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Katyanochek1 [597]
2 years ago
13

Which statements describe a parabola? Check all that apply. A parabola is the set of all points equidistant from the directrix a

nd focus. The fixed line is called the vertex of a parabola. The focus is a fixed point inside the parabola. The line of symmetry intersects the focus and directrix. The line of symmetry and the directrix are perpendicular. The parabola intersects the directrix.
Mathematics
2 answers:
katen-ka-za [31]2 years ago
8 0

Answer:

A parabola is the set of all points equidistant from the directrix and focus.

The line of symmetry intersects the focus and directrix

The line of symmetry and the directrix are perpendicular

Step-by-step explanation:

A parabola is the set of all points in a plane that are equidistant from a fixed point (focus) and a line (directrix).

The fixed line of a parabola is known as the directrix of the parabola.

The line of symmetry is a line that passes through the focus and is perpendicular to the directrix. The line of symmetry divides the parabola.

The directrix of a parabola does not intersect touch the parabola

-Dominant- [34]2 years ago
8 0

Answer:

1,3,4,5 are correct

Step-by-step explanation:

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4/5(20e - 5q) - 1/9(-27q + - 18e)<br><br>help
Lady bird [3.3K]

Answer: =−q+48.929073 <-- coming frm a calculator lol

Step-by-step explanation:

7 0
2 years ago
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Which function is the inverse of f(x) = 2x + 3 ?
siniylev [52]
I think it might be f^-1 (x) = x/2 - 3/2
I hope this helps!
6 0
2 years ago
Sarah is 6 years older than Amy.
Umnica [9.8K]

Answer:

B.

Step-by-step explanation:

The problem has got to be addition.

The sentence "Sarah is 6 years older than Amy." does not include any hint of subtracting, or multiplying.

A hint of multiplying in a expression would be the word 'times', like "Brandon is 6 times the age of Emily" which eliminates D.

A hint of subtraction in an expression would be the word 'less', like "Brandon is 6 less the age of Emily." which eliminates A and C.

The word 'older' indicates addition, or adding, and if it would have been subtraction, the keyword would be 'younger' because you are subtracting their age, like 19 - 11. The same goes with B, but adding.

Finally, we now know that it is B because there is no other addition choice.

I hope this helped. Please correct me if I am wrong.

8 0
3 years ago
What is the area of a semicircle with diameter of 6
pogonyaev
Area of circle = pi (d/2)^2
area of semi-circle =0.5* pi (d/2)^2
                             =0.5* pi (6/2)^2
                             =14.14

5 0
2 years ago
Read 2 more answers
Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with
soldier1979 [14.2K]

The distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

<h3>Probability</h3>

a. Distribution

X ~ N (20 , 6)

b. P(x ≤24)

= P[(x - μ ) / σ  (24 - 20) / 6]

= P(z  ≤0.67)

=  0.74857

=0.7486

Hence:

Probability = 0.7486

c. P(21 < x < 26)

= P[(21 - 26)/ 6) < (x - μ  ) / σ   < (24 - 20) / 6) ]

= P(-0.83 < z < 0.67)

= P(z < 0.67) - P(z < -0.)

=  0.74857- 0.2033

= 0.54527

Hence:

Probability =0.54527

d. Using standard normal table ,

P(Z < z) = 66%

P(Z < 0.50) = 0.66

z = 0.50

Using z-score formula,

x = z×  σ +  μ

x = 0.50 × 6 + 20 = 23

23 Christmas cards

Therefore the distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

Learn more about probability here:brainly.com/question/24756209

#SPJ1

8 0
2 years ago
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