The equations of the directrices are x = -4.6 and x = 4.6, which are the lines that best approximate the directrices of the ellipse.
To find the directrices of an ellipse, we first need to determine its foci. The foci are located along the major axis, and they are equidistant from the center of the ellipse. The distance from the center to each focus is given by c = sqrt(a^2 - b^2), where a and b are the lengths of the major and minor axes, respectively.
From the equation \(x^2/20 + y^2/9 = 1\), we can see that \(a^2 = 20\) and \(b^2 = 9\). Therefore, c = sqrt(20 - 9) = sqrt(11).
The foci are located at (-sqrt(11), 0) and (sqrt(11), 0). The directrices are perpendicular to the major axis and located at a distance of c from the center. Therefore, the equations of the directrices are:
x = -4.6 and x = 4.6, which are the lines that best approximate the directrices of the ellipse.
Note: the other options y = -4.6 and y = 4.6, and x = -3.5 and x = 3.5 are not correct as they do not intersect the foci of the ellipse.
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WILL GIVE BRAINLEST
(dont worry about the name just put joe for the name)
1. Answer the following questions.
Questions
What is an amount between $2 and $10? (A) __________
What is an amount between $10 and $20? (B) __________
What is an amount greater than $50? (C) __________
What is your name? (D) ____________________
What is the name of an item that you will buy only once? (E) ____________________
What is the name of an item that you will buy more than once? (F) ____________________
2. Create a word problem that leads to an inequality by filling in the blanks with your corresponding answers.
Word Problem
(D) ____________________ is going shopping for (E) ____________________ and (F) ____________________. The cost of (E) ____________________ is (B) __________ and the cost of each (F) ____________________ is (A) __________.
If (D) ____________________ can spend at most (C) __________, how many (F) ____________________ can be purchased?
3. Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
5. Explain what the solution means in the context of the word problem.
The questiοn is an illustratiοn οf inequalities and mathematical οperatiοns the amοunt between $2 and $10 is $8.
The amοunt between $10 and $20 is $10
$100 is greater than $50
What is inequality?In mathematics, an inequality is a cοnnectiοn that is nοt equal between twο expressiοns οr values. Cοnsequently, imbalance leads tο inequity. In mathematics, an inequality cοnnects twο unrelated values. Inequality is distinct frοm equality. When twο values are nοt equal, the nοt equal sign is mοst usually used ().
Variοus inequalities are emplοyed tο cοntrast values, nο matter hοw small οr huge. Many basic inequalities can be sοlved by altering the twο sides until the variables are all that remain. Yet, a variety οf factοrs cοntribute tο inequality: Negative values οn bοth sides are split οr added. Trade οff the left and right.
(a) Amοunt between $2 and $10.
The amοunt is calculated as:
Hence, the amοunt between $2 and $10 is $8
(b) Amοunt between $10 and $20.
The amοunt is calculated as:
Hence, the amοunt between $10 and $20 is $10
(c) Amοunt greater than $50.
An amοunt greater than $50 is an amοunt that have an higher value.
Take fοr instance: $100
$100 is greater than $50, because it has a higher value.
There is nο enοugh infοrmatiοn tο sοlve the οther questiοns
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Given that f(x) = 4x - 3 and g(x) 2x-1 divided by 3
solve for g(f(2))
Answer:
2nd option = 3 is the answer.
12. Determine the rule of the quadratic functionſ
given the following information:
• When f(x) = ax^2+ bx+c, b2 = 4ac
• f(x) bigger than or equal to 0 for XER
• f(x) has an axis of symmetry of x = -5
• f(-1)=4
Answer:
f(x) = ¼ x² + ⁵/₂ x + ²⁵/₄
Step-by-step explanation:
b² = 4ac, so the discriminant is 0. That means the quadratic has a repeated root, which is the vertex.
f(x) has an axis of symmetry of x = -5. That means the x-coordinate of the vertex is -5.
