The equation of the hyperbola is:
[tex]\frac{x^2}{8} - \frac{y^2}{8} = 1[/tex]
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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
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Question 3 of 10
The graph below could be the graph of which exponential function?
A. FX) = 2 (7)
O B. FX) = 2
C. F(X) = 2 · (0.5)
D. FX) = 2(16)
To distinguish it from other exponential functions, the exponential function f(x)=e^x is frequently referred to as the natural exponential function.
What is exponential function?The mathematical symbol again for exponential function is e^x. The word, unless specifically stated differently, typically refers to the optimistic functional of a real variable, but it may be extended towards the complex numbers or adapted to other mathematical like matrices and Lie algebras.
The idea of exponentiation, or repeated multiplication, is where the exponential function got its start, but more recent definitions—there are several that are equivalent—allow for it to be rigorously expanded to everyone real arguments, especially irrational values.
A. FX) = 2 (7)→ 6(a+8)
O B. FX) = 2→4(1+ 9x)
C. F(X) = 2 · (0.5)→(9m + 10) x 2
D. FX) = 2(16)→ 3 (2x + 4y - 15z)
Therefore, to distinguish it from other exponential functions, the exponential function f(x)=e^x is frequently referred to as the natural exponential function.
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Molly is currently one third the age of her mother. In 12 years, Molly will be half the age that her mother will be. How old is Molly's mother now?
Answer
Molly's mother is 36 years old now.
Step-by-step explanation:
Answer:
Molly's mother is 36 now.
Step-by-step explanation:
(I could go the algabraic way, but I'd prefer not to. I'd rather guess. )
If Molly would be 24 in 12 years and her mother would be 48 at that time, then Molly is 12 now. Her mother would be 36 now.
Well, that didn't take too long! I hope this helps!
Solve for q.
3
19
= 2
2/3
O 8/3
O 6/3
O 2
Answer:
3/4q=2 ÷3/4
q=8/3
Step-by-step explanation:
prove me wrong
it takes 25 min to cook 10 egg how long does it take to cook 20
Answer:
50 minutes
Step-by-step explanation:
so it takes 25 minutes to boil 10 egggs so right now we have to find out the how Long one egg cooks for so it’s 25/10 and the answer is 2.5 and 2.5 times 20 is 50 so it takes 50 mins to cook 20 eggs
4 ^-2 x 4 ^ 5 help ty
Answer:
The answer is c
Find the missing length
Answer:
there's no picture
Step-by-step explanation:
sorry
solve for x each figure is a parallelogram please help
Answer:
UW = EW+UE=2×EW because, EW=UE
7x-2=2×6= 12
7x=14
x=14/7
x=2
2 is the right answer.consider the function y 2x+3. which is true
Answer:
True
Step-by-step explanation:
if you really think about it you can use y for anything an dy is the most replaceable to have so i agree with your think hope it help man
Following are the solution to the given graph equation:
Given:
[tex]y<2x+3[/tex]
To find:
true points
Solution:
The shade appears below a broken (dashed) line inside the supplied graph equation because the value is less than (<).With shade above, the line will not be smudged.With shade above, the line will not be dashed.With shade below, this line would not be solid.Therefore, the final answer is "None of these".
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BRAINLEST ANSWER!!
Find the coordinates of midpoint E.
(Enter answer in simplified form.)
Answer: -2a,-2b
Step-by-step explanation:
Some ppl might think this is easy
An electrician charges an $80 flat fee, plus $60 per hour to work on a house.
a. Complete the table that shows the cost of hiring the electrician for 3 hours.
Answer:
260
Step-by-step explanation:
60 X 3 = 180
180+80 = 260
Please help!!! I need help asap!!!
Answer:
-5
Step-by-step explanation:
A negative times a negative always equals a positive. 5 x 9 = 45
Divide £ 45 among 3 person so that their share are in the ratio 4:5:6
Answer:
12, 15, 18
Step-by-step explanation:
4x+5x+6x=45
15x=45
x=3
4x=12, 5x=15, 6x= 18
The sum of 3 consecutive numbers is 21. Write and solve an equation that represents the situation.
Answer:
I don't know if you want it with variables or the actual #s but here ya go...
a+b+c=21
6+7+8=21
help please i’ll give brainliest.
ΔABC is similar to ΔFED. Answer the questions to find the length of DF .
1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.
2. Which side in ΔFED does CB in ΔABC correspond to?
Answer:
1.AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.
Hence side AB corresponds to side FE.
2.CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.
3.AC corresponds to FD
4.The scale factor is 2 because you would take the sides in ABC and multiply by 2 to get the sides in FED
5.6 because it corresponds to CB and you would multiply the side of CB (3) by 2 and you would get 6
6.A^2+B^2=C^2 = FE^2+ED^2=FD^2 = 8^2+6^2=100^2 = square root of 100= 10
The side length of FD is 10
Answer:
Your welcome no need to thank me
Step-by-step explanation:
Solve for the unknown quantity in each proportion.
