What are the coordinates of the foci of the conic section shown below?
Answer:
((y + 2) ^ 2)/25 - ((x - 3) ^ 2)/4 = 1 O A. ( (3, - 2 plus/minus sqrt(21)) B. (3, - 2 plus/minus sqrt(29)) O B. O c. D . (3 plus/minus sqrt(21), - 2); (3 plus/minus sqrt(29), - 2)
The foci of the hyperbola will be (3, -2 + √29) and (3, -2 - √29). Then the correct option is B.
What is a hyperbola?The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.
The hyperbolic equation is given as,
(y - k)² /a² - (x - h)² /b² = 1
Then the foci of the hyperbola are given as,
(h, k + c) and (h, k - c)
The equation of the hyperbola is given below.
(y + 2)² /25 - (x - 3)² / 4 = 1
Compare the equations, then we have
(h, k) = (3, -2)
a² = 25
b² = 4
Then the value of 'c' is given as,
c² = a² + b²
c² = 25 + 4
c² = 29
c = √29
Then the foci of the hyperbola will be (3, -2 + √29) and (3, -2 - √29). Then the correct option is B.
More about the hyperbola link is given below.
https://brainly.com/question/12919612
#SPJ2
What is the value of z in the equation 3z + 5 = 4z − 8?
1.−13
2. −1
3. 1
4. 13
Answer:
it would be 13
Find the missing coordinate to complete the ordered-pair solution to the given linear equation.
y=8x + 2
(a) (0, ?)
(b) (3,?)
Answer:
(a) (0, 2)
(b) (3, 26)
Step-by-step explanation:
y = 8x + 2
(a) x = 0, y = 8(0) + 2 = 2
(b) x = 3, y = 8(3) + 2 = 24 + 2 = 26
Can anyone help me find the function for this trig graph ? i need a specific answer for the function , 50 pts
Answer:
y = 5 sin (2x) + 4
Step-by-step explanation:
this is sines function,
the amplitude is [9 - (-1)]/2 = 10/2 = 5
the period is 2πx/π = 2x
the x-axis of actual function is at y = 4
so, the function is :
y = 5 sin (2x) + 4
Please solve fast. I will give Brainleist or whatever it’s called
Answer:
84in
Step-by-step explanation:
84in
What is 0.325 written as a percent?
Answer:
32.5%
Step-by-step explanation:
Answer:
32.5
Step-by-step explanation:
divided by 100 to get percentage
How to find circumference
Un camion se desplazo de punto "a" al punto "b" quien a cambiado de posicion?
a) El camión
b) los hombres parados en la rampa
[tex] \huge \underbrace \mathfrak \red{Respuesta}[/tex]
a) Para The Man The Truck ha cambiado de posición.
b) Para el camión, el hombre parado en la rampa ha cambiado de posición.
[tex] \bold\green{Entonces\: la}[/tex] [tex]\underline\bold\red{opción \:A}[/tex] [tex] \bold\green{ es\: correcto}[/tex]
Espero que esto te ayude ❤️The text book store sold a combined total of 326 history and chemistry textbooks in a week. The number of chemistry textbooks sold was 86 less than the number of history textbooks sold. How many textbooks of each type was sold?
Answer:
The sentence
"The Number of Chem textbooks sold is 86 less than the number of History textbooks"
This seems to be the confusing part.
Now look at it this way...
'If CHM text is 86 less than History text... It also means that History Text is 86 More than CHM'
This expression can be written as
Let History Text be "H"
Let CHM text be "C"
C - 86 = H
or
C=H + 86.......1
First line of this question is interpreted thus
H + C = 326.......2
From eqn 1... C=H+86
Substitute into Eqn 2
H + C=326
H + (H+86)=326
H+H=326-86
2H=240
H=240/2
H=120.
C=H+86
C=120+86
C=206.
This answer is correct... Why?
The key statement says .. The Number of CHM sold is 86 less than History...
