Find the constant sum for an ellipse with foci F1 (0, -12), F2 (0, 12) and the point on the ellipse (9, 0).

Answers

Answer 1

sqrt((0-9)^2+(-12-0)^2)+sqrt((0-9)^2+(12-0)^2) using the distance formula equals sqrt(81+144)+sqrt(225)=15+15=30

Related Questions

if a 24-day single payment loan has a periodic interest rate of 8.4% what is the approximate APR of the loan?
A. 201.6%
B. 127.8%
C. 12.8%
D. 20.2%

Answers

365 days by 24 = 15.20833 periods multiplied by 8.4 % = 127.8%

Answer:

Option B, 127.8%

Step-by-step explanation:

If a 24-day single payment loan has a periodic interest rate of 8.4%.

First we divide 365 by 24 to make periods of 24 days in one year.

365 ÷ 24 = 15.21

periodic interest rate of 8.4%

then Annual Percentage Rate = 15.21 × 8.4 = 1 27.76 ≈ 127.8%

127.8% is the approximate APR of the loan.

An experiment consists of dealing 5 cards from a standard 52-card deck. what is the probability of being dealt aa 10, jack, queen, king, ace, all in the same suit

Answers

This poker hand is known as a royal flush. A royal flush is a sequential list of cards where Ace is the highest and all cards are of the same rank.

The probability of getting a royal flush is 1/649740 = 0.00000153907717

---------------------------------------------

Explanation:

There are 4 ways to get a royal flush. Those ways are
* You have a royal flush with nothing but hearts
* You have a royal flush with nothing but diamonds
* You have a royal flush with nothing but spades
* You have a royal flush with nothing but clubs

This is out of 52 C 5 = (52!)/(5!*(52-5)!) = 2,598,960 different five cards hands

So we have 4/2598960 = 1/649740 = 0.00000153907717

A science experiment begins with a metal at −100° Celsius. The following function describes the temperature change per minute: f(x) = 89x − 100°. How will the graph of this function change if the metal is at 25° at the start of the experiment?

Answers

The function describes the the temperature change per minute:
f ( x ) = 89 x - 100°.
This is the graph of a linear function in the slope-intercept form:
y = m x + b
Starting point is - 100°, so b = - 100°
If the metal is at the temperature of 25° at the start of experiment, then it would be: b = 35°
The new equation: g ( x ) = 89 x + 25°
g ( x ) || f ( x ) ( parallel functions ), 25° - ( -100° ) = 125°
Answer: The graph of the function will translate vertically 125° up.

Answer:

Step-by-step explanation:

Jacobysontop!

Could someone show me the work for 1/2 divided by 2/3 x 3/4

Answers

[tex]\bf \cfrac{1}{2}\div \boxed{\cfrac{2}{3}}\cdot \cfrac{3}{4}\implies \cfrac{1}{2}\cdot \boxed{\cfrac{3}{2}}\cdot \cfrac{3}{4}\implies \cfrac{1\cdot 3\cdot 3}{2\cdot 2\cdot 4}\implies \cfrac{9}{16}[/tex]

Your teacher is giving you a test worth 100 points containing 40 questions. there are two-point and four-point questions on the test. let the number of two-point questions be x and the number of four-point questions be y. how many of each type of question are on the test?

Answers

x + y = 40....x = 40 - y
2x + 4y = 100

2(40 - y) + 4y = 100
80 - 2y + 4y = 100
-2y + 4y = 100 - 80
2y = 20
y = 20/2
y = 10 <=== there are 10 four-point q's

x + y = 40
x + 10 = 40
x = 40 - 10
x = 30 <=== there are 30 two-point q's

Answer:

t=30 f=10

Step-by-step explanation:

t= 100*1 - 40*4 = 30

2*1 - 1*4

f= 2*40 - 1*100 = 10

2*1 - 1*4

t=30 f=10

There are 10 people in a room. if each person shakes hands with exactly 3 other people, what is the total number of handshakes?

Answers

30 handshakes

10x3=30

Which formula is used to find circular mil area?

Answers

The term circular mil is common in expressing the cross sectional area of a wire. Electrical wires have very minute diameters that are often measured a thousandth of an inch. Hence, when you find the area of the circular wire, for convenience, the unit used is circular mil which is equivalent to one-thousandth of an inch.

