ILL GIVE A BRAINLIEST !!!
The foci and the vertices of the hyperbola are labeled.
Which equation represents the hyperbola shown in the graph?
Answers
Answer:
The top one, that is the hyperbole.
The equation of hyperbola is [tex]\frac{(y-5)^{2} }{9 } -\frac{(x-3)^{2} }{16 } = 1[/tex]
What is a hyperbola?A plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant : a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone.
What is standard hyperbola equations?• If the foci lie on the x-axis, the standard form of a hyperbola can be given as,
[tex]\frac{(x-h)^{2} }{a^{2} } - \frac{(y-k)^{2} }{b^{2} } = 1[/tex]
• If the foci lie on the y-axis, the standard form of the hyperbola is given as,
[tex]\frac{(y-k)^{2} }{a^{2} } -\frac{(x-h)^{2} }{b^{2} } = 1[/tex]
• Coordinates of the center: (h, k).
• Coordinates of vertices: (h+a, k) and (h - a,k)
• Co-vertices correspond to b, the ” minor semi-axis length”, and coordinates of co-vertices: (h,k+b) and (h,k-b).
• Foci have coordinates (h+c,k) and (h-c,k). The value of c is given as, c2 = a2 + b2.
• Slopes of asymptotes: y = ±(b/a)x.
According to the question
Foci = (3,7) (3,-3)
Vertices = (3,5) (3,-1)
As per coordinates and graph the hyperbola is vertical so x will be constant y varies
Distance between foci = 2c (where c is center)
10 = 2c
C = 5
Therefore Centre (h,k) = (3,5)
Distance between vertices = 2a
2a= 6
a = 3
The value of c is
[tex]c^{2} = a^{2} + b^{2}[/tex]
25 = 9 + [tex]b^{2}[/tex]
[tex]b^{2}[/tex] = 16
Now as per our equation
h=3 , k=5 , [tex]a^{2}[/tex] = 9, [tex]b^{2}[/tex] = 16
[tex]\frac{(y-k)^{2} }{a^{2} } -\frac{(x-h)^{2} }{b^{2} } = 1[/tex]
[tex]\frac{(y-5)^{2} }{9 } -\frac{(x-3)^{2} }{16 } = 1[/tex]
Hence, equation of hyperbola = [tex]\frac{(y-5)^{2} }{9 } -\frac{(x-3)^{2} }{16 } = 1[/tex]
To know more about hyperbola here :
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# SPJ2
Related Questions
Simply 10x - 4y
PLEASE
Answers
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex] = 2(5x - 2y)[/tex]
Step-by-step explanation:
[tex]10x - 4y \\ = 2(5x - 2y)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which graph best represents the equation shown below?8x + 5y = 1
Answers
Answer:
linear graph
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
did the test
6. if Scott Hoff has a balance of $429.50 on a credit card that charges a finance charge computed at 2.5%, what is the new balance? Round your answer to the nearest cent. A $432.00 C $440.24 B $486.98 D $455.35
NEED AN ANSWER RN PLSS
Answers
Answer:
C. $440.24 is your answer.
Hope this helps!
Dante surveyed students to see how they feel about a proposal to choose a new school mascot. The frequency table shows the results. What question did Dante likely ask? Is this a statistical question?
Answers
Answer:
Dante most likely asked the students if they should change the school mascot. This is a statistical question because the question can be answered by data that varies.
Step-by-step explanation:
You can see that the results for this question are either "yes" or "no". This means that Dante asked a question with a yes or no answer related to changing the mascot. This question was probably something along the lines of whether or not the mascot should be changed.
The definition of a statistical question is "a question that should have different answers". Therefore, this is a statistical question because the answers will be different from student to student.
Hope this helps!
Sarah can eat 45 blueberries in 2 minutes. If she eats blueberries for 45 minutes straight, how many did she eat?
Answers
Answer:
1012
Step-by-step explanation:
She eats 1012 because:
If she eats 45 in 2 minutes then she eats 22.5 in 1 minute.
