Answer:
Step-by-step explanation:
focus distance=9
a=2 f²=a²+b² ==> b²=9²-2²=77 ==> b=√77
[tex]\dfrac{(x-0)^2}{2^2}- \dfrac{(y-0)^2}{77}=1\\\\\\\boxed{\dfrac{x^2}{4}- \dfrac{y^2}{77}=1}\\[/tex]
Equation of hyperbola is [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].
What is hyperbola?Hyperbola is defined as an open curve having two branches which are mirror images to each other.
A plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant : a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone.
Given
Foci: (-9, 0) and (9, 0)
Foci: (±9, 0)
Vertices: (-2,0) and (2,0)
Vertices: (±2, 0)
So, a = ±2, c = ±9
Now [tex]c^{2} =a^{2} +b^{2}[/tex]
[tex]b^{2} =c^{2} -a^{2}[/tex]
[tex]b^{2} =9^{2} -2^{2}[/tex]
[tex]b^{2} =81-4[/tex]
[tex]b^{2} =77[/tex]
Equation of hyperbola is
[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]
⇒ [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex]
Hence, equation of hyperbola is [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].
Find out more information about hyperbola here
https://brainly.com/question/27799190
#SPJ2
question 17 i need help answer is -16 but don’t know how
Answer:
-16
Step-by-step explanation:
-k² -(3k-5n)+4n k=-1 , n= -2
= -(-1)² - ( 3(-1) -5(-2) )+4(-2)
= -1-(-3+10)-8
= -1-(7)-8
= -1-7-8
= -16
simplify the following ；giving your answers in index form
Answer:
[tex] \frac{ {6}^{10} }{ {6}^{3} } \\ = \frac{ {6}^{3} \times {6}^{7} }{ {6}^{3} } \\ = {6}^{7} \\ thank \: you[/tex]
geometry #1 please will give brainliest
Step-by-step explanation:
If two lines, segments, or rays intersect at right angles, then they are perpendicular. If two angles are complementary, then their measures add up to 90 degrees. If two angles' measures add up to 90 degrees, then they are complementary. If two angles are supplementary, then their measures add up to 180 degrees.
The hole for a support needs to be 5 feet deep. It is currently 1 foot 8
inches deep. How much deeper must the hole be? Use the conversion
factor 12 inches = 1 foot.
Answer:
60
12 inches=1 foot so 12 ×5=60
Answer:
60
Step-by-step explanation:
lol
help me please urgent
Answer:
3+ x • {2x} + 5 = 858
Step-by-step explanation:
<33 hoped this helped !!!
Describe how to use a random number generator to simulate the following performances
a) A basketball player has the ability to make 40% of his shots and takes 25 shots in one game.
b) A basketball player has the ability to make 75.2% of her free throw shots and she takes 8 free throws in a game.
Answer:
random number generators return numbers from 0 to 1...
a) generate 25 random numbers if the number x is ≤ .4 he makes the shot
otherwise he misses
a) generate 8 random numbers if the number x is ≤ .752 she makes the shot otherwise it is a miss
otherwise he misses
Step-by-step explanation:
IF(x)=3x+7, Find the image of 5
Answer:
f(5) = 22
Step-by-step explanation:
Substitute x = 5 into f(x) for image , that is
f(5) = 3(5) + 7 = 15 + 7 = 22
convert 5476 to base seven
Assuming 5476 is given in base 10.
We have
5476 = 2×2401 + 674 = 2×7⁴ + 674
674 = 1×343 + 331 = 1×7³ + 331
331 = 6×49 + 37 = 6×7² + 37
37 = 5×7 + 2 = 5×7¹ + 2
2 = 2×1 = 2×7⁰
so that
5476₁₀ = 21652₇
To divide 5472 by 81 using the shortened form of the division algorithm, what should be your first thought? Select from the drop-down menus to correctly complete the thought. "How many times does 81 divides into Choose... ?"
