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
daser333 [38]
3 years ago
7

Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8. f(x) = −one eighth (x − 2)2 + 6 f(x) = one

eighth (x − 2)2 + 6 f(x) = −one eighth (x + 2)2 + 8 f(x) = one eighth (x + 2)2 + 8
Mathematics
2 answers:
Basile [38]3 years ago
6 0

Answer:  f(x) = −one eighth (x − 2)2 + 6


vfiekz [6]3 years ago
3 0

Answer:

A

Step-by-step explanation:

For any point (x, y ) on the parabola the focus and directrix are equidistant

Using the distance formula

\sqrt{(x-2)^2+(y-4)^2} = | y - 8 |

Squaring both sides gives

(x - 2)² + (y - 4)² = (y - 8)²

(x - 2)² + y² - 8y + 16 = y² - 16y + 64 ( rearrange and simplify )

(x - 2)² = - 8y + 48

8y = - (x - 2)² + 48

y = - \frac{1}{8}(x - 2)² + 6 → A


You might be interested in
A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), a
Cerrena [4.2K]
K · ( 0, 0 ) = ( 0 , 0 )
k · ( 0 , 4 ) = ( 0 , 10 )
k · ( 6, 0 ) = ( 15, 0 )
k = 15/6 = 10/4 = 2.5
Answer: The scale of dilation is 2.5
6 0
3 years ago
Read 2 more answers
How can you subtract similar fraction,dissimilar fraction and mixed number?​
lys-0071 [83]

Step-by-step explanation:

you can with a calculator

but to make it easier all the fraction should be in improper form to make subtraction easier

plsss mark me brainliest

7 0
3 years ago
Read 2 more answers
A stand is a frustum shape, formed by removing a small square-based pyramid from the top of
kupik [55]

The frustum can be considered as consisting of a square pyramid, less the

cut volume.

  • The mass of the stand, is approximately 18.60905 kg

Reasons:

The given parameter of the frustum are;

The density of the frustum, ρ = 85 g/cm³

Height of pyramid, h = 9 cm

Side length of base = 10 cm

Height of frustum

By proportional shapes, the side length of the top of the frustum can be found as follows;

\dfrac{4 \, cm}{9 \, cm} = \dfrac{x}{10 \, cm}

x = \dfrac{4 \, cm}{9 \, cm} \times 10 \, cm = 4\frac{4}{9} \, cm

V = \dfrac{h}{3} \times \left(B_1 + B_2 + \sqrt{B_1 \times B_2} \right)

B₁ = 10², B₂ = \left(4\frac{4}{9} \right)^2

Therefore;

V = \dfrac{4}{3} \times \left(10^2 + \left(4\frac{4}{9}  \right)^2  + \sqrt{10^2 \times  \left(4\frac{4}{9}  \right)^2} \right) \approx 218.93

The volume of the stand, V ≈ 218.93 cm³

Mass = Volume × Density

∴ Mass of the stand, m = 218.93 cm³ × 85 g/cm³ = 18,609.05 grams = 18.60905 kg.

Learn more here:

brainly.com/question/24323975

8 0
3 years ago
Aaron can run 4 miles in 30 minutes. How long does it take him to run one mile
stealth61 [152]

You first divide 30 by 4 to see how long it takes him to run one mile. Then you get 30/4 which simplified is 15/2 minutes

6 0
2 years ago
Read 2 more answers
And employer does not on sales commission for the first $1000 of sales returns 15% sales commission on all sales made there afte
andreyandreev [35.5K]

Answer:

$600 in commission for the week paying 15% on up to $1000 daily

Step-by-step explanation:

To find the sales commission, multiply the percentage 15% as 0.15 against each sales up to $1000.

Monday - 0.15 (800) = $120

Tuesday - 0.15 (600) = $90

Wednesday - 0.15 (1000) = $150

Thursday - 0.15 (800) = $120

Friday - 0.15 (800) = $120

In total that's, $600 in commission.

5 0
3 years ago
Read 2 more answers
Other questions:
  • I don't not understand substation for this problem y=x+6 then y=2x-7
    11·1 answer
  • A rectangle is inscribed under the curve y = 24 – x2 with a portion of the x-axis as its base. What is the area, in square units
    5·1 answer
  • Keith ran in a marathon. itt took him 3 hours and 2 minutes to run 26 miles. If he ran at the same rate for the whole race , how
    10·1 answer
  • Last month, when Joe took his puppy to the veterinarian, the puppy weighed 6.7 pounds. This month, the puppy weighed 9.38 pounds
    11·1 answer
  • If the third term in a geometric sequence is 20, and the fifth term in the
    15·1 answer
  • Susie has 8 pieces of string. 3 pieces are 7.8 inches long, and 5 pieces are 9.2 inches long. How many inches of string does Sus
    11·2 answers
  • Four times the sum of 4 and some number is 40
    15·2 answers
  • Consider the following navigation scenario. A ship on the open ocean is traveling in the direction shown below. On a coordinate
    9·1 answer
  • Which expression is equaivlent to -3 ( y - 4 )
    8·2 answers
  • Aria is trying to build up her savings. Which are the three most helpful questions she should ask herself before making a purcha
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!