This is because 45 ÷ 2 = 22.5
Sarah eats blueberries for 45 minutes so we multiply 22.5 by 45
22.5 × 45 = 1012.5
She ate 1012 full berries.
Which table shows a linear function?
х
-4
-1
1
8
2
2
4
6
2
3
Х
-6
-2
-16
-8
4
-2
2
1
3
Х
0
-2.
2
7
Answers
Answer:
the second table
Step-by-step explanation:
if you plot all the points on a graph, the second function is the only one with a linear function. a linear function is a straight line.
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
7x+4y= 39
2x + 4y = 14
A. (3,2)
B. (5,1)
C. (5,4)
D. (3,4)
Answers
Answer:
The answer is B.
Step-by-step explanation:
When Elimination method is applied, you have to eliminate one of the variables from both equations. Firstly, both equations contain 4y so you can subtract it :
[tex]7x + 4y = 39 - - - (1)[/tex]
[tex]2x + 4y = 14 - - - (2)[/tex]
[tex](1) - (2)[/tex]
[tex]7x + 4y - 2x - 4y = 39 - 14[/tex]
[tex]5x = 25[/tex]
[tex]x = 25 \div 5[/tex]
[tex]x = 5[/tex]
Next, you have to substitute x = 5 to any equations. I will choose to put in (2) :
[tex]substitute \: x = 5 \: into \: (2)[/tex]
[tex]2(5) + 4y = 14[/tex]
[tex]10 + 4y = 14[/tex]
[tex]4y = 14 - 10[/tex]
[tex]4y = 4[/tex]
[tex]y = 4 \div 4[/tex]
[tex]y = 1[/tex]
Therefore, put your answer in coordinate form :
[tex]x = 5 \\ y = 1[/tex]
[tex](5,1)[/tex]
How would you differentiate y= 1/x -4ln(x)
Answers
Answer:
y=1x−4(ln(x))y=1x−4(ln(x)))
Step-by-step explanation:
Xmin= -10
Xmax= 10
Ymin=-10
Ymax= 10
Graph
Hope this helps.
Answer:
Step-by-step explanation:
no y-intercept
The lengths of the sides of a triangle are consecutive odd numbers. What is the length of the longest side if the perimeter is 45?
Answers
Answer:
17
Step-by-step explanation:
Let x be the first side
x+2 is the next side ( consecutive odd number)
x+4 is the third side ( consecutive odd number)
P = x + x+2 + x+4
45 = x + x+2 + x+4
Combine like terms
45 = 3x+6
Subtract 6 from each side
45-6 = 3x+6-6
39 = 3x
Divide by 3
39/3 = 3x/3
13 =x
The longest side is
x+4
13+4 = 17
The longest side is 17
The longest side is 16.
Let the consecutive sides be y, y+1, and y+2.
The perimeter of a triangle is gotten by adding all its sides. Therefore, the perimeter will be:
y + y+1 + y+2 = 45
Collect like terms
3y = 45 - 3
3y = 42
Divide both side by 3
3y/3 = 42/3
y = 14
Therefore, the longest side will be:
y + 2 = 14 + 2 = 16
The longest side is 16.
Read related link on:
https://brainly.com/question/13978159
The equation of the straight line that passes through the points (0,0) and (1,4) is,
a) y = 3x + 2
b) y = -x + 4
c) y = -4x + 2
d) y = 4x
Answers
Answer:
d
Step-by-step explanation:
The equation of a line which passes through the origin is
y = mx ( where m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (1, 4)
m = [tex]\frac{4-0}{1-0}[/tex] = 4 , thus
y = 4x → d
Answer:
D
Step-by-step explanation:
Please refer to picture attached.
The best method to deduce if the graph passes through the points mentioned, just substitute the values of x from the point into the equation to deduce if the y value is the same as the value in the point.
