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
Ede4ka [16]
3 years ago
11

Find the standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8.

Mathematics
1 answer:
Gala2k [10]3 years ago
5 0
Vertex is directly in middle of directix and focus

distance from 8 to -8 is 16
16/2=8
so 8 below focus (since 8>-8) is the point (0,0
vertex is (0,0)
nice

it opens up because focus is above directix
also it goes up down so
4p(y-k)=(x-h)^2
(h,k) is veretx
we got that (h,k) is (0,0)
and p is distance from vertex to focus which is 8
so
4(8)(y-0)=(x-0)^2
32y=x^2
y=(1/32)x^2
You might be interested in
A turtle crawls 240 yards in 1 hour find the rate in feet per second
Mila [183]
240 yards per hour is 720 feet per hourto convert hours to seconds, divide 720 feet by 3600 seconds per hour to get0.2 feet/foot per secondOR1/5 feet/foot per second
7 0
2 years ago
Mileage tests are conducted for a particular model of automobile. If a 98% confidence interval with a margin of error of 1 mile
Llana [10]

Answer: 37

Step-by-step explanation:

Given : Significance level : \alpha:1-0.98=0.02

Critical value : z_{\alpha/2}=z_{0.01}=2.33

margin of error : E= 1 mile per gallon

Population standard deviation: \sigma=2.6 miles per gallon.

We know that when the population standard deviation is known then the formula to find the sample size is given by  :

n=(\dfrac{z_{\alpha/2}\times \sigma}{E})^2

n=(\dfrac{(2.33)\times 2.6}{1})^2=36.699364\approx37  [Round to the next whole number.]

Hence, the required number of automobiles should be used in the test = 37

7 0
3 years ago
Find a measure of each angle indicated ​
mash [69]

Answer:

127 degrees.

Step-by-step explanation:

These angles are corresponding angles so they have the same measurement.

6 0
2 years ago
Read 2 more answers
pleaseee help context is down below $3 is the entrance fee while $.50 is for each game played that's enough evidence to solve C(
BabaBlast [244]
C= Cost
g= # of times games played

C = 0.50g + 3

C(0) = 0.50(0) + 3
C(0) = 0 + 3
C(0) = 3

This means that no games have been played yet and the entrance fee is $3
5 0
2 years ago
Read 2 more answers
The sets of numbers 7,24,25 and 9,40,41 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or
ololo11 [35]

Answer:

Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

7-24-25

7² + 24² = 25²

49 + 576 = 625

625 = 625

9-40-41

9² + 40² = 41²

81 + 1600 = 1681

1681 = 1681

8 0
2 years ago
Read 2 more answers
Other questions:
  • Ana wants to burn 400 calories at the gym. She burned 120 calories on the bike, then moved to the treadmill. If she burns 8 calo
    14·2 answers
  • Marisol Ghranhola is buying granola bars for snacks at a camp. There are 46 campers and Marisol wants each camper to have at lea
    14·1 answer
  • What is the simplest form of 15 75
    5·1 answer
  • He park trail is 10x^2+4x+2 miles long. The hiker has traveled 5x-1 miles. How much farther does the hiker need to travel to get
    11·1 answer
  • Solve the exponential equation by rewriting the base. explain the steps towards your answer.
    10·2 answers
  • A bolt extends through 5/6” thick plywood, a washer that is 1/16” thick, and a nut that is 3/16” thick. The bolt should be 1/2
    12·1 answer
  • Help! due in a min!<br><br>Find the angle measures for the following:<br>m&lt;1=___ m&lt;4=___​
    11·2 answers
  • Mario spent $5.86 for a drink and a sandwich. His drink cost $1.34. How much did Mario spend on the sandwich. Create and solve a
    5·2 answers
  • -6 + -8 10 points plz help
    15·1 answer
  • How do I solve for AB? (rounded to the nearest tenth)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!