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omeli [17]
3 years ago
11

T he equation for a parabola with directrix y = –p and focus (0, p) is:

Mathematics
1 answer:
zhuklara [117]3 years ago
3 0

The equation for a parabola with directrix y = –p and focus (0, p)

The distance between vertex and directrix is P

Also the distance between vertex and focus is also P

Focus (0,p) so focus lies on y axis

Directrix line is paralled to focus point

So Directex crosses the x axis .

Hence line of symmetry lies is the y-axis.

The graph is attached below.


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Jupiter and Saturn have the two largest diameters of all the planets. The diameter of Jupiter is 88,846 miles and the diameter o
andriy [413]
J = 88846
S = 74897
J = 4.6m + S

Plug in what you know.

88846 = 4.6m + 74897
7 0
3 years ago
MAY SOMEONE HELP ME PLZ 8:&:$37,$:&,$
Fed [463]

Answer:

5. y = (x^2) / 2

6. y = -2x^2

6 0
2 years ago
1. How do you determine whether a function is an inverse of another function?
-BARSIC- [3]
<h3>Answer:</h3>
  1. Find the composite of the functions
  2. x/3
  3. All the answers are correct
  4. f(x) = 2+∛(x/3)
  5. f(x) = (x+3)/2
<h3>Step-by-step explanation:</h3>

1. If f(x) and g(x) are inverse functions, then f(g(x)) = g(f(x)) = x. Finding the composite of the two functions will tell you if they are inverses.

2. To find the inverse of a function, swap x and y, then solve for y.

... x = 3y

... x/3 = y . . . . . matches f(x) = x/3

3. A function will pass the vertical line test. If its inverse is also a function, that, too, will pass the vertical line test. Since the inverse of a function is that function reflected across y=x, any inverse function that passes the vertical line test corresponds to an original function that passes the horizontal line test. (A vertical line reflected across y=x is a horizontal line.)

4. See 2.

... x = 3(y -2)³

... (x/3) = (y -2)³ . . . . divide by 3

... ∛(x/3) = y -2 . . . . .take the cube root

... 2+∛(x/3) = y . . . . .add 2

... f(x) = 2+∛(x/3) . . . . is the inverse

5. See 2.

... x = 2y -3

... x+3 = 2y . . . . . add 3

... (x+3)/2 = y . . . .divide by 2

... f(x) = (x+3)/2 . . . .  is the inverse

8 0
3 years ago
Please help i’ll mark you as brainliest! :)
chubhunter [2.5K]

Answer:

above is the solution to the question

4 0
2 years ago
Read 2 more answers
Estimate the percent of each number. 47% of 77
Anettt [7]

ANSWER

36 .19

EXPLANATION

We want to estimate

47\% \: of \: 77

This is the same as

\frac{47}{100}  \times 77

or

\frac{47}{100} \times  \frac{77}{1}

We multiply the numerators to get,

\frac{3619}{100}

We convert to decimals to get

36.19

5 0
3 years ago
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