So f(x) = a (x + 5)².
f(-1) = 4, so the value of a is:
4 = a (-1 + 5)²
4 = 16a
a = ¼
The function is f(x) = ¼ (x + 5)². Converting to standard form:
f(x) = ¼ (x² + 10x + 25)
f(x) = ¼ x² + ⁵/₂ x + ²⁵/₄
WILL GIVE BRAINLIEST What is the slope of the table shown?
3
5
1
2
Answer:
2
Step-by-step explanation:
Slope is the change in y over the change in x
m = ( y2-y1)/(x2-x1)
= ( 7-1)/(3-0)
= 6/3
=2
can you apply the properties of rational exponents to an example?
We can simplify \((16x^4)^(-1/2) to 1/(4x^2)\) using the properties of rational exponents.
Certainly! Here's an example:
Simplify the expression: \((16x^4)^(-1/2)\)
We can apply the property of rational exponents which states that \((a^m)^n = a^(m*n)\). Using this property, we get:
\((16x^4)^(-1/2) = 16^(-1/2) * (x^4)^(-1/2)\)
Next, we can simplify \(16^(-1/2)\) using the rule that \(a^(-n) = 1/a^n\):
\(16^(-1/2) = 1/16^(1/2) = 1/4\)
Similarly, we can simplify \((x^4)^(-1/2)\) using the rule that \((a^m)^n = a^(m*n)\):
\((x^4)^(-1/2) = x^(4*(-1/2)) = x^(-2)\)
Substituting these simplifications back into the original expression, we get:
\((16x^4)^(-1/2) = 1/4 * x^(-2) = 1/(4x^2)\)
Therefore, the simplified expression is \(1/(4x^2).\)
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Describe shock ads then provide an example of a shock ad, which
you feel is effective.
Shock advertisement are a type of advertising strategy that aims to provoke strong emotional responses from viewers by presenting controversial, shocking, or disturbing content.
An example of a shock add is Poking fun at events
What are shock advertisement?By displaying content that is debatable, surprising, or upsetting, shock advertisement try to elicit strong emotional reactions from their target audience.
The goals of shock advertisements are to draw attention, leave a lasting impression, and elicit conversation about the good or message they are promoting.
These commercials frequently defy accepted norms, step outside of the box, and employ vivid imagery or provocative storytelling approaches.
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If one earthquake is 20 times as intense as another how much latger is its magnitude on the richter scale?
The magnitude of the larger earthquake is about 1.3 greater than the magnitude of the smaller earthquake.
In physics, significance is defined actually as “distance or quantity.” It depicts the absolute or relative course or size wherein an object moves within the sense of motion. it's miles used to express the scale or scope of something. In physics, importance normally refers to distance or quantity.
Magnitude is described as big in size or very vital. An example of value is the depth of the Grand Canyon. An instance of importance is the dimensions of the trouble of world hunger. (geology) A measure of the amount of energy launched by using an earthquake, as indicated on the Richter scale.
The magnitude is more than a few that characterizes the relative size of an earthquake. value is primarily based on the measurement of the maximum movement recorded with the aid of a seismograph.
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4. There are major chords built on what three notes (with all white notes and no accidentals)? O CFG O ABC GEB OCDE
The three major chords built on white notes without accidentals are:
1. C major chord (C, E, G)
2. F major chord (F, A, C)
3. G major chord (G, B, D)
These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.
Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.
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A boat travel 448 km using 112 litres of gasoline.How far can the boat travel using 1 litre of gasoline
Divide total distance by total liters used.
448 km / 112 liters = 4 km per liter.
Using 1 liter of gas the boat can travel 4 km.
Answer:
1 litre = 4 km
Step-by-step explanation:
448/112 = 4/1
Cross multiplication, 448 x 1 divided by 112 = 4
can anyone help me with this geometry question?
Answer:
49-31 gets you da answer
yw
Step-by-step explanation:
A mobile set is sold for Rs 6,630 after a discount of 15%. Find the marked price of the mobile set.
