Answer:
The answer is below
Step-by-step explanation:
A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.
The equation of a parabola with a horizontal line as directrix is given by:
(x - h)² = 4p(y - k)
where y = k - p is the directrix and the focus = (h, k + p)
Given that parabola has a directrix at y = 2 and a focus at (5, 0)
Therefore:
y = k - p
k - p = 2 (1)
focus = (h, k + p) = (5, 0)
h = 5, k + p = 0
k + p = 0 (2)
Solve equation 1 and 2 simultaneously by adding both equations together:
2k = 2
k = 1
Substitute k = 1 in k + p = 0 to find p:
1 + p = 0
p = -1
Therefore h = 5, p = -1 and k = 1
Substitute the values of h, k and p into the equation of a parabola:
(x - h)² = 4p(y - k)
(x - 5)² = 4(-1)(y - 1)
(x - 5)² = -4(y - 1)
x² - 10x + 25 = -4y + 4
-4y = x² - 10x + 21
4y = 10x - x² - 21
how to find the surface area of a triangular prism
Answer:
Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.
Step-by-step explanation:
At a Chinese buffet, there are five
entree selections. If two entrees may be
selected, how many ways may the
plates be filled?
Answer:
I know I'm a little late, but there are 10 different ways the plate can be filled.
Step-by-step explanation:
Formula:
21 of an ice cream company's flavors contain nuts.
How many total flavors does the company make if
30% of them contain nuts?
PLEASE HELP ME! :(
Answer:
The company has 70 falvors
3x + 16 = 136
(3 seconds per item, plus 16 seconds to process payment, equals 136 seconds total.)
Subtract 16 from each side. Then divide both sides by 3.
Answer:
x = 40
Step-by-step explanation:
Rose was tracking the movements of a rabbit and plots the movements of the rabbit on this graph.
Calculate the fastest speed that Rose observes the rabbit move.
Answer:
2.25 m/sStep-by-step explanation:
Looking at the graph, we observe that the interval CD is when the speed was the fastest
Let's calculate this, use points C(4,3), D(12,12)
(12 - 3)/(12 - 8) = 9/4 = 2.25 m/sLouis wants to carpet the rectangular floor of his basement. The basement has an area of 2,000 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement?
Answer: 50 feet
Step-by-step explanation:
Let the length be represented by x
The width of the basement is 4/5 its length. Therefore, the width is 4/5x = 0.8x
Area = Length × Breadth
2000 = x × 0.8x
0.8x² = 2000
x² = 2000/0.8
x = ✓2500
x = 50
Therefore, the length is 50feet
answer my other question hshkdhrjklw
Answer:
hfhedcvgfhsla
Step-by-step explanation:
al you have to do is laugh
Answer:
Cual es tu otra pregunta?
Step-by-step explanation:
can someone please help me? it would mean so much to me. thanks a lot!
Answer:
Maybe -3
Step-by-step explanation:
I am not 100% sure but it is better than nothing,
since 3+3=6 I think after 3 is 6, and after 6 is 9. I think that because the more right the line goes you add 3 to every move. So therefore, 3-3=0, and 0-3= -3
Hope this helps. Also, I hope I gave you the correct answer.
Complete the following table for the equation y = 2x + 5
Table: 0. 1. 2. 5. 7.
Pls help im in the middle of a test
Answer:
0 is 5
1 is 7
2 is 9
5 is 15
7 is 19
for all positive values of x the value of ^log x ^x is always __ and the value of ^log x ^1 is always__
Answer: 1, 0
Step-by-step explanation: Logarithm base x of x is 1 and Logarithm base x of 1 is 0.
The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .
What is a Logarithm base?It is the function where the log , base a of the x. It shows the inverse of the exponential function so here the exponential form be used.
So we can conclude that The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .
Hence, the above answers are correct.
Learn more about values here: https://brainly.com/question/20347857
I need to know the answer step by step.
