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3 years ago

The ratio of the measurement of an angle to its supplement is 3:5. Find the angle and its supplement.

Mathematics

1 answer:

notsponge [240]3 years ago

3 0

67.5
112.5

:)))))))))))

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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>

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

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3 years ago

There is an ice cream & candy shop next door that is the

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Answer:

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A $400 table is on sale for 33% off. There is a 6.8% sales tax. How would you find the final price of the table?

vladimir1956 [14]

Answer:

if i am right it 260

Step-by-step explanation:

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3 years ago

Plz subscribe to my channel Mr.PorkXchop 101

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No thanks buddy bye

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2 years ago

Find the distance 2/3rd from 8 to -4.

Licemer1 [7]

So in total 8+4 would be 12 spaces. Rmr when you calculate distance you can’t subtract a negative. A negative really means backwards not destroyed in terms of distance. So total is 12 spaces.

2/3 of 12 is 8. Think of it like this
2/3=x/12
You could do butterfly or you could realize 3x4=12
So 2x4=8 would be proportional to the ratio we are looking for.

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3 years ago