Also interpreted as
The Number of CHM – 86 = History
206 - 86 =120.
Have a great day!!!
What is the volume of the given cone ?
Answer:
235.619 is my answer since I have done V = (pi) radius squared and height/3
Step-by-step explanation:
A rectangular garden 800 square feet in area is to be fenced off against rodents. Find the dimensions that will require the least amount of fencing if one side of the garden is already protected by a barn.
Step-by-step explanation:
the area of a rectangle is
a × b
with a, b being the length and width (in any sequence).
a×b = 800
a = 800/b
the perimeter is
2a + 2b
one side is not needed, so we take one of them off. e.g. we take off one a.
a + 2b need to be a minimum
800/b + 2b
f(b) = 800/b + 2b
the extreme value(s) we find as the zero points of the first derivative.
f'(x) = -800/(b²) + 2 = 0
2 = 800/(b²)
2b² = 800
b² = 400
b = ±20 ft
negative lengths don't make sense, so, 20 ft is the solution.
a×b = 800
a×20 = 800
a = 40 ft
so, the minimum fencing is for
a = 40 ft
b = 20 ft (2 times)
the second a is covered by the barn.
Find the radian measure of 120 degrees.
Answer:
The radian :
[tex] \frac{2\pi}{3} [/tex]
Find the slope of a line passing through the given points.
(-4, 2) and (5,6)
slope =
Answer:
4/9
Step-by-step explanation:
To find slope without a graph, you subtract the 2 y-coords and the 2 x-coords, then divide the y-coord by the x-coord.
The formula is (y²-y¹)/(x²-x¹).
So we just plug in the coordinates.
(6-2)/(5-(-4))
(6-2)/(5+4)
4/9
So the slope is 4/9
---
hope it helps
Which one is it?.....
Answer:
The answer is Rotation
enjoy your day hope this helps
If f(x)
2x + 3, find f(-2)
Answer:
2x+3
f(-2)=:2x+3
2(-2)+3
-4+3
= -1
If y varies directly as x, which equation represents when x = 36 and y = 12?
Answer:
y=3x
Step-by-step explanation:
A line passes through the point (8,-4) and has a slope of 5/4
Answer:
y = 5/4x - 14
Step-by-step explanation:
Given:
Passes through (8, -4)
Slope (m) = 5/4
Slope-intercept equation:
y - y1 = m(x - x1)
y - (-4) = 5/4(x - 8)
y + 4 = 5/4x - 10
y = 5/4x - 14
Find the sum of the geometric series if n = 5, r = 2, a = 3.
Answer:
hope it helps you see the attachment for further information
sorry but my phone couldn't captured r=2
(-2,-3) (-1,2) write the equation in y=mx+b
Answer:
y = 5x + 7
Step-by-step explanation:
(-2, -3) & (-1, 2)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(2 - (-3)) / (-1 - (-2))
Simplify the parentheses.
= (2 + 3) / (-1 + 2)
= (5) / (1)
Simplify the fraction.
5/1
= 5
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 5x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-1, 2). Plug in the x and y values into the x and y of the standard equation.
2 = 5(-1) + b
To find b, multiply the slope and the input of x(-1)
2 = -5 + b
Now, add 5 to both sides to isolate b.
7 = b
Plug this into your standard equation.
y = 5x + 7
This is your equation.
Check this by plugging in the other point you have not checked yet (-2, -3).
y = 5x + 7
-3 = 5(-2) + 7
-3 = -10 + 7
-3 = -3
Your equation is correct.
Hope this helps!
34. find the square root of 298116 by
using long division method *
Answer:
hope it is helpfulto you
Answer:
Step-by-step explanation:
The answer is 546
The odds of winning a contest are approximately 5:1476. How many winners are there likely to be if there are 50000 participants?
Answer:
Approximately 169
Step-by-step explanation:
Set up as fractions and use cross multiplilcation to solve for the unknown.