Answer:
108
Step-by-step explanation:
Since B=3, you need to do 4(3)^2*3
Do 3^2, which is 9,
4*9=36,
36*3=108
Find the scale factor
Answer:
36/x =48/24
36/x =2
2x= 36
x= 36/2
x=18
Rewrite in slope-intercept form.
10x + 2y = 8
Enter your answer in the form y=mx+c
Simplify your answer if possible using integers or simplified fractions. Example: y=3/4x-2
10x+2y=8
Answer:
y = -5x + 4
Step-by-step explanation:
Solve for y
10x + 2y = 8
2y = -10x + 8
y = (-10x)/2 + 8/2
y = -5x + 4
Steve’s IQ increases by 0.25% each
day that he attends his algebra class.
After the first day of class, he has
an IQ of 90. What will it be after
attending all 180 classes this year?
Answer:
141
Step-by-step explanation:
because i have the answer key
state if polygons are similar
Answer:
yea its is
Step-by-step explanation:
Plsssssss help meeeeeeeeeeeee I need help
Answer:
honestly I think its QT
Step-by-step explanation:
hope it helps
how do you figure out what the y=mx+b of a equation
Answer:
y is your answer
m is your rise/run
x is there for x
and b is your negative or positive y-intercept
Step-by-step explanation:
What is 123x264 answer fast
Answer:
theres something call a calculator but anyways lol the answer is 32472
Answer:
32,472 is the correct answer
2y - x = -8
Put it in line slope-intercept simplifying all fractions
What is the square root of X with an exponent of 7?
Answer:
[tex] {x}^{3} \sqrt{x} [/tex]
Step-by-step explanation:
hope it helps ☺️
suggestions : Photomath application
it will be explained you about how to find solutions.
EASY ALGEBRA! HELP PLEASEEE <3
Fill in the blank with a number to make the expression a perfect square.
v²-14v+__
(fill in where the underscore is)
I know the answer is 49, But please just work out the problem!!
what is (4x - 4) + (2x + 2)? (no direct answer.)
Answer:
6x -2
Step-by-step explanation:
(4x - 4) + (2x + 2)
4x + 2x = 6x
-4 + 2 = 2
6x - 2
A pizza shop can put together 4 pizzas in 12 minutes. What is their production rate in pizzas per hour?
Answer:
I think it'd be 20 pizzas an hour
Step-by-step explanation:
What’s the slope of (9,6)
(1,4)
y= (1, 4) times x + (15, 4)
The Answer is:
8/2=4
you can draw a graph but you can just do (9-1)/(6-4) which equals to 8/4 which can be 4
Find the slope of the line from a graph. Will give brainliest!!!
Answer:
2/1 or 2
Step-by-step explanation:
to find the slope you have to calculate the rise over run, do this by picking two spots on the line that go thourgh the corner of a square. then count the amount up the is your rise then the lateral movement, the is your run.
this means the answer is 2/1 that can be simplified to 2.
Write a quadratic function to model the graph. Please help!!
Answer:
80 because that you need to work on
Writing Equations of Lines
Answer:
Please leave more information.
Step-by-step explanation:
Which equation represents exponential decay?
O A y = 100(31)
O B. y = 1 (3.1)
C. y = 10(0.13)
D. y = 100(1.03)
Answer:
The function y = 10(0.13)ˣ represents exponential decay.
Hence, option C is the correct function.
Step-by-step explanation:
We know that an exponential function is of the form
y = abˣ
where 0 < b < 1
Please note that an exponential function cannot have a base of 0, 1, or a negative value.
Now, if we carefully observe, the function y = 10(0.13)ˣ is the only option correct as
here 0 < b < 1 and a > 0
Therefore, the function y = 10(0.13)ˣ represents exponential decay.
Hence, option C is the correct function.
jan takes her dog for a walk.
she leaves her house at 11:40am and returns at 12:17pm.
how long did the walk take?
Answer:
37 minutes. :))
Step-by-step explanation:
Which represents the decimal 0.071
A. 71 tenths
B. 71 hundredths
C. 71 thousandths
D. 71 Ten thousandths
Answer:
c 71 thousandths
Step-by-step explanation:
