The equation of the hyperbola is:
[tex]\frac{x^2}{8} - \frac{y^2}{8} = 1[/tex]
-----------------------------------------
Directrices at [tex]x = \pm 2[/tex]Foci at [tex]x = \pm 4[/tex]They are both in the x-axis, and the center is (0,0), which means that the equation is:
[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]
-----------------------------------------
Directrices at [tex]x = \pm 2[/tex] means that:
[tex]\frac{a^2}{c} = 2[/tex]
-----------------------------------------
Foci at [tex]x = \pm 4[/tex] means that:
[tex]c^2 = 4^2 = 16 \rightarrow c = 4[/tex]
Thus:
[tex]a^2 = 2c = 2(4) = 8[/tex]
-----------------------------------------
For b, we have that:
[tex]a^2 + b^2 = c^2[/tex]
[tex]8 + b^2 = 16[/tex]
[tex]b^2 = 8[/tex]
-----------------------------------------
Thus, since a and b have been found, the equation of the hyperbola is:
[tex]\frac{x^2}{8} - \frac{y^2}{8} = 1[/tex]
A similar problem is given at https://brainly.com/question/20409089
HELP ME PLZZZ This is the only table I don't know,
Answer:
apples: 6/8 = $0.75 per apple
pears: 1.25/1 = $1.25 per pear
peaches: 1.50/1 = $1.50 per peach
bananas: 4/6 = $0.67 per banana
"price per unit" means that you want to find out how much a single one of the product costs. you figure it out by dividing the price by how many there are.
Step-by-step explanation:
I hope this helps :)
give the coordinates (1,4) after a translation 3 units up and 2 units to the left.
Answer:
The coordinates would be (3,7)
Put the following list of numbers in order from smallest to largest.
1. first 28.3
2. second 28.15
3. third 27.068
4. fourth 29.94
5. fifth 28.08
The sides of three squares can be used to form triangles. The areas of the squares that
form right triangles have a special relationship. The triangle formed in the drawing below is
a right triangle.
What is the value of x, the side length of Square 2?
BRAINLEST answer !!
Find the value of y
Answer:
6 it's the same as the one next to a and b that's also 6
ASAP! please help, thanks
Answer:
d should be correct
Step-by-step explanation:
prove me wrong
Jordan's pet grooming business has a monthly cost function of C = $12p + $2100. His Revenue is given by the function R = $62p, where C is the total cost per month, R is the total revenue he receives each month and x is the number of pets he grooms in a month. How many pets must he groom each month to break even?
Answer:
Step-by-step explanation:
.
What is -7x3 =
Need answers asap!
Answer:
it is -21
Step-by-step explanation:
make it braintliest please
Answer:
-7×3 = -21Step-by-step explanation:
I hope it helps ❤❤The length of the two legs of a right triangle are 18 cm and 24 cm.
What is the length of the hypotenuse of the triangle?
O A. 30 cm
OB. 36 cm
OC. 42 cm
D. 48 cm
Answer: 30 cm
Step-by-step explanation: Take note that ^2 means to the second power.
a^2 + b^2 = c^2 (hypotenuse)
18^2 + 24^2 = c^2
324 + 576 = c^2
900 = c^2
To find the length of c you have to find teh square root of 900.
√c^2 = √900
c = 30
The length of the hypotenuse is 30 cm!
Hope this helped!
How much time has passed?
Start time: 4:45 a.m. End time: 7:25 a.m.
Answer:
2 hours and 40 mins i think
Step-by-step explanation:
what number is between-3/4 and 5/8
Answer: Any number between -6/8 and 5/8, so -5/8, -4/8, -3/8, -2/8, -1/8, 0, 1/8, 2/8 ,3/8, and 4/8.
Which expression is not equivalent to 3x-2
Answer: Let's simplify step-by-step.
3x−2
There are no like terms.
So it going to be the same, =3x-2
Step-by-step explanation: hope you understand
Answer:
2x + 2 + x
Step-by-step explanation:
Which system of equations has infinitely many solutions? On a coordinate plane, 2 lines are parallel to each other. On a coordinate plane, 2 lines intersect at (negative 1, 0). On a coordinate plane, a line has a negative slope.
Answer:
On a coordinate plane, a line has a negative slope
Step-by-step explanation:
If a graph only shows one line, there is an infinite amount of solutions. We need two separate line equations to cross at a point in order to find the solution to the system. However, if a graph shows two parallel lines that never cross, there are no solutions to that systems of equations.
Answer:
The correct answer is the last graph (C).
Step-by-step explanation:
edge 2020
ANSWER NOW AND YOU GET 12 and ill answer one of ur questions
Answer Im going to geuss the last, Im not sure but it looks right.
Step-by-step explanation: heres my question--> https://brainly.com/question/20473783
PLEASE HELP ME ITS DUE IN LIKE 10 MINS OMG
The slope is equal to 5/2.
I WILL GIVE YOU BRAINLY PLSS
There are 256 vehicles in a car dealership’s lot. At least 113 of them are hybrid
vehicles. Which inequality describes how many vehicles, at most, are not hybrid?
A. ≤ 143
B. 143
D. ≥ 143
PLSS SHOW YOUR WORK PLS
Answer:
B. 143
Step-by-step explanation:
Subtract 113 from 256 and you get 143. 143 is not less than or greater than 143 so it is equal.
What is the slope-intercept equation of the line whose y-intercept is
8 with slope -5?
