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aivan3 [116]
3 years ago
6

Evaluate: √225 . Is the result an integer? someone please help me-

Mathematics
1 answer:
AlexFokin [52]3 years ago
6 0
15 is an integer. The square root of 225 is 15.
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PLEASE HELP ME!!!!!!
Nata [24]

9514 1404 393

Answer:

  vertex: (2, -3.2)

  axis of symmetry: x = 2

  zeros: x=0, x=4

  formula for axis of symmetry:

  • x = <x-coordinate of vertex>
  • x = -b/(2a) . . . . . . . where the quadratic is ax^2 +bx +c
  • x = average of zeros, (z1 +z2)/2

Step-by-step explanation:

a) The vertex x-coordinate is halfway between the zeros, so is x = (0+4)/2 = 2. It is where the graph has a turning point.

The vertex y-coordinate is the low point of this graph. It is not on a grid line, so we can only guess at its value. I choose to call it -3.2.

The vertex is (2, -3.2).

__

b) The axis of symmetry is the vertical line through the vertex. The constant in its equation is the x-coordinate of the vertex:

  x = 2

__

c) The zeros of the function are where the function crosses the x-axis. These are marked on the graph with red dots. The zeros are x=0 and x=4.

__

d) When the quadratic is written in standard form, ax^2 +bx +c, the equation of the axis of symmetry is ...

  x = -b/(2a) . . . . . perhaps this is the formula you're being asked for (?)

When there is no equation, the axis of symmetry can be found from the graph a couple of ways. One is to identify the x-coordinate of the vertex.

  x = <x-coordinate of the vertex>

Another is to average the zeros, since they are symmetrical about the axis of symmetry.

  x = average of zeros = (z1 +z2)/2

If the quadratic is written in vertex form, the vertex coordinate is the constant in the equation for the axis of symmetry.

  y = a(x -h)^2 +k . . . . . quadratic with vertex (h, k)

  x = h . . . . . . equation of axis of symmetry

8 0
2 years ago
Amanda, Bryan, and Carl are about to compete in 100
Sveta_85 [38]

9514 1404 393

Answer:

  6

Step-by-step explanation:

Any of the three can be in first place.

Any of the remaining two can be in 2nd place.

The remaining swimmer will be in 3rd place.

There are 3 × 2 × 1 = 6 possible orderings of the swimmers.

7 0
3 years ago
What is the average rate of change of y with respect to x over the interval -3,4 for the function y=2x+2
Sedbober [7]
I am sure that is the answer .

3 0
3 years ago
Please help meeeeeeeeeee
Dafna11 [192]

Answer:

I do not speak spanish

Step-by-step explanation:

8 0
3 years ago
A fish has a triangular tooth with the height that is 2 centimeters longer than the base. If the are of the tooth is 12 square c
OlgaM077 [116]

Answer:Fishes have a triangular teeth with a height that is 1 centimeter longer than the base. If the area of one tooth is 15 square centimeters, find its base and height. The triangle shows the base to be x and the height to be x+1.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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