Mathematics High School

Which equation represents a parabola with the focus at (0, -1) and
the directrix y
= 1?
(1) x2 = -8y
(3) x2 = Sy
(2) x2 = - 4y
(4) x2 = 4y

Answers

Answer 1

Answer:

Step-by-step explanation:

The vertex is halfway between focus and directrix, at (0,0).

The equation has the form y = ax².

Focal length p = distance between focus and vertex = 1

p = 1/|4a|

1 = 1/|4a|

|a| = ¼

The focus lies below the vertex, so the parabola opens downwards and a<0.

y = -¼x²

Answer 2

Equation represents a parabola with the focus at (0, -1) and

the directrix y=1 is [tex]x^2=-4y[/tex]

Given :

a parabola with the focus at (0, -1) and the directrix y= 1

The standard equation of parabola is  [tex]y-k=\frac{1}{4p} (x-h)^2[/tex]

Focus is at (0,-1)

The midpoint of focus and directrix is the vertex

Directrix is at y=1

Midpoint of (0,-1)  and y=1 is (0,0)

So the vertex is (0,0) that is our (h,k)

Now we find the value of p

The distance between vertex (0,0)  and focus (0,-1) is the value of p

focus  and vertex are 1 unit away. So p=-1

we got h=0 and k=0 and p=-1

Replace all the value in the standard equation

[tex]y-0=\frac{1}{4(-1)} (x-0)^2\\y=\frac{-1}{4} x^2\\4y=-x^2\\x^2=-4y[/tex]

Equation represents a parabola with the focus at (0, -1) and

the directrix y=1 is [tex]x^2=-4y[/tex]

Learn more : brainly.com/question/12582328

Related Questions

Dianne's profit from selling magazine subscriptions varies directly with the number of subscriptions sold. Dianne made $30 from selling 24 subscriptions. Which equation relates Dianne's profit (y) to the number of subscriptions she sold (x)?

Answers

B) I say this bcz I divided 30 by 24 and got 1.25

Profit=1.25(subscription)  

(If someone else proves this wrong then I am sorry but I am in Middle School and my teacher just taught me this and I got an 100 so if it doesn't help I'm sorry) (I even used all those math calculator and word problem websites)

PLEASE HELP ASAP ITS DUE TODAY!

1) y = -1(5x) and x = 3

a) -125
b) -0.02
c) 8
d) 9

2) y = 0.25 (6x) and x = 2

a) -125
b) -0.02
c) 8
d) 9
e) 162

3) y = -2(0.1x) and x = 2

a) -125
b) -0.02
c) 8
d) 9
e) 162

Answers

1) y=-15
2) y=3
3) y=.4

What is the distance between (-5, 10) and (-5, -1) ? Label your answer with
the word United

Answers

Answer:

d = 9

Step-by-step explanation:

d = [tex]\sqrt{(-5 - 5)^{2} + (10 - 1)^{2} }[/tex]

d = [tex]\sqrt{(0) + (9)^{2} }[/tex]

d = [tex]\sqrt{0 + 81}[/tex]

d = [tex]\sqrt{81}[/tex]

d = 9

20. Write an equation in slope-intercept form for the line that has a slope
of 2/3and y-intercept of (0, – 5).

Answers

Answer:

y = 2/3x -5

Step-by-step explanation:

What relationship do you notice between the squares of
the right triangle?

Answers

Answer:

The special relationship that exists between the squares of the lengths of the sides of a right triangle is known as the Pythagorean Theorem. The Pythagorean Theorem states that the sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.

This is all I know.Hope it helps~Good luck with your work!!~    \^o^/

increase 92 by 35%. need full explanation ​

Answers

Answer:

124.2

Step-by-step explanation:

increase 92 by 35% would be to multiply 92 by 135%

92(135%)=92(1.35)=124.2

when do get to message people privately??
(can someone please tell me)
​

Answers

Answer:

You have to answer 1,000 questions i think

Step-by-step explanation:

please i give (brainlist) if you complete it and correct answers​

Answers

5 x (4 x 3) = (5 x 4) x 3

7 x (3 x 6) = (7 x 3) x 6

(30 x 5) x 12 = (30 x 12) x 5

first half

Help, I have to turn this in soon

Answers

Answer:

b

Step-by-step explanation:

i got a 100 on it yesterdy

Answer:

A - Congruent segments

B - Perpendicular bisector

C - Angle Bisector

D - Congruent angles

combine the following fractions and express in fully reduced form.
x/5+4/3

Answers

Answer:

3x+20/15

Step-by-step explanation:

How is the slope related to a unit rate?

