[tex] \: \: \: \: [/tex]
[tex]elipse \: \: \: with \: \: the \: \: center (3, - 4)[/tex]
refer to the attachmenthope it helpsThe length of major axis of the ellipse 2√32.
The length of minor axis of the ellipse 2√18.
What is an ellipse?
The standard form of the ellipse is defined as;
x² / a² + y² / b² = 1
Where, a < b
Minor axis of the ellipse = 2a
And, Major axis of the ellipse = 2b
Given that;
The equation of the ellipse is,
(x−3)² / 18 + (y+4)² /32 = 1
Now,
We can compare with the standards form of an equation of ellipse, we get;
a² = 18
a = √18
And, b² = 32
b = √32
Clearly, √18 < √32
That is; a < b
So, The minor axis of the ellipse = 2a
= 2√18
And, The major axis of the ellipse = 2b
= 2√32
Therefore,
The length of major axis of the ellipse 2√32.
The length of minor axis of the ellipse 2√18.
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what is the cost of 12 bottles? explain
Answer:
$24
Step-by-step explanation:
The unit rate is shown to be $2 per bottle. The cost of 12 bottles is 12 times the cost of one bottle. That means the cost of 12 bottles is ...
(12 bottles) × ($2/bottle) = $24
What is the equation of the line that passes through the point (-5, -2) and
has a slope of -6/5
Answer:
y=-6/5x-8
Step-by-step explanation:
Because you know the slope of the line, you can put it into the slope-intercept form equation:
y=-6/5(x) +b
Then plug in the x and y values which are -5 and -2:
-2=-6/5(-5) +b
Now you can solve for b:
-2=6 +b
-8=b
Now that you know b and already have the slope, plug those into the equation:
y=-6/5x -8
PLs help me 30 points in total
Answer:
5. 11 1/12 or 133/12
6. 8/15
Step-by-step explanation:
5. make them have a common denominator and then add
6. multiply 2/3 * 4/5
Solve the division fact:
7 = 56 :
Answer:
the correct answer to the math problem is 8
Step-by-step explanation:
56÷8=7
Jake fills a tank that can hold 200 gallons of water. The tank already has 50 gallons of water in it when Jake starts filling it at the rate of 10 gallons per minute. Karla fills a tank that can hold 300 gallons of water. That tank already has 100 gallons of water in it when Karla starts filling it at the rate of 5 gallons per minute. Jake and Karla start filling the tanks at the same time. How long after they start filling the tanks do the tanks have the same volume of water? What is that volume of water? I
Answer:
Let m represent the number of minutes.
Amount of water in Karla's tank: 100 + 5m
Amount of water in Jake's tank: 50 + 10m
Same amount of water: 100 + 5m = 50 + 10 m
---> 100 = 50 + 5m
---> 50 = 5m
---> 10 = m
In ten minutes, Karla's tank will have 100 + 5(10) = 100 + 50 = 150 gallons.
In ten minutes, Jake's tank will have 50 + 10(10) = 50 + 100 = 150 gallons.
Step-by-step explanation:
hope this helped!
a line passes through the point -8,-3 and has a slope of -3/2. write an equation
Answer:
y = -3/2x - 15
Step-by-step explanation:
Use the slope intercept form y = mx + b to substitute the slope = -3/2 and the point (-8, -3).
y = mx + b
-3 = -3/2(-8) + b
-3 = 12 + b
-15 = b
y = -3/2x - 15
Solve 4 | x + 7 |= 24.
Answer
either 168 or 164thats all i can tell you
Step-by-step explanation:
I need help with this please
Answer:
see attached
Step-by-step explanation:
boundary line
When graphing, it can be useful to have the equation in slope-intercept form. You can get that by solving for y.
4y ≤ -5x -4 . . . . subtract 5x from both sides
y = -5/4x -1 . . . . divide both sides by 4
This tells you the slope is -5/4, and the boundary line crosses the y-axis at y = -1. The slope is the ratio of rise to run, so -5/4 tells you the line will go down 5 units for each 4 unit to the right. That is, points (4, -6) and (-4, 4) will be on the line.
line type and shading
The "or equal to" part of the inequality symbol (≤) tells you that the boundary line will be solid, not dashed.
The "less than" part of the symbol tells you that the values of x and y are less than those on the boundary line, so shading will be to the lower-left. The graph is shown in the attachment.
_____
Additional comment
You can determine the location of the shading by looking at any variable term that has a positive coefficient, and its relation to the inequality symbol. Here, that could be either of ...
5x ... ≤ ...4y ... ≤ ...These tell you that x- and y-values in the solution set are less than those on the line, so shading will be left of (x<) or below (y<) the line. (In rare cases where all of the variable coefficients are negative, you can multiply the equation by -1 and reverse the inequality before you make this analysis.)
rachel got prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 22 cents per yard. If after that purchase there was $19.88 left on the car, how many yards of ribbon did rachel buy.
Answer:
46 yards.