These are our fractions from the information we are given; the winners represent the numerators (and x is the unknown, becuase we don't yet know how many winners there will be with 50000 participants). Note that the denominator on the first fraction is (1476 + 5) because we want it to represent TOTAL amount of particpants in the ratio:
[tex]\frac{5}{1481} = \frac{x}{50000}[/tex]
Now cross multiply by multiplying numerators and denominators that are ACROSS from each other, so 5 * 50000 and 1481 * x; now we have:
250000 = 1481x
Now to isolate x (to know its value) we need to divide both sides by 1481, and we are left with:
168.8 = x
But I rounded up to 169.
medical research team is conducting a study to determine whether there is a relationships between aerobic walking and cholesterol levels. A random sample of 315 subjects is selected and represented in the table below. Test the claim that walking and cholesterol levels are related. Include appropriate statistical evidence to support your findings.
Answer:
Chi-Square and Linearization ... A random sample of 315 subjects is selected and represented in the table below. ... claim that aerobic walking and cholesterol levels are related.
What is the value of P
Answer:
Hello! answer: 42
Step-by-step explanation:
These are vertical angles meaning it will have the same measure so p = 42 hope that helps!
outside the court ard is 120 m“, find the width of the path.
A square garden has an area of 441 m². If the path of uniform width surrounding inside the
garden is 216 m², find the width of the path.
Answer:
Area of a square garden = 2, 500 m².
Length of the side of the garden = √2,500 = 50 m.
Width of the path = 2.5 m.
Path is inside the garden.
Width of the garden that is inside (enclosed) by the path:
50 - 2 * 2.5 = 45 m.
Length of the garden inside by the path : = 45 m.
So the area of garden inside the path = 45 * 45 m²
= 2, 025 m².
Area of the path = 2, 500 - 2, 025
= 475 m².
Cost of laying the path = Rs 25 /m² * 475 m²
= Rs 11, 875.
Step-by-step explanation:
find the quotient of -75 divided (-15)
Answer:
5
Step-by-step explanation:
-75 divided (-15) = 5
What is the interquartile range of the data shown in box plot help for brainlist
Answer:
10
Step-by-step explanation:
subtract lower quartile (10) from upper quartile (20)
Select the correct answer.
Which statement best defines the term principal?
OA.
It is an arrangement in which you buy now and pay later.
ов.
It is the annual rate of interest a bank charges for a loan.
OC.
It is the original amount of money the bank loans the borrower.
Help me plz
Answer:
C
Step-by-step explanation:
the bank loans the borrower
hope it help
% of 400,000 = 100,000
Answer:
25%
Step-by-step explanation:
100,000/400,000 x 100
= 1/4 x 100
= 25%
Hence, 100,000 is 25% of 400,000
Feel free to mark this as brainliest :D
Answer:
x/100 x 400,000 = 100,000
x100 x100
400,000x = 10,000,000
Divide by 400,000 on both sides:
X = 25%
GUYS PLEASE HELP ALMOST DUE
Answer:
1/5
Step-by-step explanation:
y = 12
12 = 1/5 x 60
12= 12
y = 9
9 = 1/5 x 45
9 = 9
and so on and it always results to one fifth
Complete all the problems.
1.
X - 6 = -24
Solve for x.
Answer:
x= -18
Step-by-step explanation:
x= -24 + 6
Add -24 and 6.
x= -18
Answer:
X = -18
Step-by-step explanation:
You want to isolate X by itself. To isolate X on one side of the = sign, use the addition property of equality (to undo the subtraction of 6 from x) by adding 6 to both sides of the equation. We use the addition property of equality because this is the inverse operation. It is important to add 6 to both sides of to maintain an equivalent equation.
1. Set up your equation
X - 6 = -24
+6 +6
2. Solve out
X - 6 = -24
+6 +6
X = -18
Answer: -18