In an hyperbola, the fixed points that have a constant difference in distance from the center are called _

A. Asymptotes
B. Centers
C. Foci
D. Vertices

Please select the best answer from the choices provided

OA
OB
OC
OD

Answer:

B

Step-by-step explanation:

We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:

[tex]x(t)+y(t)=k,\text{ where $k$ is some constant}[/tex]

The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:

[tex]\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k][/tex]

Remember that the derivative of a constant is always 0. Therefore:

[tex]\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0[/tex]

And by subtracting dy/dt from both sides, we acquire:

[tex]\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}[/tex]

Hence, our answer is B.

Answer:

Let x and y be functions of time t such that the sum of x and y is constant.

Answer:

It contains 0 or 2 triangles.

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Answer:

VX = 37

Step-by-step explanation:

Since VX is the midsegment, based on the midsegment theorem we would have:

VX = ½(UY)

VX = s - 37

UY = s

Plug in the values

s - 37 = ½(s)

Multiply both sides by 2

2(s - 37) = s

2s - 74 = s

Collect like terms

2s - s = 74

s = 74

VX = s - 37

Plug in the value of s

VX = 74 - 37 = 37

Answer:

25 degrees

Step-by-step explanation:

angle CAD is a right angle, which is 90 degrees, and angle CAF is a straight line (180 degrees), which makes angle DAF a right angle. It is given that angle EAF is 65 degrees, therefore,

90 degrees - 65 degrees =  25 degrees

Answer:33 square feet

Step-by-step explanation:

Split the shape into two rectangles

3x7

6x2

Solve:

3x7=21

6x2=12

Add

21+12=33

Answer:

the area is 32

Step-by-step explanation:

Answer:

C (yogurt sales had a decresing trend)

Step-by-step explanation:

so because if you look over other staistics they are not true and this one is

The yogurt sales has been decreasing in the last four months of 2011, the correct option is C.

Graph is a mathematical representation of relation between two objects.

The pie chart, line graph and the data table has to be studies to answer about the trend that is followed for the customer purchases of ice creams and yogurt.

The yogurt sales has been decreasing in the last four months of 2011.

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Answer:

x=3

Step-by-step explanation:

Answer:

so 9 - x - 5x = 9 because the 9 means x so its making the number negative. so - 9 and the 9 at the end = 9 don't worry about that bc you can subtract 5x

Step-by-step explanation: so what I'm saying is theirs many ways to solve that its just you don't know the level or something similar to that I'm only helping because I'm bored btw.

Answer:

a

Step-by-step explanation:

if it’s wrong i’ll change it when i’m done with this quiz

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Let [tex]x_{ij}=1[/tex] when i is the element itself is allocated to 'j' [tex]i_0[/tex]

Min  

[tex]185X_{1A}+225X_{1B} +193X_{1C} +207X_{1D} +200X_{2A} +190X_{2B} +175X_{2C}+225X_{2D}+330X_{3A} +320X_{3B} +315X_{3C}+300X_{3D}+375X_{4A}+389X_{4B}+425X_{4C}+ 445X_{4D}[/tex]

Subject to:

[tex]X_{1A} +X_{1B}+X_{1C}+X_{1D}=1\\\\X_{2A} +X_{2B}+X_{2C}+X_{2D}=1\\\\X_{3A} +X_{3B}+X_{3C}+X_{3D}=1\\\\X_{4A} +X_{4B}+X_{4C}+X_{4D}=1\\\\X_{1A} +X_{2A}+X_{3A}+X_{4A}=1\\\\X_{1B} +X_{2B}+X_{3B}+X_{3B}=1\\\\X_{1C} +X_{2C}+X_{3C}+X_{4C}=1\\\\X_{1D} +X_{2D}+X_{3D}+X_{4D}=1[/tex]

Step-by-step explanation:

If there are 20 yellow marbles,

there must be 32 - 20 = 12 red marbles.

P(Red marble)

= 12/32

= 0.375.

Answer:

The probability is 12/32

Step-by-step explanation:

If there are 12 red marbles and 20 yellow marbles, then there will be a 12/32 chance that you pick a red marble

This is because out of 32 marbles, you have 12 red marbles that you could pick, which gives you a 12/32 chance that you will pick a red marble. This can also be said as a 37.5% chance.

Answer:

0.4m²

Step-by-step explanation:

use the formular for tripezoid and only substitute a b and h

Answer:

Step-by-step explanation:

Total marbles:

Green and blue marbles:

Probability of getting green or blue:

9514 1404 393

Answer:

  A, C, D, E

Step-by-step explanation:

Dilation does not change angles or directions. Every image point X' lies on the line containing the center of dilation and the pre-image point X. If the scale factor is other than 1, no image segment will be congruent to its pre-image segment. So, the following are true:

Answer: 1.25

Step-by-step explanation:

hope this helps !!