Answer:
y = - 5x + 8
Step-by-step explanation:
Given that :
Intercept = 8
Slope = - 5
Recall, the general. Slope - intercept equation :
y = bx + c
Where;
b = slope ; c = intercept
Plugging the Given slope and intercept values, equation becomes ;
y = - 5x + 8
I WILL GIVE YOU BRAINLY PLSS
It costs Fred $0.20 to send a text message from his cell phone. He has already spent $4 in text messages this month. If he has a total of $10 that he can spend
this month on text messages, which inequality shows the greatest number of text
messages that he can send?
A. 4 + 0.20 ≤ 10
B. 4 + 0.20 ≤ 10
C. 4 + 0.20 < 10
D. 4 + 0.20 < 10
PLSS SHOW YOUR WORK PLSS
Answer:
I think it should be 4+ .20 = 10 so A or B maybe you wrote it out wrong
so the answer is A or B because you have to divied and A and B are the same he would end up sending 50 msg
help me pass my class .
Answer:
about 3.6
Step-by-step explanation:
pythagorean theorem
sqrt 13
I NEED HELP ON SIMPLIFYING THIS SOMEONE HELP
Answer:
I think it is 3^8
Step-by-step explanation:
(3^5)^2
÷
3^-2
3^10
÷
3^-2
=3^8
A quantity with an initial value of 6200 decays continuously at a rate of 5.5% per month. What is the value of the quantity after 4 years, to the nearest hundredth?
Answer:
410.32
Step-by-step explanation:
Given that the initial quantity, Q= 6200
Decay rate, r = 5.5% per month
So, the value of quantity after 1 month, [tex]q_1 = Q- r \times Q[/tex]
[tex]q_1 = Q(1-r)\cdots(i)[/tex]
The value of quantity after 2 months, [tex]q_2 = q_1- r \times q_1[/tex]
[tex]q_2 = q_1(1-r)[/tex]
From equation (i)
[tex]q_2=Q(1-r)(1-r) \\\\q_2=Q(1-r)^2\cdots(ii)[/tex]
The value of quantity after 3 months, [tex]q_3 = q_2- r \times q_2[/tex]
[tex]q_3 = q_2(1-r)[/tex]
From equation (ii)
[tex]q_3=Q(1-r)^2(1-r)[/tex]
[tex]q_3=Q(1-r)^3[/tex]
Similarly, the value of quantity after n months,
[tex]q_n= Q(1- r)^n[/tex]
As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,
[tex]q_{48}=Q(1-r)^{48}[/tex]
Putting Q=6200 and r=5.5%=0.055, we have
[tex]q_{48}=6200(1-0.055)^{48} \\\\q_{48}=410.32[/tex]
Hence, the value of quantity after 4 years is 410.32.
Answer:
442.44
Step-by-step explanation:
Kiera and her brother, Mitchell, are saving money to adopt a puppy. Kiera currently has $126
and plans to save an additional $14 each week. Mitchell currently has $42 and plans to save
an additional $20 each week.
How many weeks will pass before Kiera and Mitchell have the same amount of money? How
much money will they each have?
In _____
weeks, Kiera and Mitchell will each have $_____
Answer:
Step-by-step explanation:
Find the radius of the given circle with the center at (-2,1) and a point on the circle at (0,3).
Answer:
The radius of the given circle ( r ) = 2√2
Step-by-step explanation:
Step(i):-
Given that the center of the circle C = ( -2,1)
Given a point on the circle P = (0,3)
The distance between the center and point is called the radius of the circle
CP = radius of the circle
Step(ii):-
[tex]CP = \sqrt{x_{2} - x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
[tex]CP = \sqrt{(0 - (-2))^{2} +(3-1)^{2} } \\CP = \sqrt{4+4}[/tex]
CP = √8 = [tex]\sqrt{4 X 2} = 2\sqrt{2}[/tex]
Final answer:-
The radius of the given circle ( r ) = 2√2
If the pattern in the table continues when will sales for DVD players equal sales for mobile phones?
answer choices
never
year 2011
year 2010
year 2012
Answer:
never because they are continually increasing at the same rate without multiplying and dividing
what are the next 3 terms of the sequence-3, -7, -11, -15?
Answer: -19, -23, -27
Step-by-step explanation:
You minus/subtract 3 each time to get your next three terms
There are 372 players in a tennis tournament. In each round, half of the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?
Answer:show ur homework page I have the same one I think
Step-by-step explanation:
√50X3√2=?? help please
Mary's Muffins makes 300 muffins on Thursday mornings. On Fridays, they make 10 times as many muffins as they do on Thursdays. How many muffins does Mary's Muffins make on a Friday? *
Answer: 3,000
Step-by-step explanation: 300 x 10 = 3000
Answer:
3000
Step-by-step explanation:
300+300=600+300=900+300=1200+300=1500+300=1800+300=2100+300=2400+300=2700+300=3000
Write the ordered pair corresponding to the point B.
Answer:
The ordered pair for point A is (-2, 0). For point B, move to the right 4 units to get an x-coordinate of 4, then move down 3 units to get a y-coordinate of -3. The ordered pair for point B is (4, -3). For point C, move to the right 3 units to get an x-coordinate of 3, then move up 5 units to get a y-coordinate of 5.
Step-by-step explanation:
hope this helps
Answer:
(-2, -3)
Step-by-step explanation:
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Step-by-step explanation:
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