For example, a wire has a diameter of 6×10⁻⁵ inches. To find its area:

A = πr² = π( 6×10⁻⁵ /2)² = 2.83×10⁻⁹ in²

Since 1 mil = 1/1000 (inch) or 0.001 inch

A = (2.83×10⁻⁹ in²)* (1 mil/ 0.001 inch)²
A = 0.00283 circular mils

PLEASE HELP!!!!!!!dgbdgdbhdndcn

Answers

Problem 1)

AC is only perpendicular to EF if angle ADE is 90 degrees

(angle ADE) + (angle DAE) + (angle AED) = 180
(angle ADE) + (44) + (48) = 180
(angle ADE) + 92 = 180
(angle ADE) + 92 - 92 = 180 - 92
angle ADE = 88

Since angle ADE is actually 88 degrees, we do NOT have a right angle so we do NOT have a right triangle

Triangle AED is acute (all 3 angles are less than 90 degrees)

So because angle ADE is NOT 90 degrees, this means AC is NOT perpendicular to EF

-------------------------------------------------------------

Problem 2)

a) The center is (2,-3)

The center is (h,k) and we can see that h = 2 and k = -3. It might help to write (x-2)^2+(y+3)^2 = 9 into (x-2)^2+(y-(-3))^2 = 3^3 then compare it to (x-h)^2 + (y-k)^2 = r^2

---------------------

b) The radius is 3 and the diameter is 6

From part a), we have (x-2)^2+(y-(-3))^2 = 3^3 matching (x-h)^2 + (y-k)^2 = r^2

where
h = 2
k = -3
r = 3

so, radius = r = 3
diameter = d = 2*r = 2*3 = 6

---------------------

c) The graph is shown in the image attachment. It is a circle with center point C = (2,-3) and radius r = 3.

Some points on the circle are

A = (2, 0)
B = (5, -3)
D = (2, -6)
E = (-1, -3)

Note how the distance from the center C to some point on the circle, say point B, is 3 units. In other words segment BC = 3.

4xy - 9xy + -3xy Simplify the polynomial

Answers

-8xy is the answer to the question

If today is tuesday what day will it be in 100 days

Answers

The answer is 100 / 7 which is 14.28 so you know it won't be a tuesday and you find out 105 divided by 7 is fifteen so so in fifteen weeks it will be another tuesday so minus five from a tuesday to get thursday i believe. Yes thursday

What are the discontinuities of the function f(x) = the quantity x squared minus 16 over the quantity 4x plus 24

Answers

x^2 - 16
--------
4x + 24

when x = -6 the denominator 4x+24 = 0 so there is a discontinuity at x = -6

This is a vertical asymptote x = -6

There is also a sloping asymptote - you find this by getting the quotient
which is y = 0.25x - 1.5 This is the equation of this asymptote.

Answer:

x= -6 is the point of discontinuity.

Step-by-step explanation:

We have been given the expression

[tex]\frac{x^2-16}{4x+24}[/tex]

The first thing to find the discontinuity is to factorize the given rational function:

After factorization we get:

We will use [tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]here, a=x\text{and}b=4[/tex] we will get:

[tex](x+4)(x-4)=x^2-4^2[/tex]

we will get:

[tex]\frac{(x+4)(x-4)}{4(x+6)}[/tex]

Discontinuity is the point where value of the function becomes not defined

Here, the point of discontinuity is -6 because when denominator becomes zero. function becomes not defined.

It has vertical asymptote but function is not defined.

Hence it is the point of discontinuity.

If you had 5 green marbles and 8 red marbles, what's the probability that you'll pull out a marble that is green?

Answers

5+8 = 13 total marbles

5 are green

so you would have a 5/13 probability of picking a green one

The lifetime of a supertough aaa battery is normally distributed with mean of 28.5 hours and standard deviation of 5.3 hours. for a battery selected at random, what is the probability that the lifetime will be 25 hours or less?

Answers

To answer this item, we are first to determine the z-score of the presented data using the equation,

z-score = (x - μ) / σ

where x is the data, μ is the mean, and σ is the standard deviation.

Substituting the known values,

z-score = (25 - 28.5)/5.3

z-score = -0.66

This translates to a percentage equal to 25.46%.

Therefore, from the supertough aaa batteries, approximately 25.46% has a lifetime that is only about 25 hours or less.

Solve this equation using an algebraic method: (x + 4)( x - 4) = 9
Help me out please

Answers

You have to FOIL out the (x+4)(x-4) and then subrtract away the 9 in order to get a quadratic that you can solve for x. As it is, you can't do it.
[tex](x+4)(x-4)= x^{2} -4x+4x-16= x^{2} -16[/tex]
Now if you move the 9 over with it, you get this:
[tex] x^{2} -16-9=0[/tex]
which simplifies to
[tex] x^{2} -25=0[/tex]
Now you can either solve this by recognizing that is the difference of perfect squares, or you can move the 25 over to the other side and take the square root of both sides, like this:
[tex] x^{2} =25[/tex]
[tex] \sqrt{ x^{2} } = \sqrt{25} [/tex]
[tex]x=+/-5[/tex]

If 5+3+2=151012, 9+2+4=183662, 8+6+3=482466, 5+4+5= 202504 , then 7+2+5= ?
a.141035
b.143510
c.143542
d.143524

Answers

A) is the right answer!