Answers

Slope is related to unit rate because it shows how far something is going/moving in a specific period of time

The unit rate, which is a constant between the ratio of two numbers that vary concurrently, can also be used to refer to the slope. Slope follows the same rule.

How is the slope related to a unit rate?

As long as the rise/run along the line remains constant, the slope between any two places on a straight line will always be the same.

A linear relationship grows or shrinks at a constant rate of change, similar to a proportional relationship. This is known as the constant of proportionality in a relationship. It can also be referred to as the slope or unit rate in a linear connection. The slope of a line said to be its steepness.

Like the proportionality constant, the slope shows how quickly an amount is rising or falling. The only difference between the slope and the constant of proportionality is that the relationship need not begin at 0. Mathematicians frequently substitute the term slope or unit rate for the proportionality constant.

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PLS HELP AAAH I NEED THIS ASAP GIVING BRAINLEST TO CORRECT ANSWER!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

They rise upward and to the right, i.e., the both have positive slopes.

They both start from the origin, i.e., their y-intercepts are zero.

Help first gets brainly

Answers

Answer:

1. 100        1. 150           1. 1

2.45          2. 800

Step-by-step explanation:

1. 25% * 400 = 0.25 * 400 = [tex]\frac{1}{4}[/tex] * 400 = 100

2. 50% * 90 = 45

1. 75% * 200 = 0.75 * 200 = 3/4 * 200 = 150

2. 10% * 8000 = 0.1 * 8000 = 800

1. 5% * 20 = 0.05 * 20 = 1

Rearrange the formula to make a the subject.

Please help.

Answers

Answer:

[tex]a = \frac{5b+w-2}{15}[/tex]

Step-by-step explanation:

[tex]w=5(3a-b)+2\\w-2 =5(3a-b)\\w-2 = 15a - 5b\\w-2+5b = 15a \\5b+w-2= 15a\\a = \frac{5b+w-2}{15}[/tex]

I need help solving this.
Thank you too those who respond

Answers

Answer:

Its D on edge because yes im 100% right

Darren and his 2 sisters want to equally share 17 tokens at an arcade. How many tokens will each of them get

Answers

Answer:

6

Step-by-step explanation:

3 divided by 17 there will be 1 left over

which pairs of expressions below are equivalent . ?​

Answers

Answer:

It should be the second option

Step-by-step explanation:

I hope this helps you

A graph shows day labeled 2 to 10 on the horizontal axis and miles on the vertical axis. A line decreases from 1 to 2, increases from 2 to 3, decreases from 3 to 5, increases from 5 to 8, decreases from 8 to 9, and increases from 9 to 10.
The scatterplot shows how many miles Marissa jogged over 10 days. Which statements are true? Check all that apply.

Marissa jogged 5 miles on the first day.
Marissa jogged 6 miles on the second day.
Marissa jogged 9 miles on the third day.
Marissa jogged 3 miles on the fourth day.
Marissa jogged 3 miles on the ninth day.

Answers

Answer:

A. Marissa jogged 5 miles on the first day.

D. Marissa jogged 3 miles on the fourth day.

E. Marissa jogged 3 miles on the ninth day.

Step-by-step explanation:

Edge 2021

Marissa jogged 5 miles on the first day, Marissa jogged 3 miles on the fourth day and Marissa jogged 3 miles on the ninth day are true statements.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

In this we have to observe the graph and say which alternatives are correct, so we have:

The alternatives A,D and E

then looking at the graph, we can see that the following facts are indicated:

Marisa jogged 5 miles on the first day.

Marisa jogged 3 miles on the second day.

Marisa jogged 4 miles on the third day.

Marisa jogged 3 miles on the fourth day.

Marisa jogged 3 miles on the ninth day.