Step-by-step explanation:
Subtract the new balance from the original balance:
30.00 - 19.88 = 10.12
Therefore, Rachel spent $10.12
Divide the result by the cost of ribbons per yard:
10.12 ÷ 0.22 = 46
Therefore, Racheal bought 46 yeards of ribbon.
Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many tala would she get if she exchanged $6?
Answer:
18 Tala
Step-by-step explanation:
6/2= 3
3*6= 18
18 Tala
Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
Both still have the same profit. $2 for sandwiches and $3 for wraps. The only reason why there is a difference in the total amount is the change in number of sandwich or wrap sold in a given month. Therefore, next month's total sale is higher than last month's total sale making it safe to assume that the sale of sandwich or wrap is higher than last month's sale.
{hope this helps}
System of equation
Value of b
7. Un cuerpo desliza hacia abajo con velocidad constante por un plano inclinado a un ángulo de 22º. Luego es lanzado en sentido contrario por el mismo plano con una velocidad inicial de 4.0 m/s. a) ¿Qué distancia subirá por el plano antes de detenerse? b) ¿Deslizará nuevamente hacia abajo?AYUDAAAA ES PARA HOY!!!
The distance travelled across the slant will be -
h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.
What is resolution of vectors?If we take a single vector we can find a pair of vectors at right angles to each other that would combine to give the single original vector. This reverse process is called resolution or resolving vectors.
Given is that body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s.
[A] -
We can write the total distance covered along the slant as a function of [x] and [y] components as -
h = h[x] i + h[y] j
Now -
h[x] = 4tcos(22°)
Now -
F = ma
F = m{dv/dt}
Fdt = mdv
mg sin(22°)dt = mdv
dt = {1/g sin(22°)}dv
∫dt = ∫ {1/g sin(22°)}dv
t = v/g sin(22°)
So, we can write -
h[x] = 4 cos(22°)v/g sin(22°)
h[x] = {4v/g}{cot (22°)}
Similarly -
h[y] = 4t'cos(22°)
F = ma
F = m{dv/dt}
Fdt = mdv
N cos(22°) - mg = F
{N cos(22°) - mg}dt' = mdv
{mg cos(22°) - mg}dt' = mdv
{g cos(22°) - g}dt' = dv
dt' = dv/{g cos(22°) - g}
∫dt' = ∫dv/{g cos(22°) - g}
t' = {v/g(cos(22°) - 1)}
So -
h[y] = 4 x {v/g(cos(22°) - 1)} x cos(22°)
h[y] = {4v/g(cos(22°) - 1)} cos(22°)
So -
Distance travelled across the slant -
h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}²
[2] -
Yes, it will slide down again.
Therefore, the distance travelled across the slant will be -
h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.
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{Question in english language -
A body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s. a) How far will it go up the plane before stopping? b) Will it slide down again? HELP IS FOR TODAY!!!}
6x-36+120=180
what is the value of x, in degrees?
Describe the graph x = 2.
Group of answer choices
Horizontal line that goes through the point (0,2).
Vertical line that goes through the point (2,0).
Diagonal line that goes through point (0,2).
Diagonal line that goes through the point (2,0).
Answer:
3rd is the answer!! Hope this helps
Karla is reading about a type of single-celled microorganism that can live inside the human body. This type of organism can be either harmful or harmless to people, depending on the type. One harmless type lives in the intestines and helps the body digest food. One harmful type can cause strep throat. Which type of organism is Karla most likely reading about?
If you roll two fair six-sided dice what is the probability that the sum is:
Answer: If you roll two fair six-sided dice, the probability that the sum is 5 or lower is 5/18.
Explanation: Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x
Let ‘x’ be the number on the first dice.
‘Y’ be the number on second dice.
We have to find the probability that the sum is 5 or lower i.e. (x + y) <= 5.
Total number of possible results from two six-sided dice is 6 × 6 = 36.
The possible results that the sum is lower than 4 is (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2) and (4,1).
Number of possible results for the sum is 5 or lower is 10.
The probability that the sum is 5 or lower = 10/36
=5/18
Therefore, the probability that the sum is 5 or lower is 5/18.
How is solving −7x = −10.5 different from solving − 1 7 x = −10.5? How are the solutions related? Complete the explanation.
Over the summer, Regan started studying Russian with an app and completed 5 lessons. Now that school has started, she will work more slowly, completing 1 lesson per month.
Write an equation that shows how the total number of lessons Regan has completed, y, depends on how many months of the school year have passed, x.
Answer:
y=x+5
Step-by-step explanation:
if you mean how many she completed INCLUDING the 5 over the summer
Pls help me rn bec sue tmr pls pls
Answer:
Number of 1-cm cube 24. Volume of solid 24 cm^2
Step-by-step explanation:
Roger is paid $50 to sell videos of a play to an audience after the play is performed.
He also receives $2 for each video he sells. The equation E=50+2v
E=50+2v
models the amount of money Roger earns selling v videos. The play's audience consists of 230 people.
What is the practical range of the equation?
