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valkas [14]
2 years ago
9

Figures with the same size and shape are

Mathematics
1 answer:
cestrela7 [59]2 years ago
6 0
<span> Congruent </span><span>figures. Hope that helped. </span>
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On a coordinate plane, a parabola opens up. It goes through (negative 2, 4), has a vertex at (0.25, negative 6), and goes throug
serg [7]

The statements true about the the function f(x) = 2x2 – x – 6 are-

  • The vertex of the function is (one-quarter, negative 6 and one-eighth).
  • The function has two x-intercepts.

<h3>What is vertex of parabola?</h3>

The vertex of parabola is the point at the intersection of parabola and its line of symmetry.

Now the given function is,

f(x) = 2x^2 – x – 6

Also, it is given that the vertex is located at (0.25, -6)  and the parabola opens up, the function has two x-intercepts.

Comparing the given function with standard form,

f(x) = a x^2 bx + c

By comprison we get,

a = 2

b = -1

c = -6

Now, x-coordinate of vertex is given as,

x = -b/2a

put the values we get,

x = -(-1)/2*2

or, x = 1/4

Put the value of x in given function, so y-coordinate of the vertex is given as,

f(1/4) = 2(1/4)² - 1/4 - 6

        = -49/6

       = -6 1/8

Hence, The statements true about the the function f(x) = 2x2 – x – 6 are-

  • The vertex of the function is (one-quarter, negative 6 and one-eighth).
  • The function has two x-intercepts.

More about vertex :

brainly.com/question/86393

#SPJ1

3 0
1 year ago
On a map, there are 3 centimeters between two cities. The actual distance between the cities is 45 kilometers.
elena-s [515]

Step-by-step explanation:

3cm on map = 45 km

1 cm on map = Xkm

Xkm = 45 / 3

Xkm = 15km

Therefore scale = 1:15000

7 0
3 years ago
Read 2 more answers
In order to estimate the mean amount of time computer users spend on the internet each​ month, how many computer users must be s
levacccp [35]

Answer:

1877 computer users

Step-by-step explanation:

We have that for 95% of confident, the value of z has a value of 1.96 (attached table about it), they also mention the margin of error (E) that is 10 and finally the standard deviation (sd) that has a value of 221.

We apply the following formula:

n = [z * sd / E] ^ 2

replacing:

n = [1.96 * 221/10] ^ 2

n = 1876.27

that is, the minimum sample size is 1877

7 0
2 years ago
What is −809 in radians? I tried -809pi/180 but it was marked incorrect
GalinKa [24]

Answer:

-14.120 Radians

Step-by-step explanation:

To convert, use this angle degrees to radians formula:

Radians = Degrees x ( Pi / 180)

Try using this formula

6 0
2 years ago
This box is a right rectangular prism. Its dimensions are 3 inches by 3 inches by 11 inches.
Makovka662 [10]

Answer:

Stot = 150 in2

Step-by-step explanation:

there is your anser

4 0
3 years ago
Read 2 more answers
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