1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mart [117]
2 years ago
15

A parabola can be drawn given a focus of (8,4) and a directrix of x = 6. Write the

Mathematics
1 answer:
frosja888 [35]2 years ago
4 0

9514 1404 393

Answer:

  x = 1/4(y -4)² +7

Step-by-step explanation:

A parabola can have the equation ...

  x = 1/(4p)(y -k)² +h

where the vertex is (h, k), and the vertex-to-focus distance is p.

The vertex is halfway between the focus and directrix, so has coordinates ...

  ((8, 4) +(6, 4))/2 = (7, 4)

The distance from the vertex to the focus is 8-7 = 1, so the equation can be written ...

  x = 1/4(y -4)² +7

You might be interested in
Sec(pi/2)=csc x-true or false
jeka94

False.

\sec{\dfrac{\pi}{2}}=undefined

Hope this helps.

r3t40

6 0
3 years ago
Read 2 more answers
Please help!! I need to go to the next question!
tino4ka555 [31]

Given:

The inequality is:

3t+1\leq 5

To find:

The graph of the given inequality.

Solution:

We have,

3t+1\leq 5

Subtract both sides by 1.

3t\leq 5-1

3t\leq 4

Divide both sides by 3.

t\leq \dfrac{4}{3}

The value of t is less than or equal to \dfrac{4}{3}.

Since t\leq \dfrac{4}{3}, it means \dfrac{4}{3} is included in the solution, therefore there is a  closed circle at t=\dfrac{4}{3} and an arrow approaches to left from t=\dfrac{4}{3}.

Therefore, the correct option is A.

5 0
3 years ago
Which of the following is an equation of the circle with its center at (0,0) that passes through (3,4) in the standard (x,y) coo
natka813 [3]

Answer: x² + y² = 25

Step-by-step explanation: As we have x²+y²=25 (A) as options,

                                                                x-y=1 (B)

                                                                x+y=25 (C)

                                                                x²+y²=5 (D)

We can rule out B and C as they are not circles. Circles must be

(x - xc)² + (y - yc)² = r². They must have index 2.

We have then A or D.

As the circle must pass through (3,4), we can substitute as x=3 and y=4

(A) 3² + 4² = 9 + 16 = 25 ok

(D) 3² + 4² = 9 + 16 = 25 ≠ 5

So, it is A, x² + y² = 25

4 0
3 years ago
Show that the equation x^3+7x-4=0 has a solution between x=0 and x=1
Aleksandr [31]

Step-by-step explanation:

Using the Intermediate Value Theorem, the following is applied:

"If f(x) is a continuous on interval [a,b] and we have two points f(a) and f(b) then there must be some value c such that f(a)<f(c)<f(b).

So here there must be a c such that

f(0) < f(c) < f(1)

Note: F(c)=0, the questions that the function have a solution between 0 and 1, so that means we must have some value, c such that f(c)=0 that exists

Next, plug in the x values into the function

f(0)  =  - 4

f(1) =  {1}^{3}  + 7(1) - 4 = 4

Since cubic functions are continuous and -4<0<4, then there is a solution c that lies between f(0) and f(1)

3 0
2 years ago
Which of the following fractions is not in simplest form?<br> 6/21<br> 3/14<br> 0 712<br> 10/17
zhuklara [117]
The answer is 6/21 is not in its simplest form as you can still divide them both by 3
8 0
3 years ago
Other questions:
  • Need help with #12 ASAP. What is the equation of a line that is perpendicular to the line y= -1/2x+7 and passes through the poin
    13·1 answer
  • Pls help me^^
    14·2 answers
  • Hi I need help with this question its a picture. Please don't delete either its the best picture I could take I can Read just fi
    12·1 answer
  • <img src="https://tex.z-dn.net/?f=16x%20-%20%288x%20%20%2B%206%29%20%3D90" id="TexFormula1" title="16x - (8x + 6) =90" alt="16x
    12·1 answer
  • Find the derivative of f(x) = 5 divided by x at x = -1. (1 point)
    13·1 answer
  • What is -26×(45) and show work
    11·1 answer
  • 6 yards to 36 yards percent of change
    11·2 answers
  • Which of the following statements are true regarding functions?
    14·1 answer
  • Lisa’s grades on four exams were 80, 92, 86, and 78. What is the lowest grade she can receive on the next exam to have an averag
    6·1 answer
  • two dice are rolled, given that the total showing on the two dice is 7, find the probability that one of the dice shows the numb
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!