Hence, Marissa jogged 5 miles on the first day, Marissa jogged 3 miles on the fourth day and Marissa jogged 3 miles on the ninth day are true statements.

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Twice a number added to a smaller number is 5. The difference of 5 times the smaller number and the larger number is 3.

Answers

So if 2x+y =5. And 5y-3=x, you can solve for x in the second equation for 5y-3=x. Then substitute that into the first equation and solve for y and you’ll get y=1. Use that to find x. The answer is the smaller number is 1 and the larger number is 2.

Select the correct answer.
Which statement about a histogram is true?
A.
Histograms can plot both positive and negative values on both axes.
B.
Histograms can be used to exhibit the shape of distributions.
C.
Histograms are plots of individual data values.
D.
Histograms show the division of quartile regions for a distribution.

Answers

Answer:

answers B

Step-by-step explanation:

Is (2, 4) a solution of 2x – 7y < -10?
Choose 1 answer:
A
Yes
B
No

Answers

Answer: NO DEFINITLY NOT

Step-by-step explanation:

2,4 is on a COORDINATE PLANE not an equation plz mark me brainliest

Answer:

yes

2(2)-7(4)= -24

-24<-10

Determine the equation of the circle graphed below.

Answers

Answer:
(-1,3)
Explanation:
Just-an educated-guess

I have to turn this in tonight please help :(

Answers

Answer:

angle a is 116 degrees

Step-by-step explanation:

ok so first we have to make everything equal to 180 because every triangle is 180 degrees so it would be written like this:

(14x + 4) + (5x - 1) + (2x + 9) = 180

Then, we solve for x and x equals 8

After this we plug 8 back into the angle so it would be written like this:

14(8) + 4

This equals 116 degrees.

Answer:

116

Step-by-step explanation:

21x + 12 = 180

-12 -12

21x = 168

÷21 = ÷21

x = 8

14 x 8 + 4

112 +4

116

12) 44°
acute
obtuse
right
straight

Answers

Acuse because and acuse angle is under 90 degrees and obtuse is not

Answer:

Acute

Step-by-step explanation:

Anything bellow 90 degree is acute

Anything above 90 degree is obtuse (except 180)

A right is just 90 degrees

and straight is just 180 degrees

What is the value of x in the solution of the following system of equations: 3x + 2y = 12 and 5x - 2y = 4 ?

Answers

Answer:B

Step-by-step explanation:

Answer: x=  4  −  2 y /3

Step-by-step explanation:

what is the oppiste of 9

Answers

Answer:

6 probably lol

9=6

6=9

hehehe

Hunter and his children went into a movie theater and will buy bags of popcorn and drinks. Each bag of popcorn costs $5.50 and each drink costs $6. Hunter has a total of $80 to spend on bags of popcorn and drinks. Write an inequality that would represent the possible values for the number of bags of popcorn purchased, bb, and the number of drinks purchased, d.d.

Answers

Answer:

......

Step-by-step explanation:

.......

Answer:

5.50b+6d≤80

Step-by-step explanation:

One bag of popcorn costs $5.50, so bb bags of popcorn cost 5.50b.5.50b. One drink costs $6, so dd drinks cost 6d.6d. The total 5.50b+6d5.50b+6d must be less than or equal to \$80:$80

Classify the types of triangles in the following figure based on their sides:
a) ABC, AB = BC = 5 cm, CA = 3 cm
b) PQR, PQ = 4cm, QR = 5 cm, PR = 3 cm
c) MNP, MN = NP = PM = 7 cm

Answers

Answer: a) isosceles triangle

b) scalene triangle

c) equilateral triangle

A box filled with many different color crayons there are 40 white crayons 24 green crayons 12 red crayons 24 golden crayons and 20 blue crayons if you have to select a crayon without looking into the box what is the probability that you will pick a white or blue crayon do you guys now the answer

Answers

Answer: The answer is 50%

Step-by-step explanation: You have to add up all of the values to get the total number of crayons. Then after, you have to divide the amount of blue and white crayons by the total amount of crayons.

Please help me with this problem

Answers

Answer:

i cant see the pic please send a better one and i reloaded it and it still does not work

Step-by-step explanation:

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