5
54
547
5472
Answer:
"How many times does 81 divide into 547?"
How many pumps will it take to fill the giant soccer ball.
c = 8 π a b will give brainliest and 30 points
Answer:
2nd option
Step-by-step explanation:
Given
c = 8πab ( isolate a by dividing both sides by 8πb
[tex]\frac{c}{8\pi b}[/tex] = a
I tried it many time but not got the correct answer , anyone could plz help me
Aayush got Rs1881 intrest of certain sum for 2 year at 9% compounded yearly . find the sum.
Answer:
C.I=P(1+r/100)^n-1
1881=p(109/100)^2-1
1881=p(11881-10000/10000)
1881=p×1881/10000
1881/1881×10000=p
P=10,000
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP
Answer:
please help me my friend
Find the mean, median, mode, and range of the data set.
9, 3, 15, 7, 2, 4, 3
If necessary, round your answers to the nearest tenth.
Answer:
Step-by-step explanation:
Mean = Sum of data ÷ number of data set
[tex]=\dfrac{9+3+15+7+2+4+3}{7}\\\\=\dfrac{43}{7}\\\\= 6.14\\\\= 6.1[/tex]
Median:
Arrange the data in ascending order:
2 , 3 , 3 , 4 , 7 , 9 , 15
Middle term is the median of the data set
Median = 4th term = 4
Mode:
Mode is the data whose is frequency is more.
So, mode = 3
Range = Maximum - minimum
= 15 - 2
= 13
find the exact value without a calculator cos π\8= cos π/4/2
Answer:
Step-by-step explanation:
1+cos 2a=2cos^2a
cos a=√[(1+cos 2a)/2]
[tex]put~a=\frac{\pi }{8} \\2a=\frac{\pi }{4} \\\\cos\frac{\pi }{8} =\sqrt{\frac{1+cos \frac{\pi }{4} }{2} } \\=\sqrt{\frac{1+\frac{\sqrt{2}}{2} }{2} }\\=\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]
3(y+2)-5=22
Solution of the equation?
Answer:
[tex]3(y + 2) - 5 = 22 \\ 3(y + 2) = 27 \\ (y + 2) = 9 \\ y = 9 - 2 \\ y = 7[/tex]
Answer: 7
Step-by-step explanation:
3y+6-5=22
3y+1=22
3y=22-1
y=21/3
y=7
i need help on this problem:(
Answer:
see image
Step-by-step explanation:
Which of the following is the equation for the line of symmetry in this figure?
What is the square root of 1 to the second power
Answer:
1
Step-by-step explanation:
The second power and square root cancel each other (second power means squared by the way)
give an example of a true statement that has a false converse?
it’s for geometry math.
There are many examples you could go with, but one is "If a shape is a square, then it is always a rectangle".
The converse has us flip the statement into "If a shape is a rectangle, then it is always a square" which is not true. Some rectangles aren't squares.
------------------------
Another example could be "If it is a dog, then it is an animal" which is always true. The flip of it is "If it's an animal, then its a dog" which is false because the animal could be a cat for instance.
Find the exact solution of -x^2+3x+7=0 by using the Quadratic Formula?
Help!!! Please i need helppppoo
Hey there! I'm happy to help!
Our goal here is to write the function (equation) that represents what Carlos has graphed. This is a line, so we can use the slope-intercept equation to represent it.
Our slope-intercept equation is y=mx+b, where m is the slope and b is the y-intercept.
If we look at the graph, we see that the the line intersects the y-axis at the point (0,0), also known as the origin, so our y-intercept is 0.
To find our slope, we need to first find two points on the line. Well, we already have (0,0). The next point on the line that seems to have integers is (7,5). This means that from (0,0) our rise is 5 and our run is 7, and since slope is rise over run, that means that our slope is 5/7 (for every one unit we go over, the line goes up 5/7).
