the center is at the origin of a coordinate system and the foci are on the y-axis, then the foci are symmetric about the origin.
The hyperbola focus F1 is 46 feet above the vertex of the parabola and the hyperbola focus F2 is 6 ft above the parabola's vertex. Then the distance F1F2 is 46-6=40 ft.
In terms of hyperbola, F1F2=2c, c=20.
The vertex of the hyperba is 2 ft below focus F1, then in terms of hyperbola c-a=2 and a=c-2=18 ft.
Use formula c^2=a^2+b^2c
2
=a
2
+b
2
to find b:
\begin{gathered} (20)^2=(18)^2+b^2,\\ b^2=400-324=76 \end{gathered}
(20)
2
=(18)
2
+b
2
,
b
2
=400−324=76
.
The branches of hyperbola go in y-direction, so the equation of hyperbola is
\dfrac{y^2}{b^2}- \dfrac{x^2}{a^2}=1
b
2
y
2
−
a
2
x
2
=1 .
Substitute a and b:
\dfrac{y^2}{76}- \dfrac{x^2}{324}=1
76
y
2
−
324
x
2
=1 .
There are flags planted along a forest. There
are blue flags planted every 10 miles and there
are purple flags planted every 20 miles. If the
forest is 300 miles long, how many times will
there be a blue and purple flag in the same
spot?
Answer:
15 times there will be a blue and purple flag in the same spot
Step-by-step explanation:
300 miles / 10 miles = 30 blue flags in total
300 miles / 20 miles = 15 purple flags in total
There will be at least one blue flag for every purple flag. Since there is 15 purple flags in total, there will be 15 times this can occur.
I have attatched a demonstration of my thoughts to this post.
what is 3.98.7 * 29.76+
Answer:
- 7% of 3.98...
... is equivalent to multiplying them:
- 7% × 3.98 ≈ - 0.28
(Rounded to a maximum of 2 decimals)
Step-by-step explanation:
Which of the following completes the formula of cos (a + B) =
A. sin a cos B - cos a sin B
B. sin a cos B + cos a sin B
O C. cos a cos B- sin a sin B
OD. cos a cos B+ sin a sin B
Answer:
cos a cos B-sin a sin B is the right answer
10.) - 3x - y = - 36
4x + 4y = 72
Guys please i need help on this, i will give brainliest to the right answers
i think the answer is 4 hope it helps
What is the slope of the line graphed on the coordinate plane?
A graph with a line running through coordinates (-6, -1) and coordinates (6, 2)
Answer:
1/4
Step-by-step explanation:
use the slope formula, (y2-y1)/(x2-x1) , or rise over run.
this would give you 2-(-1) divided by 6-(-6)
giving you 3/12, reducing to 1/4
13*10-20 im in a hurry
Answer: 110
Step-by-step explanation:
13*10 = 130-20 is 110
The answer: 13 × 10 - 20 = 130 - 20 = 110
OK done. Thank to me :>
PLS HELP ITS A MAJOR GRADE AND DUE TOMORROW
A rental car company charges $55 plus $0.50 per mile to rent a car. Mt. Judd does not want to spend more than
%150 for his rental car. Write and solve an inequality to find how many miles he can drive and not spend more
than $150. Interpret/explain the solution.
Incorrect work/Solution
Identify and Explain Error
m = miles
0.5m < 150
0.5 0.5
m< 30
Mr. Judd can drive at least 50 miles.
Correct Work/ Solution
Share Strategy
Answer:
*See below*
Step-by-step explanation:
Identify and Explain Error
The method shown is using fractions to compare costs. This strategy does not work due to the fact that they have not factored in the $55 he pays for the car before hand. Also, 150 divided by 0.5 does not equal 30, it equals 300 so, even if he did not pay $55 beforehand, the equation is still incorrect.
Correct Work/Solution
$55 to rent
$0.50 per mile
Let's start by removing $55 from $150 to see how many dollars is left over for gas.
150 - 55 = 95
Then, divide 95 by 0.5
95 ÷ 0.5 = 190
He can drive at least 190 miles.
Share Strategy
Since he starts off paying $55 dollars out of $150, we need to subtract $55 by $150 to see how much cash he has left over for mileage. $150 minus $55 equals $95 so, he has $95 left over for mileage. $95 will then be divided by $0.50 to find out how many miles he can drive. We are dividing by $0.50 because that's the cost per mile. $95 divided by $0.50 equals 190 so he can drive at least 190 miles.
Note:
Hope this helps :)
Have a great day!
NEED HELP ASAP! WHOEVER EXPLAINS FIRST GETS BRAINLIEST!!
Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve.
-2/5x-9<9/10
Let f(x) =
=(x^2-16x+39
Divide by X-3
a,if x #3
if x = 3
Answer:
Step-by-step explanation:
x² - 16x + 39 = ( x - 3 )( x - 13 )
[tex]3^{2x+1} -4.9^{x} =-9[/tex]
[tex]Simplify..... \\ \\ \frac{6x ^{4} {y}^{2} \times 4 {x}^{6} {y}^{3} }{12 {x}^{5} {y}^{4} } [/tex]
..............................
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, please feel free to ask in the comment section.