Answer:
MP = RS 7,800
Step-by-step explanation:
Let
Marked price = MP
MP x (100 – 15) / 100 = Rs 6,630
MP × (85)/100 = Rs 6,630
MP = Rs 6,630 ÷ 85/100
MP = 6,630 × 100/85
MP = 663,000/85
MP = 7,800
MP = RS 7,800
Given that y = 4x + c is a tangent to the function f(3) = 3x^2 - 8x + 6, find the value of c.
What is 3.24 (.24 repeating) as a simplified fraction?
As a simplified fraction, we have 107/33
How to determine the fractionNote that fractions are simply described as the part of a whole number or variable.
There are different types of fractions;
Mixed fractionsProper fractionsImproper fractionsSimple fractionsFrom the information given, we get;
3. 24 repeating can be expressed as the sum of 3 and 0. 24
Let x be 3.24
Then, we have;
Multiplying 100 by a certain number results in a repeating decimal of 324. 24
100x = 324.24
After taking the difference between the two equations, we have;
99x = 321.
Make 'x' the subject of formula, we have;
x = 321/99
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On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5).
What is the equation of the line parallel to the given line with an x-intercept of 4?
y =
x =
Answer:
1st: 4
2nd: -16
Step-by-step explanation:
Trust the process
The required equation of the parallel line is 4x + y = 16.
Given that,
On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5), what is the equation of the line parallel to the given line with an x-intercept of 4 is to be determined.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the parallel line,
m = 5 + 3 / -3 + 1
m = 8 / -2
m = -4
Now,
The line has the x-intercept at x = 4,
so the ordered pair will be (4,0)
Point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
y - 0 = -4 (x - 4)
y = -4x + 16
4x + y = 16
Thus, the required equation of the parallel line is 4x + y = 16.
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Exercise 5
A bag of corn can feed 50 chickens for 12 days.
a) For how many days will the same bag feed 40 chickens?
b) How many bags of corn are needed to feed 20 chickens for 30 days?
2. Fifteen men build a wall in five days. How long will it take the following
number of men to build the wall?
al one man
b) 10 men
c) 20 men
3. A 3-year-old girl has six sisters. Her youngest sister is 4 years old.
a) How many sisters did she have when she was 1 year old?
Answer:
Step-by-step explanation:
a) By proportion number of days = 12 * 50/40
= 15 days.
b) Finding the number of bags per day that 1 chicken needs:
50 chickens eat 1 bag in 12 days
so 50 chickens eat 1/12 of a bag in 1 day.
1 chicken eats 1/(12*50) of a bag in 1 day.
20 chickens for 30 days:
20 chickens eats 20(12*50) in 1 day
and in 30 days 20 eat 30*20 / (12*50)
= 1 bag.
2.
a) 5*15 = 75 days
b) (15/10) * 5 = 7 1/2 days.
c) (15/20) * 5 = 3 * 5 /4 = 3 3/4 days.
3. When she was 1 year old her youngest sister was 2 - she had the same number of sisters as when she was 3.
So the answer is 6.
Consider the following current information for Galaxy Inc::
Output = 200 units
ATC = $50
What is the total cost of producing 200 units of output?
a. $10,000
b. $8,000
c. $1,100
d. Non
The answer is (a) $10,000.
How the total cost of producing 200 units of output can be found?The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:
Total Cost = Output x ATC
Total Cost = 200 x $50
Total Cost = $10,000
Therefore, the answer is (a) $10,000.
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A triangle with exterior angles is shown. The bottom right angle of the triangle is (3 h + 18) degrees. The bottom right exterior angle is (15 h) degrees. What is the value of h? h = 1.5 h = 9 h = 10 h = 13.5
Answer:
9
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
In ΔWXY, if m∠W is five less than three times m∠Y and m∠X is 8 more than m∠W, find the measures of each angles?