Find the range of the data,
Scores: 90, 89, 87, 79, 89, 84, 80, 85, 85, 79
Answers
Answer:
11
Step-by-step explanation:
Range of the data = highest score - lowest score
= 90 - 79 = 11
Answer:
Range__ higher -smaller
Step-by-step explanation:
90-79=11
Spiral Review: Find the ara of the triangle... Write the formula and plug in the values... Write your answer with units and box your answer
Answers
Answer:
300 km²
Step-by-step explanation:
Area of the triangle = 1/2 × base × height
Area = 1/2 × 20 × 30
Area = 300 km²
Answer:
[tex]300 {km}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A car travels 60 miles due north then makes a turn due west. It travels 72 miles west. How far is the car from its starting point? Round to the nearest tenth.
Answers
Answer:
93.7 miles
Step-by-step explanation:
This problem can be represented as a right angled triangle. The distance between the final point and the starting point is the hypotenuse.
We need to find the hypotenuse. We can use Pythagoras rule:
[tex]hyp^2 = opp^2 + adj^2[/tex]
where opp = opposite side to the angle considered
adj = adjacent side to the angle considered
This implies that:
[tex]x^2 = 60^2 + 72^2\\\\x^2 = 8784\\\\x = \sqrt{8784} \\\\x = 93.7 miles[/tex]
The car is 93.7 miles far from its starting point.
Can i get some help. To clarify this is homework not a test or etc...
Answers
Answer:
105/24
Step-by-step explanation:
The volume of a rectangular prism is length*width*height.
3/2 * 5/4 * 7/3 would be 15/8*7/3 which is 105/24, which is the fourth option.
[tex]answer = \frac{105}{24} \\ solution \\ volume \: of \: rectangular \: prism \\ = l \times b \times h \\ = \frac{3}{2} \times \frac{5}{4} \times \frac{7}{3 } \\ = \frac{105}{24} \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
all help is appreciated
Answers
Answer:
No, 16i^2+8i+15
Step-by-step explanation:
No, she did not square it properly.
(a+b)^2=a^2+2ab+b^2
So in this case, a=3, and b=4i
(3+4i)^2
= 3^2+2(3*4i)+(4i)^2
=9+6+8i+16i^2
=15+8i+16i^2
= 16i^2+8i+15
which choice is equivalent to the quotient below?
Answers
Answer:
A.) 3
Step-by-step explanation:
Let's start with the numerator:
√36/√4
√36 = ?
We know that 36 is a perfect square, or the product of one number multiplied by itself.
6 x 6 = 36
So, √36 = 6
Let's look at the denominator:
√36/√4
√4 = ?
We know that 4 is also a perfect square.
2 x 2 = 4
So, √4 = 2
Now we have the numerator: 6
And the denominator: 2
Fraction: 6/2
If we simplify this fraction, we are left with 3 because 6 divided by 2 is 3.
Therefore, the first answer is correct.
Answer:
3
Step-by-step explanation:
By studying the historical context of a story, you can better understand:
Answers
Answer:
Everything
Step-by-step explanation:
By knowing the context, you could tell what just happened and could even predict what's going to happen.
Put these values in order
from least to greatest:
6/5, 0.3815, 97%
Answers
Answer:
6/5, 0.3815, 97%
Step-by-step explanation:
6/5 = 1.2 = 12%
0.3815 * 100 = 38.15%
97%
Answer:
.3815, 97%, 6/5
Step-by-step explanation:
To keep this simple, just convert all of them into decimals. 6/5= 1.2 if you divide it. 97%= 0.97 because you divide the percent by 100 to get to the decimal. And finally, .3815 is already a decimal.
Now, you just sort it out. 1.2 is the largest number because it is the only one that is greater than 1. So that would go last
Now you compare .97 and .3815. To find out which one is greater, look in the tenths place, or the first digit after the decimal. 9 is obviously greater than 3 so .97 is greater than .3815.
Using this info we found, the smallest is .3815, then 97%, then 6/5
Points A, B, C, D, E, F, and G lie on the graph of function g( x ) as shown on the coordinate grid.
