Answer:
[tex]\huge{\mathfrak{Solution}}[/tex]
[tex]\huge{\bold{ \frac{ {y}^{2} }{36} - \frac{ {x}^{2} }{121} = 1 }}[/tex]
[tex]\huge{\bold{ \frac{(y - k) {}^{2} }{ {a}^{2} } - \frac{(x - h) {}^{2} }{ {b}^{2} } = 1 \: is \: the \: standard \: equation \: with \: center \: (h ,k),semi-axis \: a \: and \: semi-conjugate \: -axis \: b.}}[/tex]
[tex]\huge\boxed{\mathfrak{We \: get,}}[/tex]
[tex](h,k) = (0,0),a = 6,b = 11[/tex]
[tex]For \: hyperbola \: assymtoms \: are \: y = + \frac{a}{b} (x - h) + k[/tex]
[tex]Therefore,y = \frac{6}{11} (x - 0) + 0,y = - \frac{6}{11} (x - 0) + 0[/tex]
[tex]\large\boxed{\bold{y = \frac{6x}{11},y = - \frac{6x}{11} . }}[/tex]
If y²/36 - x²/121 = 1, the asymptotes are y = (36/121) x and y = -(36/121) x.
To find the equations for the asymptotes of the hyperbola represented by the equation y²/36 - x²/121 = 1, we can compare it with the standard form of a hyperbola:
(y - k)² / a² - (x - h)² / b² = 1
where (h, k) represents the center of the hyperbola.
In the given equation, we have y²/36 - x²/121 = 1. To put it in standard form, we need to divide both sides by 1 (which is essentially dividing by 1 on the right side):
y²/36 - x²/121 = 1 / 1
Now, we can see that a² = 36 and b² = 121.
To find the equations of the asymptotes, we use the center (h, k) and the values of a and b. The asymptotes of a hyperbola have equations of the form:
y = k ± (a/b)(x - h)
In this case, the center (h, k) is (0, 0), a² = 36, and b² = 121:
The equations for the asymptotes are:
y = 0 ± (36/121) x
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-5/9+(-4/3)-2/3 khan academy. Please help !!!
Answer:
= -2.554
Step-by-step explanation:
BODMAS Rule:
Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction.
-4/3 = -1.33333333333
-2/3 = -0.66666666666
-5/9 = -0.55555555555
-0.555+(-1.333)-0.666
= -2.554
Step-by-step explanation:
[tex] - \frac{5}{9} + ( - \frac{4}{3} ) - \frac{2}{3} = - \frac{23}{9} [/tex]
First deal with the bracket to get
[tex] - \frac{5}{9 } - \frac{4}{3} - \frac{2}{3} [/tex]
Next, find the L.C.M which is 9
[tex] \frac{ - 5 - 4 \times 3 \times - 2 \times 3}{9} [/tex]
[tex] \frac{ - 5 - 12 - 6}{9} = - \frac{23}{9} [/tex]
Jimmy needs to rent a banquet hall for a charity dinner. Facility A charges customers a one-time fee of $500 plus $15 for every meal. Facility B charges customers a one-time fee of $1000 plus $5 for every meal.
Which inequality can be used to find m, the minimum number of meals that can be served so that the total charge at Facility A is less than the total charge at Facility B?
#1. 500+15m<1000+5m
#2. 500+15m>1000+5m
#3. 500m+15<1000m+5
#4. 500m+15>1000m+5
WILL MARK BRAINLIEST ASAP PLEASE
the number of calories ,c, burned while walking is directly proportional to the distance ,d , a person walks. Tom burned 180 calories walking a distance of 2 miles.
which equation represents this relationship
A) c=180+d
B) c=90d
C) d=90+c
D) d=180c
please help if you for sure know, this is part of a big test
Answer:
b
Step-by-step explanation:
90×(2)
= 180
each mile is equal to 90 calories
therefore 2 miles is equal to 180
Which expression is equivalent to 7x + 5x?
a. 12x
b.12x^2
c. 35x
d. 35x^2
Answer:
12x
Step-by-step explanation:
what is the answer in simplest form and is it real or imaginary?
Answer:
12.292 or 1.708
Step-by-step explanation:
1#60 - (2 • (x + 7)2 + 4) = 0
2# -2x2 - 28x - 42 = -2 • (x2 + 14x + 21)
3#x2 + 14x + 21 = -2 • (x2 + 14x + 21) = 0
[tex]\\ \sf\longmapsto -60=2(h+7)^2+4[/tex]
[tex]\\ \sf\longmapsto 2(h^2+14h+49)=-64[/tex]
[tex]\\ \sf\longmapsto h^2+14h+49=-66[/tex]
[tex]\\ \sf\longmapsto h^2+14h+115=0[/tex]
h has imaginary rootsMay I please receive help?
