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uysha [10]
3 years ago
5

Simplify the expression. 68 – 18 ÷ 3 • 6 Please help

Mathematics
1 answer:
MAXImum [283]3 years ago
5 0
Remember PEMDAS (Parenthesis, Exponents, Multiplication, Divison, Addition and Subtraction)

Also note that Multiplication and Division needs to be done left to right and the same goes for Addition and Subtraction.

So in your problem, the first operation we need to do is division.

68 - (18/3) x 6
68 - 6 x 6

Now we do multiplication
68 - 6 x 6
68 - 36

Finally we do subtraction because that's the only operation we have left to do
68 - 36 = 32

So your answer should be 32.
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Three vertices of a square have coordinates (5, 1), (2, -2), and (-1, 1). What are the coordinates of the fourth vertex?
Tresset [83]
Plot the points
we notice that the square is tilted diagnaol

remember that the legnths of the diagonals of a square are equal


therefor the distance between the points (5,1) and (-1,1) is the same as the ohter diagonal (distance is 6)

the other point is probably that disance up or the y vairable
(2,-2)+6 on the y
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3 years ago
Write p(x) = 21 + 24x + 6x2 in vertex form.
Citrus2011 [14]

<u>ANSWER</u>

p(x)=-3+6(x+2)^2


<u>EXPLANATION</u>


The given function is


p(x)=21+24x+6x^2


We make the coefficient of x^2 unity by factoring 6 out of the last two terms to obtain;


p(x)=21+6(4x+x^2)


We now add and subtract half the coefficient of x multiplied by a factor of 6 to obtain;


p(x)=21-6(2)^2+6(2)^2+6(4x+x^2)


We now factor 6 out of the last two terms to get;


p(x)=21-6\times 4+6((2)^2+4x+x^2)


p(x)=21-24+6((2)^2+4x+x^2)


The quadratic trinomial in the parenthesis is now a perfect square.


p(x)=-3+6(x+2)^2


Hence the vertex form of the polynomial is


p(x)=6(x+2)^2-3









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