Answer:   a = [ 65.8]

Step-by-step explanation:

A = 18°

B = 28°

b = 100

a = [ x ]

[tex]\dfrac{100}{sin \: 28^{o} } =\dfrac{x}{sin \: 18^{o} } \\\\\dfrac{100}{0.4694715628} =\dfrac{x}{0.3090169944} \\\\x=\dfrac{0.3090169944 \cdot 100}{0.469715628} \\\\x=65.78810\dots \\x \approx 65.8[/tex]

Answer:40 square yards

Step-by-step explanation:

Given

Floor area A=10 square yards

Red tile costs [tex]\$ 60[/tex] per square yards

White tile costs [tex]\$40[/tex] per square yards

Total money spent=[tex]\$480[/tex] on tiles

Suppose red tiles cover an area of [tex]x[/tex] square yards

So, we can write

[tex]60\times x+40\times (10-x)=480\\60x+400-40x=480\\20x=80\\x=40\ \text{square yards}[/tex]

Red tiles cover an area of 40 square yards  

Answer:

A. (X-2)^2 = 4(y+5)

Step-by-step explanation:

Equation of parabola: (x-2)² = 4(y+5)

Thus option A is correct.

Given:

Focus at (2, -4) and a Directrix of y = -6

Here,

Let us suppose that there is a point (x, y) on the parabola.

Its distance from the focus point (2, 4) is √(x - 2)² + (y + 4)²

Its distance from directrix y = -6 is |y + 6|

Therefore, the equation will be:

√(x - 2)² + (y + 4)² = |y + 6|

Squaring on both the sides,

(x - 2)² + (y + 4)² = (y + 6)²

x² - 4x + 4 + y² + 8y + 16 = y² + 12y + 36

(x-2)² = 4(y+5)

Therefore option A is correct.

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Answer:

4

Step-by-step explanation:

Answer:

i think its 63

Answer:

its c or a

Step-by-step explanation:

Answer:

Explanation:

-8x = 140

-8x / -8 = 140 / -8

x = ⁻³⁵⁄₂

x = -17.5

Answer:

-17.5

Step-by-step explanation:

140 divided by -8=-17.5

x=-17.5

Answer:

x = 15

Step-by-step explanation:

Apply the keg rule to find x. The keg rule is given as:

Hypotenuse / leg = leg / part of the hypotenuse directly under the leg

Hypotenuse = 25

Leg = x

Part of the hypotenuse directly under the leg = 25 - 16 = 9

Plug in the values

25/x = x/9

Cross multiply

x*x = 25*9

x² = 225

x = √225

x = 15

Answer:

[tex]8\:\mathrm{minutes}[/tex]

Step-by-step explanation:

The volume of a cylinder is given as:

[tex]r^2\cdot\pi\cdot h[/tex]

Since the diameter is [tex]2.2[/tex], the radius is [tex]\frac{2.2}{2}=1.1[/tex].

Therefore, the volume of this cylinder is:

[tex]1.1^2\cdot 3.14\cdot 4=15.1976\:\mathrm{ft^3}[/tex], using [tex]\pi=3.14[/tex] as requested in the problem.

Since the tank is emptied at a constant rate of [tex]1.5\:\mathrm{ft^3\:per\:minute}[/tex], it will take

[tex]\frac{15.1976}{1.5}=7.5988=\fbox{$8\:\mathrm{minutes}$}[/tex] to empty the tank.

Answer:

0.2356

Step-by-step explanation:

Given that:

μ = 40; σ = 16

P(50 ≤ x ≤ 70) :

Using the Zscore formula :

(x - μ) / σ

P((50 - 40) / 16 ≤ Z ≤ (70 - 40) / 16)

P(50 ≤ x ≤ 70) = P(0.625 ≤ Z ≤ 1.875)

Using the Z probability calculator :

P(Z ≤ 1.875) - P(Z ≤ 0.625) -

0.9696 - 0.73401

= 0.23559

= 0.2356

Answer:

x=81 degrees

y=132 degrees

z=60 degrees

Answer:

x=81 degrees

y=132 degrees

z=60 degrees

Answer: Its they second or last one but the second one sound more clear

Step-by-step explanation:

Answer:

x = 2, y = 13

(2, 13)

Step-by-step explanation:

hope this helps!

Answer:

The answer is 4 x p.

Hope this helps! :)