All the coordinates of the marked points are integers. Drag and drop numbers into the boxes to complete each form of the function
numbers to boxes:
-5, 0, 3, 4, 5, 6, 7
Answers
Answer:
[tex]g(x)=-(x-5)^2+4\\=-(x-7)(x-3)[/tex]
Step-by-step explanation:
Given: coordinate grid
To find: the missing number
Solution:
Equation of the parabola that open downwards and is symmetric about y-axis is [tex](x-h)^2=-4p(y-k)[/tex] where [tex](h,k)[/tex] denotes the vertex and focus is at [tex](h,k+p)[/tex]
[tex]g(x)=-(x-.....\,\,\,\,)^2+\left ( ....... \right )\\(x-.....\,\,\,\,)^2=-\left ( g(x)-(....) \right )[/tex]
[tex](x-h)^2=-\left ( g(x)-(k) \right )[/tex]
From the graph, vertex is [tex](5,4)[/tex]. Put [tex](h,k)=(5,4)[/tex]
[tex]g(x)=-(x-5)^2+4\\=-\left [ (x-5)^2-2^2 \right ][/tex]
Use formula [tex]a^2-b^2=(a+b)(a-b)[/tex]
So,
[tex]g(x)=-\left [ (x-5)^2-2^2 \right ]\\=-\left [ (x-5-2)(x-5+2) \right ]\\=-(x-7)(x-3)[/tex]
my dad's old baseball card increased in value from $400 to $500. what was the percent increase?
Answers
Answer:
25%
Step-by-step explanation:
Someone help me with this please :)
Answers
Answer:
Order of Opperation:
1= 67
2= 255
3= 42
4= -37
5= 55
6= 4
Evaluate Expression:
1= -1
2= 0
3= 5
4= 6
integer opperation:
1. 6
2. -20
3. 18
4. -12
5. -13
6. -15
7. -5
8. 96
9. 0
10. 18
11. undefined or 0/6
12. -56
Conversion Table:
50%
25%
3/4 AND .75
33%
2 5/10 (If u need simplified it would be 1 1/2) AND 2.5%
1 5/10 (If u need simplified it would be 1 1/2) AND 1.5
Which linear equation has no solution? 23(9x+6)=6x+4 5x+12=5x−7 4x+7=3x+7 −3(2x−5)=15−6x
Answers
Answer:
5x+12=5x-7
Step-by-step explanation:
If both x's on each are the same number, but with different constants, then the equation is unsolvable. If 5x+12=y, then 5x-7 can't also equal y because they are two different equations.
With all other equations, although some come out irrational, they are solvable and have a solution to them.
Which set of sides lengths will NOT form a
triangle?
A 3 ft., 4 ft.,5 ft.
B 10 ft., 12 ft., 20 ft.
C 1 ft.,2 ft 3 ft.
D 9 ft., 2 ft.,9 ft.
Answers
Answer:
The answer is D
Step-by-step explanation:
If you are working with right triangles, all of the other answers make a right triangle but if you're working with all triangles, all of the above can make a triangle.
Jordan prepares 200 name tags to use at a meeting. The number for each color of the name tag is described below.
35%of the name tags are blue
3/8 of the name tags are yellow
*all of the remaining name tags are red
how many of Jordans name tags are red ?
A)55
B)90
C)110
D)145
please help thxs!! due today 11:00 pm
Answers
Answer:
The answer would be A. 55.
Step-by-step explanation:
For the 35% you would take your 200 and divide it by 2 and have two 100's. Since 35% is out of 100% you could take 35 from each 100 and add them together to get 70.
For the 3/8 you would divide and get .375 then you would multiply that by 200 which would give you 75 yellow tags. Then you would add 75 and 70 and get 145. Then subtract 145 from 200 to get 55. Therefore there would be 55 red tags.
