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Finger [1]
2 years ago
11

Is c2−6c+9 a perfect square?

Mathematics
1 answer:
Roman55 [17]2 years ago
8 0

Answer:

yes it's a perfect square

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Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?
Anastasy [175]

Answer:

y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

Step-by-step explanation:

An equation in the vertex form is written as

y = a (x-h) + k

Where the point (h, k) is the vertex of the equation.

 

For an equation in the form ax ^ 2 + bx + c the x coordinate of the vertex is defined as

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

In this case we have the equation y = 9x^2 + 9x - 1.

Where

a = 9\\\\b = 9\\\\c = -1

Then the x coordinate of the vertex is:

x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}

The y coordinate of the vertex is replacing the value of x = -\frac{1}{2} in the function

y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}

Then the vertex is:

(-\frac{1}{2}, -\frac{13}{4})

Therefore The encuacion excrita in the form of vertice is:

y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

To find the coefficient a we substitute a point that belongs to the function y = 9x^2 + 9x - 1

The point (0, -1) belongs to the function. Thus.

-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}

-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9

<em>Then the written function in the form of vertice is</em>

y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

7 0
3 years ago
10,000 round to the nearest ten thousand
wlad13 [49]

Answer:

i think it would be 10,000

I hope it helped!

5 0
3 years ago
Read 2 more answers
Find the product of √4(√8+3)
Scrat [10]

Answer:

2(2.82 + 3)

2(5.82)

11.65

Step-by-step explanation:

3 0
3 years ago
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Find the distance between A (-3,<br> - 4) and B (5. – 10).
Kamila [148]

Answer:

16.13

Step-by-step explanation:

Sorry!! if I am wrong....

7 0
3 years ago
Write an equation in slope-intercept form of the line
Blizzard [7]

Answer:

y=-6x+42

Step-by-step explanation:

answer is able

8 0
3 years ago
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