Now, we just throw these numbers into the equation.
y=5/7x
or
f(x)=5/7x (if it needs to be in that function format)
Have a wonderful day and keep on learning! :D
22) solve for x
A) 7
B) -9
C) -10
D) 10
B
Step-by-step explanation:
AM on total = 1/2
so (x+19)/(x+29)=1/2
2x +38 =x + 29
x=-9
Combine the like terms to create an equivalent expression for −5j+(−2j)+3
Answer:
-7j + 3
Step-by-step explanation:
Combine like terms:
-5j + (-2j) = -7j
-7j + 3
Answer and Step-by-step explanation:
Simply combine the values together.
-5j - 2j + 3
-7j + 3 is the answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Please help!!!!!!!!!!!
Answer:
y is larger.
Step-by-step explanation:
Along the same vertical line, 2 points have the same x value. So x=2 and y=4.
Consider the points (5,0) and (0,3). Plot the points and find the distance between them. Give your answer both in exact form and as a decimal approximation.
Answer:
(5;3)
Step-by-step explanation:
Give your answer both.
The distance between the points (5, 0) and (0, 3) is approximately 5.83095 units.
To find the distance between two points, we can use the distance formula:
Distance = √[tex]((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]
Given the points (5, 0) and (0, 3), we have:
[tex]x_1 = 5, y_1 = 0\\\\x_2 = 0, y_2 = 3[/tex]
Substituting these values into the formula:
Distance = √[tex]((0 - 5)^2 + (3 - 0)^2)[/tex]
Distance = √[tex]((-5)^2 + (3)^2)[/tex]
Distance = √(25 + 9)
Distance = √34
The exact distance between the points is √34, which is approximately 5.83095 when rounded to five decimal places.
So, the distance between the points is approximately 5.83095 units.
To know more about distance, refer here:
https://brainly.com/question/24485622
#SPJ3
50 m + 4 % please help
Answer:
52 meters
Step-by-step explanation:
each percent is 1, so 50m plus 4 percent equals 52
There are 20 identical solid hemispheres. The curved surface and the flat surface of each hemisphereare are to be painted red and yellow respectively. Find the ratio of the amount of red paint needed to the amount of yellow paint needed.
Answer:
2:1.
Step-by-step explanation:
The area of a red curved surface = 2πr^2.
The area of the yellow flat surface = πr^2.
This is the case for all the hemispheres.
Therefore the required ratio = 2πr^2 : πr^2
= 2:1.
300 divided by 6 times to the 2nd power divided by 3.14, i need help.
Answer:
Step-by-step explanation:
300÷6x²÷3.14=2.6539278131634819533
−1/3−(−1/2)
3 1/3 - 5
−1 4/5−(−2 7/8)
−3 3/8−7/8
4 3/4−(−1 1/12)
I WILL GIVE YOU 20 POINTES IF YOU FINISH THIS BY THE END OF THE DAY
Hi ;-)
[tex]-\frac{1}{3}-(-\frac{1}{2})=-\frac{1}{3}+\frac{1}{2}=-\frac{2}{6}+\frac{3}{6}=\frac{3}{6}-\frac{2}{6}=\frac{1}{6}\\\\3\frac{1}{3}-5=-(5-3\frac{1}{3})=-(4\frac{3}{3}-3\frac{1}{3})=-1\frac{2}{3}\\\\-1\frac{4}{5}-(-2\frac{7}{8})=-1\frac{4}{5}+2\frac{7}{8}=-1\frac{32}{40}+2\frac{35}{40}=2\frac{35}{40}-1\frac{32}{40}=1\frac{3}{40}\\\\-3\frac{3}{8}-\frac{7}{8}=-(3\frac{3}{8}+\frac{7}{8})=-3\frac{10}{8}=-3\frac{5}{4}=-4\frac{1}{4}\\\\4\frac{3}{4}-(-1\frac{1}{12})=4\frac{9}{12}+1\frac{1}{12}=5\frac{10}{12}[/tex]
