)+3y=10$

then plug in 2 for $y$ .

$2(5)+3y=10$ ⇒ $2(5)+3(2)=10$

now your equation is $2(5)+3(2)=10$ . all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.

$2(5)+3(2)=10$ ⇒ $10 + 3(2) = 10$

multiply 3 · 2.

$10 + 3(2) = 10$ ⇒ $10 + 6 = 10$

add 10 + 6.

$10 + 6 = 10$ ⇒ $16=10$

16 and 10 are not equal, therefore (5, 2) is not a solution to the equation $2x+3y=10$ . in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.

i hope this helps! have a great rest of your day <3

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2 years ago