The number of Jordan's tags that are red are; A: 55 tags
How to calculate proportions?35% of the 200 tags are blue. Thus;
Number of blue tags = 35% * 200 = 70 tags
3/8 of the 200 name tags are yellow. Thus;
Number of yellow tags = 3/8 * 200 = 75 tags
The remaining tags are red. Thus;
Number of red tags = 200 - (75 + 70)
Number of red tags = 55 tags
Read more about Proportions at; https://brainly.com/question/1781657
Pls help with this, I have a lot of work and I'm trying to get it done faster
Answers
Answer:
C = 3b
Step-by-step explanation:
If each bottle costs 3 dollars, then the cost of b bottles would be 3b.
What is the sum of the interior angles in the polygon below? Show and explain your work.
Answers
Answer:
HEXAGON:
Using the same methods as for hexagons to the right (I'll let you do the pictures)...
To find the sum of the interior angles of a dodecagon, divide it up into triangles... There are ten triangles... Because the sum of the angles of each triangle is 180 degrees... We get
So, the sum of the interior angles of a dodecagon is 1800 degrees.
Regular Dodecagons:The properties of regular dodecagons:
All sides are the same length (congruent) and all interior angles are the same size (congruent).
To find the measure of the angles, we know that the sum of all the angles is 1800 degrees (from above)... And there are twelve angles...
So, the measure of the interior angle of a regular dodecagon is 150 degrees.
The measure of the central angles of a regular dodecagon:
To find the measure of the central angle of a regular dodecagon, make a circle in the middle (I'll let you do the picture)... A circle is 360 degrees around... Divide that by twelve angles...
So, the measure of the central angle of a regular dodecagon is 30 degrees.
pls help i give u brainliest
Answers
Answer:
The answer is 324π m².
Step-by-step explanation:
Given that the surface area of sphere formula is S.A = 4×π×r² where r is radius. The diameter of sphere is 18m so you have to divide it by 2 to find it's radius :
[tex]radius = diameter \div 2[/tex]
[tex]radius = 18 \div 2[/tex]
[tex]radius = 9m[/tex]
Then substitute into the formula :
[tex]s.a = 4 \times \pi \times {r}^{2} [/tex]
[tex]let \: r = 9[/tex]
[tex]s.a = 4 \times \pi \times {9}^{2} [/tex]
[tex]s.a = 4 \times \pi \times 81[/tex]
[tex]s.a = 324\pi {m}^{2} [/tex]
Answer:
The answer is 324π m².
Step-by-step explanation:
Given that the surface area of sphere formula is S.A = 4×π×r² where r is radius. The diameter of sphere is 18m so you have to divide it by 2 to find it's radius
Please help with this
Answers
Answer:
2,0
Step-by-step explanation:
So since this is a plane what i remember is that since there are three triangles c is directly at -4 and a is directly at 2 and b is direclty at 4.
Add them up gives you 4+2+-4
4-4=0
2+0=2
Given the function, f(x)= x+1-6, choose the correct transformation.
left 1, up 6
left 1, down 6
Oright 1, up 6
right 1, down 6
Answers
Answer:
How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)-x related to each other? g(x) is the reflection of f(x) over the y-axis. ... The ranges of f(x) and h(x) are different from the range of g(x).
Step-by-step explanation:
IS THIS HOW YOU DO IT
Answer: left 1 down 6
What is meant by the term financial planning?
a Long-term goals are reached over an extended period of time, so your current income does not affect
them.
b. It is creating a road map of everything you do with your money.
c. It is hoping you will have enough money to pay all your bills on time.
d. If your income exceeds your expenses, you will be able to save money for the future.
Please select the best answer from the choices provided
B
ОООО
D
Save and Exit
Next
Submit
Matkathisandrum
Answers
Answer:
a Long-term goals are reached over an extended period of time, so your current income does not affect
them.
Step-by-step explanation:
Financial planning refers to long term goals that are planned and reached over an extended period of time to keep one solvent in cases of emergency without having a direct effect on current income.
Solvency simply means having more assets than liabilities to be able to stay afloat of one's debts.