Answer:
it depends on the choices
Step-by-step explanation:
In which direction must the graph of Rx) = 7% be shifted to produce the graph of g(x) = 7% + 7?
O A right
OB. Up
OC. left
OD. down
Answer:
B. Up
Step-by-step explanation:
If you alter a function by adding or subtracting a constant to the end of the expression, then the graph will slide up (down if subtracting) If you alter the x value by altering the expression in close to the x with addition or subtraction the graph will slide left or right.
Vertical translations (sliding up or down) go up when adding and down when subtracting as you would expect it to.
Horizontal translations are the oppoof what you might expect. A (x-h) will shift the graph right, while a (x+k) will shift the graph left.
The answer to your question is UP.
Determine the slope of the line that passes through the points (-8,-4) and (0, -1).
Answer:
3/8
Step-by-step explanation:
(-1-(-4))/(0-(-8))
=3/8
can hellp me with this plzzzzzzz no links plz
Solve the following system of equations.
4x + 7y= 18
- 7x - 8y = -23
X =
y =
im lazy to solve in my paper hope it helps
8(4p + 3) please and thanks
Answer:
32p + 24
Step-by-step explanation:
Distribute the 8 to each term
8 * 4p = 32p
8 * 3 = 24
A recipe requires 2 eggs for every 5 dozen cookies. At this rate, how many eggs are required for 30 dozen
Answer:
12
Step-by-step explanation:
Theres 6 5's in 30. ( 5,10,15,20,25 and 30.)
There is 2 eggs in every 5 dozen cookies, ( 5d, 2, 10d, 4, 15d, 6, 20d, 8, 25d, 10, 30d, 12.) The d means dozen by the way...
I am so sorry if you use this and get it wrong!! I am not good at math!! And i am sorry, this is probably confusing >-<
Write equations for the horizontal and vertical lines passing through the point (4-1)
Answer:
y = - 1 , x = 4
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (4, - 1 ) with y- coordinate - 1 , then
y = - 1 ← equation of horizontal line
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (4, - 1 ) with x- coordinate 4 , then
x = 4 ← equation of vertical line
So the answer is all of that
Answer:
What's the question?
Step-by-step explanation:
Please Help Question in picture
Also please dm me on in sta : yourdealerjeremi
I could use help on a few more questions
Answer:
c) line VR is parallel to line ST
3 ½ pints = ___ cups
Answer:
8.40665 cups
Step-by-step explanation:
hope this is helpful!
HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!
[tex]\left(-\dfrac 16 \right)^2 +\dfrac 58 \left(-\dfrac 19} \right)\\\\\\=\dfrac 1{36} -\dfrac{5}{72}\\\\\\=\dfrac 2{72} - \dfrac{5}{72}\\\\\\=-\dfrac 3{72}\\\\\\=-\dfrac 1{24}[/tex]
Answer:
Step-by-step explanation:
(-1/6)^2 + 5/8(-1/9)= -0.0416
Thus the answer is -1/24
What is 2 + 7?
i have to write 20 characters to get a great answer apparently so just ignore this
Answer:
9
Step-by-step explanation:
I need help with A-G,I,L,N
I hope yall have a merry Christmas
Format of my answer:
[Problem letter] Parallel Lines
- Converse / Reason
!! I am not sure which / what converses you are using, but I gave the reasoning for it. If you see something similar, use the converses you know !!
[a] j & k
- If two lines intersected by a transversal form congruent alternate interior angles, then the lines are parallel
[b] m & n
- If angles are supplementary in this placement, the lines are parallel
[c] l & n
- If angles are equal when they are corresponding, the lines are parallel
[d] l & m
- If two angles that are congruent are vertical, the lines are parallel
[e] j & k
- If two lines intersected by a transversal form congruent corresponding angles, then the lines are parallel
[f] l & n
- If angles are supplementary in this placement, the lines are parallel
[g] l & n
- If two angles that are congruent are vertical, the lines are parallel
[h] -------
[i] l & n
- If two angles that are congruent are vertical, the lines are parallel
[j] -------
[k] -------
[l] j & k
- If two lines intersected by a transversal form congruent corresponding angles, then the lines are parallel
[m] -------
[n] j & k
- If angles are supplementary in this placement, the lines are parallel
[o] -------
-> See attached for more information
Have a nice day! - hopefully these are mostly correct, been awhile since I've done this
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
The two team captains agree to eliminate the halftime interval but one of the players insists on a halftime interval. What decision should the referee make
What the judge should do is adhere strictly to the rules.
This is so because, in case of not abiding by the rules, the referee would be allowing the players to modify the sport at will, which would go against the stability of the game and the predictability of the rules.
Therefore, in case the captains want to modify the rules, in any case they should contact the governing association of the sport to request said modifications.
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The referee will have to allow halftime interval as a result of one of the
players wanting it.
