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2 years ago

X=1/16y^2 the directrix of the parabola is

Mathematics

1 answer:

yan [13]2 years ago

3 0

To solve this problem you must apply the proccedure shown below:

1. You have the following equation of a parabola, given in the problem above:

x=1/16y^2

2. Then, based on the graph attached, you have:

p=y^2/4x
p=8^2/(4)(4)
p=64/16
p=4

3. The directrix is:

directrix=h-p
directrix=0-4
directrix=-4

The answer is:-4

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The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how man

motikmotik

Answer:

$77$

Step-by-step explanation:

The troop wants to sell a minimum of 1,000 boxes, so we're looking for the smallest number of boxes they can sell and still meet the goal. Since there are 13 girls in the troop, take the ceiling (round up to the nearest whole number) of 1,000 divided by 13:

$\left\lceil \frac{1,000}{13}\right\rceil=\boxed{77}$

8 0

2 years ago

Read 2 more answers

A father is now twice as old as his son. If the sum of their ages ten years ago was fifty two, how old are they today?

Oliga [24]

Answer:

24 and 48

Today, the son is 24 years old, and the father is 48 years old.

Step-by-step explanation:

(x - 10) + (2x - 10) = 52

3x + 20 = 52

3x = 72

x = 24

The father is 2 times his son's age.

= 2(24)

= 48

So, the son is 24 and the father is 48.

10 years ago, son was 14 and father was 38, if added, this adds up to 52, so we know our calculations are correct.

3 0

2 years ago

Read 2 more answers

Solve 7x - 8 = 3x + 40

Contact [7]

Answer:

$7x-8=3x+40\\7x-3x=40+8\\4x=48\\x=12$

4 0

2 years ago

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What is the value of x in trapezoid ABCD? x=15 x=20 x=45 x=60

zvonat [6]

Answer:

A. X = 15 is the correct answer.

Step-by-step explanation:

It's the only one that really makes sense.

Hope this helped :)

6 0

2 years ago

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How would I simplify the equation 5u^6x^2+20wx/15x^4

Akimi4 [234]

Answer:

The simplified form is $5u^6x^2+\frac{4w x^{-3}}{3}$

Step-by-step explanation:

To simplify the expression given to use, we need to reduce the given expression in its simplest form. There should not be any possibility for the further cancelling out of the division terms, if any.

Now the expression that is given to us is:

$5u^6x^2+\frac{20wx}{15x^4}\\$

Here we will simplify it, as follows:

$5u^6x^2+\frac{20wx}{15x^4}\\=5u^6x^2+\frac{4w}{3x^3}\\=5u^6x^2+\frac{4w x^{-3}}{3}$

So this is the required simplified form.

3 0

2 years ago