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stira [4]
3 years ago
14

John is digging a rectangular hole. The area of the rectangle is 8 square feet. John digs 4 feet down into the ground. What's th

e volume of John's hole in cubic feet?​
Mathematics
1 answer:
andreev551 [17]3 years ago
3 0

Answer:

32

Step-by-step explanation:

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What is the equation of the quadratic graph with a focus of (1 ,3) and a directrix of y=1?
zimovet [89]
Check the picture below.

now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.

the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.

the distance "p", from the vertex to either the directrix or focus, is really just 1 unit.  Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
4p(x- h)=(y- k)^2
\\\\
\boxed{4p(y- k)=(x- h)^2}
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ( h, k)\\\\
 p=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
h=1\\
k=2\\
p=1
\end{cases}\implies 4(1)(y-2)=(x-1)^2\implies 4(y-2)=(x-1)^2
\\\\\\
y-2=\cfrac{1}{4}(x-1)^2\implies y=\cfrac{1}{4}(x-1)^2+2

4 0
3 years ago
I reealllyyyy need helpp isss quizz
vova2212 [387]

Answer:

6

Step-by-step explanation:

i cant see the number correctly but the number on the top of the 7 is the answer

4 0
3 years ago
Read 2 more answers
Another way to check the sum of 104+34+228+877
vekshin1
We are asked to identify an another way to solve the given problem or this summation 104 + 34 + 228 + 887. We can verify it by doing of performing the summation in a reverse sequence such 877 comes first, then followed by 228, then followed by 34 and lastly added by 104. Therefore, the answer is 877 + 228 + 34 + 104.This is an another way to solve the given problem.
4 0
2 years ago
What is the constant of proportionality in the equation 3y=2x
Inessa05 [86]

Answer:

2/3

Step-by-step explanation:

3y = 2x

Divide each side by 3

3y/3 = 2x/3

y = 2/3 x

The  direct variation relationship is

y = kx

In this case k = 2/3

4 0
2 years ago
Read 2 more answers
After one day, 1000 copies of a CD are sold. Each of the following days, 100 more copies are sold,
lawyer [7]

Answer:

Equation:

y - 1000 = 100(x - 1)

2900 CDs will be sold after 20 days.

Step-by-step explanation:

See image.

6 0
2 years ago
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