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Lesechka [4]
3 years ago
12

Write the quadratic equation y= x^2 -6x = 7 in vertex form.

Mathematics
1 answer:
lapo4ka [179]3 years ago
7 0

Answer:

(x - 3)² - 16 = 0

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Subtract 7 from both sides

x² - 6x + 7 = 0 ← in standard form

with a = 1, b = - 6

Given a quadratic in standard form then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a} = - \frac{-6}{2} = 3

Substitute x = 3 into the equation for y

y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)

y = (x - 3)² - 16 = 0

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bagirrra123 [75]
It would be 1/2 = 6/12
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Find the measures of an interior angle and an exterior angle of a regular 16-gon
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Answer:

2520°

Step-by-step explanation:

The sum of the angles in any triangle is 180°

shape. sides. triangles. sum int angles.

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3 years ago
Find dy/dx by implicit differentiation. <br> 4x2 + 5xy - y2 = 6
Vlada [557]
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combining y' terms
y' (5x-2y) +8x +5y = 0

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dy/dx = -(8x+5y)/(5x-2y)
or
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5 0
3 years ago
If shown a graph and asked for domain range and function how do you proceed?
nata0808 [166]

Considering their concepts, on the graph of a function, the domain and the range are given as follows:

  • Domain: Horizontal axis, values of x.
  • Range: Vertical axis, values of y.

<h3>What are the domain and the range of a function?</h3>

  • The domain of a function is the set that contains all the values of the input.
  • The range of a function is the set that contains all the values of the output.

In a graph, the horizontal axis represents the input and the vertical axis represents the output, hence the domain and the range are given as follows:

  • Domain: Horizontal axis, values of x.
  • Range: Vertical axis, values of y.

More can be learned about the domain and the range of a function at brainly.com/question/10197594

#SPJ1

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