All categories

4 years ago

Write the equation in standard form for the parabola with vertex (0,0) and directrix y=-6

1 answer:

7 0

This is a parabola which has vertex at the origin and opens upwards.

general form is x^2 = 4ay where a is the focus

the focus is the same distance from the vertex as the directrix So it is at the point (0, 6)

required equation is x^2 = 4*6 y

or y = (1/24) x^2

You might be interested in

How many people have a membership?

Ymorist [56]

Answer:

38 people have a membership.

Step-by-step explanation:

That's because the bottom row shows how many years they've had the membership.

And the y axis shows how many people or the frequency of people having the membership for that amount of years.

So its a bar graph that shows you how many of the members have had the membership for a set amount of years.

So all you have to do is add up each column,

0-2 years = 6 people

2-4 years = 8 people

4-6 years = 10 people

6-8 years = 8 people

8-10 years = 6 people

6 + 8 + 10 + 8 + 6 = 38

6 0

3 years ago

I need help with both of them please!( Sample questions 13 and 14)

zaharov [31]

$First~exercise! \\ We~ have `there ~some~ triangles.(2) \\ 1)~In~ a ~triangle~,the~degree~of~all~angles~is~180! \\ We~have~2~angles~known,so: \\ 180=x+45+56 \\ 180=101+x \\ x=79 \\ \\ Second~triangle! \\ We~have~to~find~2~angles! \\ An ~elongated`~angle~have~180~degrees! \\ 180=79+50+y \\ y=51. \\ In~the~second~triangle~,we~have~to~find~the`third~angle. \\ We~have~a~right~angle,so--\ \textgreater \ 90~degrees! \\ 180=90+51+z \\ z=39! \\ We~found~all~the~angles!(We~are`happy~now!!!~:))) \\ Second~exercise! \\ With~the~Pythagoras' Theorem,we~can~find~the~diagonal~in~this~ \\ rectangle! \\ c ^{2} =10 ^{2} +14 ^{2} \\ c ^{2} =100+196 \\ c= \sqrt{296} \\ c=17,20...$

8 0

4 years ago

Canalave Town has been experiencing a population decline of 10% every year. The current population is 74,000 people. Assuming th

Anastasy [175]

Answer:

74000-10%x

Step-by-step explanation:

8 0

4 years ago

Find the measure of

koban [17]

Answer:

m∡GHI = 21°

Step-by-step explanation:

Since the lines are intersecting, GHI and JHK are opposite angles, so they are the same measure.

That means you can set them equal to each other

x + 7 = 3x - 21

x = 14

Now plug x into GHI

14 + 7 = 21

m∡GHI = 21°

7 0

4 years ago

Simplify 3/4(3x+6)-1/4(5x-24)

Dahasolnce [82]

Distribute
Combine like terms
x+21/2

6 0

4 years ago