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Lapatulllka [165]
1 year ago
10

Identify the Vertex: x^2 - 12x + 44

Mathematics
1 answer:
nikklg [1K]1 year ago
3 0

The vertex of the given quadratic polynomial function is (6, 8)

A quadratic polynomial function is the one which can be represented in the form ax² + bx + c = y where a, b and c are coefficients and x, and y are independent and dependent variables respectively. A parabola is formed when the quadratic polynomial is plotted on graph. The x coordinate of the vertex can be found using formula (-b/2a) and y coordinate can be found by putting the value of x in the equation.

Given polynomial function x² - 12x + 44

Now, x = (-b/2a)

x = (12/2)

=> x = 6

Now, y = 6² - 12×6 + 44

y = 36 - 72 + 44

=> y = 8

Therefore, Vertex = (6, 8)

Learn more about Vertex of quadratic polynomial at:

brainly.com/question/15385707

#SPJ9

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An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many face
nadezda [96]

1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

Hope this can help you.

4 0
3 years ago
A ribbon that is 22 3/4 inches long has to be divided into 7 equal pieces
denis-greek [22]

Answer:

3 1/4 inches

Step-by-step explanation:

22 3/4 ÷ 7

21÷7=3

1 3/4 = 7/4

7/4= 1/4+1/4+1/4+1/4+1/4+1/4+1/4

3 1/4 inches

4 0
3 years ago
Read 2 more answers
Point D is between Points E and F. DE = 3x + 9, DF = 12x - 1<br> and EF = 38. Find DE and DF.
jarptica [38.1K]

Answer:

DE = 15

DF = 23

Step-by-step explanation:

E___D___F

EF = DE + DF

38 = (3x +9) + (12x-1)

38 = 15x + 8

15x = 38 - 8

15x = 30

x = 30/15

x = 2

DE = 3x + 9 = 3(2) + 9 = 6 + 9 = 15

DF = 12x - 1 = 12(2) - 1 = 24 - 1 = 23

I hope I helped you^_^

7 0
3 years ago
Can someone tell me what 1/2 - 1/6 is would really appreciate it, thanks
timama [110]
Make denominator same first.

1/2 - 1/6

3/6 - 1/6

Now subtract numerators

(3-1) / 6

2/6

Now simplify

1/3

Final answer: 1/3
5 0
3 years ago
Use the figure below to answer questions 10-11.
Anton [14]

The two marked angles are complementary angles. This means that the angles are equal.

Hence, X + 1 = 2X - 3.

By rearranging, X = 4.

5 0
3 years ago
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