Question options:
The set of all even integers greater than or equal to 50 and less than or equal to 510
The set of all integers greater than or equal to 50 and less than or equal to 510
The set of all real numbers greater than 0 and less than 230
The set of all real numbers greater than 50
The set of all even integers greater than or equal to 50 and less than or equal to 510
In other words, [tex]0 \le E \le 510[/tex] where E is an even integer.
===========================================================
Explanation:
The domain is the set of allowed inputs, while the range is the set of allowed outputs. For now, let's focus on the domain.
In this case, the domain is the set of integers between 0 and 230. We're dealing with the set {0,1,2,..., 229, 230} to represent the possible number of people who bought the video.
Let's plug in the smallest item from the domain (v = 0).
E = 50+2v
E = 50+2*0
E = 50+0
E = 50
This matches with the fact Roger gets paid $50 even if he didn't sell anything. This is the flat up front fee he got.
Now let's plug in the largest value for v (230).
E = 50+2v
E = 50+2*230
E = 50+460
E = 510
This tells us that $510 is the most Roger can get from the audience of 230 people. This is assuming that each person buys only one copy.
So we can see that the range of E values spans from $0 to $510.
Furthermore, notice that 2 can be factored from 50+2v to get 2(25+v). This shows that the expression 50+2v is always even. Therefore, we must clarify that we're dealing with the set of even numbers between 0 and 510
In symbolic form, we'd say [tex]0\le E \le 510[/tex] where E is an even integer.
In roster form, the range of possible E values is {0, 2, 4, ..., 506, 508, 510}.
Answer: the answer is A
Consider the complex number 5 + 0.45i What is the real part of this complex number?
Answer: 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
A complex number in the form z = a + bi , then
the real part of z is a and b is the imaginary part
For 5 + 0.45i
where 5 is the real part
HELP!!!
‐9z = ‐207
Please solve this with math explanations and NOT just the answer! Whoever explains first will get brainly!
Answer:
23
Step-by-step explanation:
this is because
the equation is saying -9time something = -207
so
you would -207 divided by -9
which gives you 23
so
z=23
A container holds 4 gallons of lemonade. A large lemonade contains 16 ounces. How many large lemonades could a restaurant sell before they run out of lemonade?
Answer:
32 large lemonades
Step-by-step explanation:
4 gallons = 512 ounces
512 ounces / 16 ounces
= 32 large lemonades.
thank you in advance to whoever answers !!!!
Answer:
answer c would be correct because the model both moved and rotated.
PLEASE HELP ASAPP!!!! I’LL GIVE BRAINLIEST!! PLEASE HELP QUICKLY!
1. A pet store purchases dog food from a supplier in the local community for $20 per bag. If the store adds a 10% markup to the dog food, how much will a customer have to pay for a bag?
2. Jimmy's shop recently imported a new PlayStation game. The game originally cost $25, and for the company to make a profit they sell the game with the price increased by 40%. How much do they sell the game for?
Answer:1. 22
2. 35
Step-by-step explanation:
Answer:
1. $18.00 2. $15.00 your welcome and i hope it helps
Step-by-step explanation:
Need help with the answer it’s confusing
16±0.12
Step-by-step explanation:
%uncertainity=uncertainity÷measured value×100%
0.75×16=100x
x=12÷100
x=0.12
ANS;16±0.12
what is the equation of the line that passes through the point negative -5, 7 and has a slope of -2/5
Answer: The equation of the line that passes through the point negative -5, 7 and has a slope of -2/5 is y = -0.4x + 5.
Kelly and her mom like to travel to different states. Kelly's mom has visited 32 states. That is 4 times as many states as Kelly has visited.
How many states has Kelly visited?
32 / 4 = 8
When it states that her mom visited x 4 the amount of states as her, divide the amount her mom has visited by 4 and find out how many states Kelly visited.
32 / 4 = 8
So, Kelly has visited 8 states.
What are the solutions to the equation (x-1)(x+2)=-2?
Method used:-
Completing the square method.
Steps :-
[tex]( x - 1 ) ( x + 2 ) = - 2\\x^{2}+x-2=-2 \\x^{2}+x=-2+2 \\x^{2}+x=0[/tex]
Now, make the left hand side of the equation by adding the square of ½ to both sides of the equation.
[tex]x^{2}+x+\left(\frac{1}{2}\right)^{2}=\left(\frac{1}{2}\right)^{2} \\x^{2}+x+\frac{1}{4}=\frac{1}{4} \\\left(x+\frac{1}{2}\right)^{2}=\frac{1}{4} \\\sqrt{\left(x+\frac{1}{2}\right)^{2}}=\sqrt{\frac{1}{4}} \\[/tex]
Simplify the equation. You'll get a +ve & -ve value.
[tex]x+\frac{1}{2}=\frac{1}{2} \\x+\frac{1}{2}=-\frac{1}{2}[/tex]
Simplify it further.
[tex]\boxed{\sf\:x=0}\\ \boxed{\sf\:x=-1 }[/tex]
The solutions are :-
x = 0 & x = -1
______
Hope it helps ⚜