Examine the graph at right. Then in a sentence suggest why the graph rises at 11:00am and drops at 1:15pm

Answers

The x-axis of the graph is the time while y-axis of the given plot is the money inside Lucy's purse in dollars. we can see that from 6 am to 11 am, Lucy's money is equal to about $60 while around 11 am it rose up to around $125 and then decreased to $100. This means that in the given range of time, only one transaction per time range was done by Lucy. One scenario here was that before lunch, say 11 am, her money was $60 and found out that she has to buy something after work, in which her money was not enough. She went to withdraw some cash that's why she had $125 in total and has to spend a portion of it at lunch with the remaining cash of $100.

if 5(3x-7)=20 then what is 6x-8

Answers

5(3x-7)=20
15x-35=20
15x= 55
x= 55/15
x= 11/3

Plug this x value in.
6(11/3)-8
66/3 -8
22-8
14

Final answer: 14

Which of the following statements is the converse of the statement "If each of two angles has a measure of 28 degrees, then the two angles are equal in measure"?

Answers

the converse would be

If the 2 angles are equal in measure the each of the 2 angles has a measure of 28 degrees.

AS you see in this example , the converse is not necessarily true.

Answer:

If two angles are equal in measure then each of the two angles has a measure of 28 degrees.

Step-by-step explanation:

The converse of a statement is found by switching the hypothesis and conclusion of a conditional statement.

The hypothesis is the part that comes after "if" and the conclusion is the part that comes after "then."

This means the hypothesis is "each of two angles has a measure of 28 degrees" and the conclusion is "the two angles are equal in measure."

This gives us the converse "If two angles are equal in measure then each of the two angles has a measure of 28 degrees."

Over what interval of time in minutes was the jogger heart rate changing at the constant rate

Answers

The jogger was in a consistent rate in 2-3 minutes

We have a graph of the heart rate vs time.

We want to find on what interval the heart rate increases with a constant rate.

That interval is 3min ≤ t ≤ 4 min

The general function that increases with a constant rate is the general linear function:

y = a*x + b

Where a is the slope and also defines the constant rate of change.

Then the interval where the jogger heart rate changes at a constant rate is the part where we have a linear function (not the horizontal line, there the heart rate does not change).

Then the interval where the heart rate changes with a constant rate is:

3min ≤ t ≤ 4 min

If you want to learn more, you can read:

https://brainly.com/question/21670190

Two numbers, 3 and a, have a geometric mean of 9. Find the value of a.

Answers

The geometric mean of two numbers x and y is √(xy).

So, if the geometric mean of 3 and a is 9 =>

9 = √(3a)

=> 9^2 = 3a

=> a = 9^2 / 3

a = 81 / 3

a = 27

Answer: the value of a is 27.

Which equation is not a quadratic equation?
y = 3x2 + 2
y = 5x - 2
y = -x2
y = 5x2 - 2x + 7

Answers

A quadratic equation is usually in the form:

[tex]ax^{2} +bx +c[/tex]

where a, b and c are the coefficients of the expression and a ≠ 0.

If a = 0, the equation becomes a linear expression and is no longer quadratic.

Hence, in the above options; y = 5x -2 is the only one that is not a quadratic equation.

What is the equation of a circle with a center (-2, 3) and a radius r = 5?

Answers

The formula for the equation of a circle is:
(x - h)^2 + (y - k)^2 = r^2

(h, k) is the center.

So the equation would be:
(x + 2)^2 + (y - 3)^2 = 5^2
or
(x + 2)^2 + (y - 3)^2 = 25

A personal identification code consists of five digits (0 through 9). how many codes are possible?
a. 50
b. 252
c. 100,000
d. 30,240

Answers

The answer is C,
on each place you have 10 possible digit,
so for 5 places it will be 10^5 = 100, 000

There are 30,240 codes that are possible which consist of five digits (0 through 9).

What is a permutation?

A permutation is defined as a mathematical process that determines the number of different arrangements in a set of objects when the order of the sequential arrangements.

There are 10 options for each of the 5 digits in the personal identification code (0 through 9). Since the order of the digits matters, we can use the formula for the number of permutations of n items taken r at a time, which is:

n!/(n-r)!

In this case, n is the number of options (10) and r is the number of items (5). Plugging these values into the formula gives us:

10!/(10-5)! = 10!/(5!) = 109876 = 30,240

Therefore, the correct answer is (d) 30,240.

Learn more about permutation here:

brainly.com/question/1216161

#SPJ5

What does b belong with?

Answers

a-3

b-5

C-6

D- 2

Explanation: To match the equations properly I just used the process is substitution and elimination.

please vote my answer brainliest. thanks!