Every sport has rules which guides the game to ensure fair play and prevent
confusion from happening. Referee decisions are based on the rule of the
game but can also be negotiated.
In this scenario, if all the players wanted eliminate the halftime interval, it
could have been honored .But in this case, the referee has to follow the rules
of the game due to the other player disagreeing with the suggestion.
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if a car travels for 3 hours its average speed is 75km/h work out the total distance the car travels
Answer:
225 km
Step-by-step explanation:
75 · 3 = 225
Answer:
225 km
Step-by-step explanation:
Distance = Speed × Time
Distance = 75km/h × 3
Distance = 225km
Solve the expression then name the polynomial
If f(x) = 2x – 3 and g(x) = 3x2
– 2x + 6 then what is (f + g)(x)?
29) What is the slope of the line x = -5?
Answer:
The slope is undefined.
Step-by-step explanation:
x=-5 is not a function, therefore, the slope would be undefined.
What is th eslope of the graph if it has these coords?
(1,2) and (3,-1)
Jenny wants to build a concrete patio that will be 8 meters by 11 meters
Therefore, the total cost of the patio is $352.
Hoped this helped!
[tex]BrainiacUser1357[/tex]
Help Asap I am stuck
suppose the value of an investment increases 12% per year and the investment has a current value of 33,00.00 which equation models the value of this investment after x years?
Answer:
bro pls someone hurry i need help
Step-by-step explanation:
Based on the information marked in the diagram, AABC and ADEF must be congruent.
True or false
We conclude that the triangles are congruent, so the statement is true.
Are the two triangles congruent?We can see two right triangles ABC and DEF.
In the diagram, we can see that BA = CE, and BC = EF.
And because both are right triangles, we can conclude that FD is equal to AC.
So the 3 sides are equal in both triangles, then we can conclude that the triangles are congruent.
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solve the equation below.
2/3 (9x - 12) - 6x
48
Step-by-step explanation:
idek I just need tge points so don't put what I put
Answer:
-8
Step-by-step explanation:
1. Simplify
2/3 (9x - 12) -6x —-> 2 (9x - 12) -6x/3
2. Distribute
2(9−12)/3 -6x
18x - 24/3 -6x
3. Find common denominator
18 −24/3 + 3(-6)x/3
4. Combine fractions with common denominator
18−24+3(−6)/3
5. Multiply the numbers
18−24+3(−6)/3 ——> 18−24−18/3
6. Combine like terms
18−24−18/3 ——> -24/3
7. Cancel terms that are in both the numerator and denominator
−24/3
−8
Hope it helps! Have a great day! :D
Points A, B and C lie on a circle, centre O.
Angle AOC = 142°.
Find the value of y.
The value of the angle [tex]y[/tex] within the quadrilateral [tex]OABC[/tex] inscribed the circle is 142°.
Let suppose that quadrilateral [tex]OABC[/tex] is a parallelogram. Then, the following conditions must be fulfilled:
[tex]\overline {OA} \cong \overline {BC}[/tex] [tex]\overline{AB} \cong \overline{OC}[/tex] [tex]\angle AOC \cong \angle ABC[/tex]In addition, if we have a rhombus we have the additional condition as A, B and C lie on the circle:
[tex]\overline{OA} \cong \overline {AB} \cong \overline {BC} \cong \overline{OC}[/tex] (4)
If we know that [tex]\angle AOC = 142^{\circ}[/tex], then the value of [tex]\angle ABC = y = 142^{\circ}[/tex].
Based on all these finding, we conclude that the value of the angle [tex]y[/tex] within the quadrilateral [tex]OABC[/tex] inscribed the circle is 142°.
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Seven less than three times the sum of a number and 5 is at least 11 Find all the number that satisfy this condition
Answer:
x <= -6.33333
(>= is greater than or equal to)
(<= is less than or equal to)
Step-by-step explanation:
7 - 3(x+5) >= 11
7 - 15 - 3x >= 11
-8 - 3x >= 11
-3x >= 19
x <= 19/-3
x <= -6.33333
please mark brainliest
The inequality 3(x + 5) - 7 ≥ 11 is satisfied for this x ≥ 1 condition.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Seven less than three times the sum of a number and 5 is at least 11.
The sum of the a number (x) and 5 is given as,
⇒ (x + 5)
Three times the sum of a number and 5 will be given as,
⇒ 3(x + 5)
Seven less than three times the sum of a number and 5 will be
⇒ 3(x + 5) - 7
Seven less than three times the sum of a number and 5 is at least 11. Then the inequality will be
3(x + 5) - 7 ≥ 11
Simplify the inequality, then the value of x will be
3(x + 5) ≥ 18
x + 5 ≥ 6
x ≥ 1
The inequality 3(x + 5) - 7 ≥ 11 is satisfied for this x ≥ 1 condition.
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