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Vesnalui [34]
3 years ago
14

Solve for A Exact (no rounding, no calculator needed) 0 = A^2 + 13A + 36

Mathematics
1 answer:
marysya [2.9K]3 years ago
3 0

Answer:

-4 or -9

Step-by-step explanation:

-a^2-13a-36=0

(-a-4)(a+9)=0

-a-4=0

a+9=0

a= -4, -9

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Anthony buys one pound of oranges for $12 and sells it for $14. How can he write the profit in his account book?
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The answer would be, A) +$2 because he spend $12 but earned $14 so when you subtract 14 and 12 you get $2, which would be his profit
5 0
4 years ago
The equation of a parabola is given. y=18x2+4x+20 What are the coordinates of the focus of the parabola?
Mama L [17]

The equation of a parabola is given. y=18x^2+4x+20

Here the value of 'a' = 18 and it is positive, it means the parabola opens up.

For vertical parabola the focus point is (h , k+p)

Where (h,k) is the vertex and p = \frac{1}{4a} (p is the distance between vertex and focus)

First we find vertex (h,k)

h = \frac{-b}{2a}

a = 18 and b = 4

So h= \frac{-4}{2*18} = \frac{-4}{36} = \frac{-1}{9}

Plug in -1/9 for x and find out k

k = y = 18x^2+4x+20 = 18(\frac{-1}{9})^2  + 4(\frac{-1}{9}) + 20

= (\frac{2}{9})  + (\frac{-4}{9}) + 20

= \frac{178}{9}

So vertex is (\frac{-1}{9}, \frac{178}{9})

P = \frac{1}{4a}, we know a= 18

So p = \frac{1}{4*18} = \frac{1}{72}

Focus is ( h, k +p)

h = \frac{-1}{9} k = \frac{178}{9}

and p = \frac{1}{72}

k + P = \frac{178}{9} + \frac{1}{72}

Take common denominator 72

k + p = \frac{1424}{72} + \frac{1}{72} = \frac{1425}{72} = \frac{475}{24}

Focus point is ( \frac{-1}{9} , \frac{475}{24})

8 0
4 years ago
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Answer:

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Step-by-step explanation:

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8 0
3 years ago
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write correct if the operations are listed in the correct order. if not correct, write the correct order of operations. 3x4÷2 di
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PEMDAS applies, so it should be multiply, then divide.
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