Write 3,408,000 in expanded form.
Answer:
3.408 × 10 ^6
Step-by-step explanation:
2 1/2+x=5 1/3 PLEASE HELP
Answer:
Step-by-step explanation:
2 1/2 + x = 5 1/3 Change the mixed numbers to improper fractions
5/2 + x = 16/3 The lowest common multiple is 6. Multiply by 6
5*3 + 6x = 16*2
15 + 6x = 32 Subtract 15 from both sides.
6x = 32 - 15
6x = 17 Divide by 6
6x/6 = 17/6
x = 2 5/6
Check
5/2 + 17/6 = 16/3
15/6 + 17/6 = 32/6
32/6 = 32/6 The question checks.
PLZ HELP ME WITH MY MATH HOMEWORK!!! SHOW WORK!!!
Answer:
Hope it will help you...
Answer:
Step-by-step explanation:
solve the inequality z + 9 > 6 z > ?
( Equations and Inequalities )
Answer:
You have to switch sides so the answer is x<z+9
Step-by-step explanation:
Please help me in this 4th grader question, i was sick over the weekend
Answer:
[tex] = 825 - 657 \\ = 168answer.[/tex]
Step-by-step explanation:
MARK ME AS A BRAINLIST PLZ
Answer:
825 - 657 = 168This is the answer, hope it helps you!!
Plz HELP ME NOWWWWWWWW
Answer:
x=13
Step-by-step explanation:
(4x-20+x-1)/8 = (3x-9+4x-16)/12
(5x-21)/8=(7x-25)/12
(5x-21)/8 x 12/1 = (5x-21)/2 x 3/1 = (15x -63)/2
15x - 63 = 14x - 50
x=13
What is the opposite of 3.5? Write your answer as a decimal
6-3y+(-7y)+5.6 i really need answers
Answer:
+2 • (25y + 29)/5
Step-by-step explanation:
Pls help is correct ASAP
Use >,<, or = to solve
the inequality below.
4/5 1/2
Answer:
4/5 > 1/2
Step-by-step explanation:
4/5 1/2
\/
4/5 -> 8/10
1/2 -> 5/10
\/
8/10 > 5/10
\/
4/5 > 1/2
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
4/5>1/2
Step-by-step explanation:
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
4/5 = 0.8
1/2 = 0.5
Then, we compare the two decimal numbers to get the answer.
0.8 is greater than 0.5.
Therefore, 4/5 is greater than 1/2
261,256,251,...
Find the 50th term.
Find the 50th term.
Answer: 16
Step-by-step explanation:
For n=1, 1st term = 261 - 5(1-1) = 261 - 5*0 = 261
For n=2, 2nd term = 261 - 5(2-1) = 261 - 5*1 = 256
For n=3, 3rd term = 261 - 5(3-1) = 261 - 5*2 = 251
So, For n=n, nth term = 261 - 5(n-1)
Thus, For n=50, 50th term = 261 - 5(50-1) = 261 - 5*49 = 261 - 245 = 16
At a bowling alley, the cost of shoe rental is $2.75 and the cost per game is $4.75. If f (n) represents the total cost of shoe rental and n games, what is the recursive equation for f (n)?
f (n) = 2.75 + 4.75 + f (n − 1), f (0) = 2.75
f (n) = 4.75 + f (n − 1), f (0) = 2.75
f (n) = 2.75 + 4.75n, n > 0
f (n) = (2.75 + 4.75)n, n > 0
The recursive equation for f(n) will be:
f(n) = 2.75 + 4.75n, n > 0
The cost of the shoe rental = $2.75
The cost of 1 game = $2.75
The cost if n games = 4.75n
The total cost of shoe rental and n games = Cost of the shoe rental + cost of n games
Let the total cost of shoe rental and n games be f(n)
f(n) = 2.75 + 4.75n
Since at least 1 game will be played,
the recursive equation for f(n) will be:
f(n) = 2.75 + 4.75n, n > 0
Learn more on recursive functions here: https://brainly.com/question/11316313
A store is having a clearance sale where all prices are 30% off. The store is located in a county with a 7.5% sales tax. The final price, including sales tax, of any item in the store will be what percent of the original price? Explain your reasoning.
Ans. 450
Solve.
Add 100and you will get the ans
Help me with this ice cream problem lol.
Answer:
A is correct
Step-by-step explanation:
If your money doubles once every 30 minutes and your start with $12, how much money will you have in 1.5 day?
Answer:
$1728
Step-by-step explanation:
1.5 days is 36 hrs
36 hrs is 2160 mins
2160/30 = 72 (this is the amount of times our money will be doubled)
72*2 = 144
$12*144 = $1728
what the words corresponding to the obtained value in the box provide on your answer sheet
[tex] \sqrt{2.5 \sqrt{8} } [/tex]
Answer:
4.47Step-by-step explanation:
Hope it helps to youWrite 110% as a mixed number in simplest form
Answer:
1 1/10
Step-by-step explanation:
110% = 110/100 = 11/10 = 1 1/10
What is the midpoint of the line segment with endpoints (-4, 5)
and (4, 3).
Answer:
(0,4)
Step-by-step explanation:
use midpoint formula
