Write the equation of the parabola with a focus (1,2) and directrix y = 1

Answers

Answer 1

Answer: since the y shifted and focus is above directix, parabola opens up
4P(y-k)=(x-h)^2
distance from focus to veretx=distance from vertex to directix=P

from focus to directix is
from 2 to 1 which is 1 distance
1/2=P since 1/2of 1=1/2
4(1/2)(y-k)=(x-h)^2
vertexis 1 higher than directix so add 1/2 to 1 to get 1.5
vertex=(1,1.5)
vertex=(h,k)

equation is
4(1/2)(y-1.5)=(x-1)^2
if you want vertex form
2(y-1.5)=(x-1)^2
divide 2
y-1.5=(1/2)(x-1)^2
add 1.5
y= $(1/2)(x-1)^(2)+1.5$

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Adam can shovel a driveway in two hours. Bev can shovel the same driveway in three hours. How long would it take them working together

Answers

Answer:

1.2 hours

Step-by-step explanation:

Given the following :

Time taken by Adam to shovel driveway = 2 hours

Time taken by BEV to shovel highway = 3 hours

How long will it take them working together

Hence Adam's rate of shoveling per hour :

Reciprocal of time taken = 1/2 per hour

BEV's rate will also be ;

1/ 3 per hour

If both work together ; that is combining the rate :

1/2 + 1/3 = (3 + 2) = 5/6

Combined rate = 5/6

Total fraction of shoveled area = 1:

Time taken = area / rate

= 1 ÷ (5/6)

= 1 × (6 / 5)

= 6/5

= 1 1/5 hours = 1.2 hours

What's A(-2,-4),B(2,4)

Answers

AB = $\sqrt{( 2 + 2 ) ^(2) + (4 + 4)^(2) } = √(16 + 256) = √(272) = 16.49$

Is 5 a solution for 3x + 4 = 19

Answers

Answer:

yesssssss!!!

Step-by-step explanation:

The data in which table represents a linear function that has a slope of zero?

Answers

Answer:

the first option

Step-by-step explanation:

if you were to plot those points they make a straight horizontal line

Answer:

The first one.

Step-by-step explanation:

(x,y)

(-5,5)

(-4,5)

(-3,5)

(-2,5)

(-1,5)

y is the same for all the x's which will give you a horizontal line. Horizontal lines have a slope of 0.

A hyperbola is the set of all points in a plane such that the absolute value of the difference of the distances from two fixed points, called the foci, is constant.Please select the best answer from the choices provided

A. True
B. False

Answers

The answer is true, by definition, its true.

Answer:

A. True

Step-by-step explanation:

Got it right on edge

Complete the equation of the line through (4,-8)(4,−8)left parenthesis, 4, comma, minus, 8, right parenthesis and (8,5)(8,5)left parenthesis, 8, comma, 5, right parenthesis. Use exact numbers. y=y=y, equals