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3 years ago

What is the equation of a parabola with a directrix x = 8 and focus (-8,0)

1 answer:

7 0

From the given information, the parabola is a sideways parabola facing left with vertex at the origin.
Required equation is (y - 0)^2 = 4p(x - 0)
y^2 = 4px

But 0 + p = -8 => p = -8

Therefore, required equation is y^2 = 4(-8)x
y^2 = -32x

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What is 60= 3/4h i am doing BIM (Big ideas math online) i need help plz

crimeas [40]

Answer: h=80 is the final answer. *The answer must be have a positive sign.*

Explanation:

Switch sides of an equation.

3/4h=60

multiply by 4 both sides of an equation.

4*3/4h=60*4

simplify.

3h=240

divide by 3 both sides of an equation.

3h/3=240/3

simplify.

240/3=80

80*3=240

3*80=240

240/80=3

h=80

Hope this helps!

Thanks!

Have a great day!

5 0

3 years ago

Read 2 more answers

What is the number sentence for "1 less than N is the sum of Z and 2"?

s344n2d4d5 [400]

$\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

What is the number sentence for "1 less than n is the sum of z and 2?"

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

❖ First, Notice it says "1 less than n". This expression indicates that

we subtract 1 from n, which looks as follows:-

$\Large\textit{n-1}$

❖ Now, It also says "the sum of z and 2". This indicates that we add z and

2:-

$\Large\textit{z+2}$

❖ Now, Combine these two little expressions into one equation:-

$\implies\sf{n-1=z+2}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{300}{1}$

6 0

2 years ago

Any time Speedy the Sloth is not sleeping, she drinks chamomile tea at a steady rate of 2/7 of a cup per hour. Yesterday, she dr

Nitella [24]

Answer:

She stayed awake for 295 minutes today

Explanation:

We are given that:

Yesterday, she drank one cup

Today, she drank $\frac{17}{42}$ of a cup more than yesterday

This means that:

Number of cups she drank today = $1+\frac{17}{42}=1\frac{17}{42}cups$

Now, we know that she drinks $\frac{2}{7}$ of a cup per hour any time she is not sleeping

We use cross multiplication to get the time she took to drink $1\frac{17}{42}$ cups

1 hour ...........................> $\frac{2}{7}$ of a cup

?? hours ......................> $1\frac{17}{42}$ cups

Time taken = $\frac{1\frac{17}{42}*1 }{\frac{2}{7} } = \frac{59}{12} = 4\frac{11}{12} hours$

This means that she was awake for $4\frac{11}{12}$ hours

Finally, we convert this to minutes:

Knowing that 1 hour has 60 minutes, therefore:

She stayed awake for $4\frac{11}{12} * 60 = 295$ minutes

Hope this helps :)

8 0

4 years ago

Read 2 more answers

A plane has to travel 2,800 miles at an average speed of 560 miles per hour. How many hours will it take to reach its destinatio

Kamila [148]

2800/560 = 5

It will take the plane 5 hours

7 0

3 years ago

Read 2 more answers

2/5 divides by -4/7=? Can I please get a specified answer?

iVinArrow [24]

Answer:

7/10

Step-by-step explanation:

(2/5)%(-4/7)

We will change the second fraction to make multiplication

So it will be 2/5×-7/4

=. -14/20

= -7/10

6 0

3 years ago