Question: K over three equals three over nine
A. 1
B. 3
C. 9
D. 27
Answer:
D
Step-by-step explanation:
27÷3=9
Marijah wants to start saving money as a
New Year’s resolution. She starts with $125
and decides to save $15 per week from her
part-time job. Write an equation to represent
the total money saved, T after w weeks.
graph y < - 4/3x + 3
Answer: if you see my picture you will see my answer
Step-by-step explanation: hope this help
45k+34=979 i need help
Answer:
I think its 21 because 45x21= 945+34= 979
Step-by-step explanation:
Cece's dog loses 11b. Then her dog loses another 1.16. Finally, it
gains Ib. What is the total change in her dog's weight? Show your work.
PLEASE help it for math and it due today please help
Answer:
The total change in her dog's weight is 11.16 pounds lost.
Step-by-step explanation:
11+1.16=12.16
12.16-1=11.16
If a triangle has 2 sides of 8 and 11 what could the third side be
Answer:
Any value between 3 and 19 may be the measure of third side.
Step-by-step explanation:
If three sides of a triangle are a, b, and c, possible measures of the sides of a triangle will be.
1). a + b > c
2). b + c > a
3). a + c > b
If a = 8, b = 11,
1). 8 + 11 > c
c < 19
2). 11 + c > 8
c > 8 - 11
c > (-3)
3). 8 + c > 11
c > 11 - 8
c > 3
Therefore, by combining the given inequalities,
3 < c < 19
Any value between 3 and 19 may be the measure of third side.
HELPPPPPPPPPP this is due soon!
If (x – 3)2 = 5, what values of x make the quadratic equation TRUE?
A. 3+√5
B. -3+√5
C. +√5/3
D. -√5+3
Answer: Its a
Step-by-step explanation:
The value of [tex]x=3+\sqrt{5}[/tex] make the quadratic equation true.
Quadratic equation :Given equation is,
[tex](x-3)^{2}=5[/tex]
We have to solve above quadratic equation.
Expand above equation first,
[tex](x-3)^{2}=5\\\\x^{2} +9-6x=5\\\\x^{2} -6x+4=0\\\\x=\frac{6\pm \sqrt{36-16} }{2} \\\\x=3\pm\sqrt{5}[/tex]
Thus, the value of [tex]x=3+\sqrt{5}[/tex] make the quadratic equation true.
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Riley wanted to paint a picture that was 8 inches long and 4 inches wide what's the area of her picture and the unit of it.
Answer: Riley's picture has an area of 32 inches
8*4=32
Make x the subject of the
formula x + 1 = ax + 3
Answer:
X=ax+2
x+ax=2
X=2/(a+1)
FIND TWO NUMBERS WHOSE SUM IS 21 AND DIFFERENCE IS 17
11 , 10
2 ,23
19 ,2
Answer:
19, 2
Step-by-step explanation:
let the 2 numbers be x and y with x > y , then
x + y = 21 → (1)
x - y = 17 → (2)
Add the 2 equations term by term to eliminate y , that is
2x = 38 ( divide both sides by 2 )
x = 19
substitute x = 19 into (1) for value of y
19 + y = 21 ( subtract 19 from both sides )
y = 2
The 2 numbers are 19 and 2
Help me!!! PLEASE (I only have 13 points)
Answer:
0.6 ÷ 0.3 - Option 2.
0.2 × 0.9 - Option 3.
Complete the table below.
Answer:
column 1, (2 and 2)
column 2, (8 and 4)
Step-by-step explanation:
For the first one, y = 2[tex]x^{2}[/tex]. You would plug in 1 into x and since one times itself is one, you would end up with 2. For the next question, you would plug in one and find that two times one is two. For the next column, by plugging in 2, you would find that you would end up with 2 times 4 and thus, you would find the answer which is 8. Lastly, two to the power of two is 4. Hope this helped!
Help ASAP don't spam please, its about exponents
Answer:
A. FALSE
Step-by-step explanation:
pls mark me as brainliest
Answer: True
Step-by-step explanation:
Consider the function f(x) = x(x – 4). If the point (2 + cy) is on the graph of f(x), the following point will also be on the graph of f(x): Select a Value Select a Value (C - 2,y) (2-cy)
Answer:
(2-cy) is the correct answer for the problem
1.) Ivan made a scale drawing of his cell phone using the scale factor 1 mm = 2 in. How long is the drawing of his phone if the actual phones is 8 inches? 21 A recine for rice pudding calls for 2 y cuns of
Answer:
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Step-by-step explanation: