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3 years ago

What is the equation of the quadratic graph with a focus of (5, 6) and a directrory of y = 2?

1 answer:

4 0

The vertex of the graph is at (5, (6 + 2)/2) = (5, 4)
The equation of a quadratic graph is given by y - k = 4p(x - h)^2, where (h, k) is the vertex, p is the distance from the vertex to the focus.
Here, (h, k) = (5, 4) and p = 6 - 2 = 2 and since the focus is on top of the directrix, the parabola is facing up and the value of p is positive.
Therefore, the required equation is y - 4 = 4(2)(x - 5)^2
y - 4 = 8(x^2 - 10x + 25)
y - 4 = 8x^2 - 80x + 200
y = 8x^2 - 80x + 204

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H=7+44t-16^2

zalisa [80]

Answer:

When t=2.1753 & t=.5746 , h=27

Don't worry, I got you. Also, my calculator does too.

We set h equal to 27, because we want the height to be 27 when we solve for t.

That leaves us with:

27 = 7 + 44t - 16t^2

Simplify like terms,

20 = 44t - 16t^2

Move 20 onto the right side, so we can use quadratic equation

44t - 16t^2 - 20 = 0 --> -16t^2 + 44t - 20

Using quadratic, you get

t=2.1753 & t=.5746

<u>poster confirmed : "It’s t=2.18 and t=0.57"</u>

3 0

2 years ago

How many ways can Marie choose 2 pizza toppings from a menu of 6 toppings if each topping can only be chosen once?

m_a_m_a [10]

Answer:

30 different ways

Step-by-step explanation:

for the first topping she can choose 1 of 6 items

so she has 6 choices

and then the second topping she has 5 choices as each topping can only be chosen once

so it comes 6 * 5 = 30

5 0

3 years ago

At a local swim club you can purchase an annual membership for 24 dollars which will allow you 1 dollar admission to the pool al

777dan777 [17]

Answer:

6 times

Step-by-step explanation:

Let the number of times you visit the pool = x

At a local swim club you can purchase an annual membership for 24 dollars which will allow you 1 dollar admission to the pool all summer.

= $24 + $1× x

= 24 + x

If you do not purchase the membership the pool admission is 5 dollars.

= 5 × x

= 5x

Hence:

24 + x = 5x

Collect like terms

24 = 5x - x

4x = 24

x = 24/4

x = 6 times

The number of times you must visit the pool with a membership that would equal the cost of paying full price is 6 times.

7 0

3 years ago

Subtract.<br><br> (x + 1) − (−2x − 5)

scZoUnD [109]

3x+6, you have to distribute the negative to get the parentheses away and simplify

5 0

3 years ago

Read 2 more answers

Samantha sends her son, Barry, to a preschool center on certain days. The cost of preschool is $45 per day along with a fixed mo

MAXImum [283]

Answer:

Step-by-step explanation:

We are given fixed monthly charge = $70.

The cost of preschool per day = $45.

Number of days = d.

Total cost of d days = cost per day × number of days + fixed monthly charge.

Therefore, we get equation

880 = 45×d+70

Now, we need to solve the equation for d.

Subtracting 70 from both sides, we get

880-70 = 45d +70-70

810=45d

Dividing both sides by 45, we get

$\frac{810}{45} =\frac{45d}{45}$

18=d.

Therefore,<em> 18 days Barry attended preschool last month.</em>

<em>Therefore, correct option is D option.</em>

4 0

3 years ago