Which is the standard form of the equation of a parabola with a focus of (8, 0) and directrix x = –8?

Answers

Answer 1
Answer: with a parabola that faces left or right it is
(y-k)²=4p(x-h)

p is distance from directix to vertex which is also the distance from vertex to focus

if it opens to the right, then p is positive
if it opens to the left, then p is negative

so we know that directix is-8 and focus is (8,0)
directix is behind the parabola
so therfor the parabola opens to the right
distance from x=-8 to (8,0) is 16 units
16/2=8
p=8

vertex is 8 units to right of directix or 8 units to the left of focus
(8,0) is focus so vertex is (0,0)


(h,k) is vertex
(y-k)²=4p(x-h)
(y-0)²=4(16)(x-0)
y²=64x
Answer 2
Answer:

Answer:

If your on e2020, its C

Step-by-step explanation:

y^2=32x, the work above is correct but they forgot to take the square away in the final answer. hope this helps!


Related Questions

How to find angles of rotation that will carry 12 sided polygon
How many terms are in the expression 20x + 9y
Which is the correct graph of the equation y=-1/3x+5
Slope = -4, passing through (7, 4)
you are planting a rectangle garden. it is 5 feet longer than 3 times its width. the area of the garden is 250 feet. find the dimensions

A _____ is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.

Answers

A function is a rule that assigns each vale of the independent variable to exactly one vale of the dependent variable.

The missing word is the function.

Point to remember:

The definition says that two values of x(independent variable ) may correspond to one value of y(dependent variable) but the vice versa is not true( means two values of y(dependent variable ) does not correspond to one value of x(independent variable) ). This explanation is very powerful tool to check that whether a relation is a function or not.

Answer:Function


A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.

-20t – 12 < -17t -9<-20t + 6

Answers

Answer:

12

Step-by-step explanation:

A bar chart that depicts the frequencies of numerical or measurement data? A)Sample B) Histogram C) Check Sheet D )Process Map

Answers

The correct answer is D

Find the value of k such that (k, k) is equidistant from (−2, 0) and (0, 5). k =____

Answers

To find the value of k such that (k, k) is equidistant from (-2, 0) and (0, 5), we can use the distance formula.

The distance between two points (x1, y1) and (x2, y2) is given by the formula:

Distance = √((x2 - x1)² + (y2 - y1)²)

Let's calculate the distances from (k, k) to (-2, 0) and (0, 5) and set them equal to each other:

√((k - (-2))² + (k - 0)²) = √((k - 0)² + (k - 5)²)

Simplifying this equation:

√((k + 2)² + k²) = √(k² + (k - 5)²)

Squaring both sides of the equation to eliminate the square roots:

(k + 2)² + k² = k² + (k - 5)²

Expanding and simplifying:

k² + 4k + 4 + k² = k² + k² - 10k + 25

2k² + 4k + 4 = 2k² - 10k + 25

Rearranging terms:

4k + 4 = -10k + 25

Combining like terms:

14k = 21

Dividing both sides by 14:

k = 21 / 14

Simplifying the fraction:

k = 3 / 2

Therefore, the value of k that makes (k, k) equidistant from (-2, 0) and (0, 5) is k = 3/2.  

Solve the equation r+11+8r=29

Answers

Combine like terms: r+8r=9r. subtract 11 from both sides 9r=18. r=2
Ok so lets evaluate this equation. First,we have to combine like terms which in this case us r only. So lets do it r+8r is simply 9r+11=29 so now since we want to isolate or in other terms get r the variable  by itself we would have to subtract  11 form both sides. 29 -11 is simply 18 now we have 9r=18 divide 9 on both sides and r is equal to 2 

Evaluate the expression when a = 30 and b=6.a+b2
a-4b
Simplify your answer as much as possible.
II
Х
?

Answers

Answer:

a+b2

a+4b

Now,

30+6×2

30-4×6

30+12

30-24

42

6