Maggie’s brother is 12 years younger that three times her age . The sun of their ages is 44 . How old is Maggie

Answers

I'm not sure if this is right but you can set up an equation and solve to find Maggie's age:

Maggie's brother's age = b
Maggie's age = m

b = 12 - 3m
44 = 12-3m
12-3m = 44
-12 -12
-3m = 32
÷ 3 ÷3
m = 10.67

So this would be Maggie's age

I hope this helped :)

Ship A receives a distress signal from the northeast and ship B receives a distress signal from the same vessel from the west. At what location is the vessel in distress located? Describe how you arrived at your conclusion using complete sentences.

Answers

First plot the points.
Second based on the two directions from the points you know that up is north, Right is east, West is left, and down is south on the graph.
Draw a line from the two points in the direction that it says the ship received the call from.
so the ship is at Ordered pair 3,3 :)

Coordinate geometry is the use of a 2D plane to represent the location of points. The position or location of the distress is in the first quadrant.

The coordinates of ship A and B are not given. So, I will give a general explanation.

On the four cardinal points,

North is upwardsEast is at the rightWest is at the leftSouth is downward

So, if ship A receives a distress from the northeast, then it means that the distress is coming from a location at the top right of A. i.e. the first quadrant.

Also, ship B receives distress from the west. This means that ship B is at the right-hand side of the distress.

So, we can conclude that the position or location of the distress is at the first quadrant.

It is impossible to determine the actual coordinates of the distress because the coordinates are not given (see attachment possible illustration)

Read more about coordinate geometry at:

https://brainly.com/question/18269861

Which complex number has a distance of √17 from the origin on the complex plane?
A;2 + 15i
B:17 + i
C:20 – 3i
D:4 – i

Answers

Let the complex number be x + iy

Then by the pythagoras therem

17 = x^2 + y^2

D will satisfy this equation

4^2 + (-1)^2 = 17

answer is D 4 - i

Answer:

The complex number 4-i has distance [tex]\sqrt{17}[/tex] from origin.

D is correct

Step-by-step explanation:

We are given the absolute value of complex plane.

If complex number is a+ib then absolute value [tex]\sqrt{a^2+b^2}[/tex]

We have to check the absolute value of each option and check which is equal to [tex]\sqrt{17}[/tex]

Option A: 2+15i

[tex]d=\sqrt{2^2+15^2}=\sqrt{4+225}=\sqrt{229}\neq \sqrt{17}[/tex]

Option B: 17+i

[tex]d=\sqrt{17^2+1^2}=\sqrt{289+1}=\sqrt{290}\neq \sqrt{17}[/tex]

Option C: 20-3i

[tex]d=\sqrt{20^2+3^2}=\sqrt{400+9}=\sqrt{409}\neq \sqrt{17}[/tex]

Option D: 4-i

[tex]d=\sqrt{4^2+1^2}=\sqrt{16+1}=\sqrt{17}= \sqrt{17}[/tex]

Hence, The complex number 4-i has distance [tex]\sqrt{17}[/tex] from origin.

How to determine the direction of a vector?

Answers

using the (x,y) coordinate or unit circle concept, find which quadrant the vector is in by the signs of x and y. Take the arcTan( y/x) for its reference angle, then draw the vector in that quadrant.

Two spheres of the same density have a ratio of 4 to 9 in surface area. If the small sphere weighs 10 kg, what does the large sphere weigh?

Answers

w= 33.75, the weight of the larger sphere

We know the surface areas:

Sphere Surface Area = 4 • π • r²
radius^2 = Surface Area / 4* PI
Let's say area of smaller sphere is 4 PI
radius^2 = 1
radius = 1
9/4 = 2.25
Area of the larger sphere = 4 * PI * 2.25
radius^2 = 2.25
radius = 1.5

Volume of a sphere = 4/3 • π • r³
Volume of larger sphere = 4/3 • π • 1.5^3
Volume of larger sphere = 3.375 times volume of smaller sphere

Mass of larger sphere = 3.375 * 10 kg
The larger sphere weighs 33.75 kg

Line k is the perpendicular bisector of (line)PQ. If line k intersects (line)PQ at point R, which of the following statements must be true?
check all that apply
A. Line k bisects PQ
B. PR is congruent to QR
C. Line k intersects PQ at a 90 angle
D. Point R is the midpoint of line k
E. Line k is parallel to PQ

Answers

Ok

A B C are correct

|
|
_____|_____
|

Answer:

A. Line k bisects PQ

B. PR is congruent to QR

C. Line k intersects PQ at a 90 angle

Step-by-step explanation:

A perpendicular bisector of a line is a segment that cuts right in the middle a line, and that segment forms a 90º degree angle with the line. This means that the point where the segment cuts the line would be exactly the half, making both resultant segments on the line congruent. So the options that are correct are ABC.

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