Answer:
∡W = 73°
∡X = 81°
∡Y = 26°
Step-by-step explanation:
let 'y' = measure angle Y
let '3y - 5' = measure of angle W
let '3y + 3' = measure of angle X
add all together and set equal to 180
y + 3y + 3y - 2 = 180
7y = 182
y = 26
substitute 26 for y in '3y+3' to find measure of angle X
substitute 26 for y in '3y-5' to find measure of angle W
Maureen is making a 3/10 scale drawing of a doll house if a line on the drawing represents 15 inches how long should the line be ?
We have the following ratio scale:
\(\frac{\text{REAL}}{\text{DRAWING}}=\frac{10}{3}\)If we move the DRAWING term to the rght hand side, we get
\(\text{REAL}=\frac{10}{3}\cdot\text{DRAWING}\)In our case, the line is 15 inches long, then we have
\(\text{REAL}=\frac{10}{3}\cdot(15\text{inches)}\)which gives
\(\begin{gathered} \text{REAL}=\frac{10\times15}{3}\text{ inches} \\ \text{REAL}=10\times5\text{ inches} \\ \text{REAL}=50\text{ inches} \end{gathered}\)Therefore, the answer is 50 inches.
please help me I have to submit it tomorrow and please while sending solution write it and send a pic please because I don't understand when someone explains it in the answer
Answer:
A
Step-by-step explanation:
I think
4^5-9x = 1/8^x-2
what is x equals? and the steps
.. please
You can ask where you don't understand.
trigonometric ratios find an angle measure calculator
You can use this trigonometry calculator in two common situations when trigonometry is required. Use the calculator's first section to get the values of sine, cosine, tangent, and their reciprocal functions.
A subfield of mathematics is trigonometry. In particular, it describes and applies the connections and ratios between angles and sides in triangles. Trigonometry largely works with angles and triangles. Thus, solving triangles exactly correct triangles as well as any other kind of triangle you choose is the main application.
Numerous difficulties in daily life, such figuring out the height or separation between two objects, can be solved using trigonometry. Other uses include the satellite navigation system, astronomy, and geography.
Additionally, sine and cosine functions are essential for explaining periodic events; with their help, we can explain oscillatory movements (like those in our straightforward pendulum calculator) and waves like sound, vibration, and light.
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Please help meee for this equation
Answer:
9 (C)
Step-by-step explanation:
sqrt(15^2 - 12^2) =
sqrt(225 - 144) =
sqrt(81) =
9 (C)
Answer:
C. 9m
Step-by-step explanation:
Using the pythagorean theorem, you can find that the length of the last side is \(\sqrt{15^2-12^2}=\sqrt{225-144}=\sqrt{81}=9\). Hope this helps!
An expression is shown.
12 + 6x3 – 7x – 2y
Select the all the statements about the expression that are true.
A The expression has six terms.
B The 5 is an exponent in a term.
C One of the terms is a constant.
D The x is a variable in two terms.
E The coefficient of one of the terms is 2.
(Please hurry)
Step-by-step explanation:
u dj juijjjkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk la llamo y rodillos de la reunión de hoy y rodillos de la reunión de hoy y rodillos de la reunión de hoy
Which cylinder has a volume of 45% cm³?
Answer:
Right cylinder
Step-by-step explanation:
Right cylinder
The position (in meters) of a particle moving along a straight line is given by s(t)=5t2−8t+13, where t is measured in seconds.What is the average velocity on each of the given unit time intervals? ANSWERED
[3,4]= 27 [4,5]= 37
The average velocity for the [3,4] is 27m/s and for [4,5] is 37m/s
The average velocity can be found by taking the derivative of the position function and evaluating it at the midpoint of the interval.
The average velocity on the interval [3,4] is given by (s(4) - s(3)) / (4 - 3), which is equal to (s(4) - s(3)) / 1. Using the position function, s(t) = 5t^2 - 8t + 13, we find that s(4) = 5(4²) - 8(4) + 13 = 61 and s(3) = 5(3²) - 8(3) + 13 = 34. Therefore, the average velocity on the interval [3,4] is (61 - 34) / 1 = 27 m/s.
The average velocity on the interval [4,5] is given by (s(5) - s(4)) / (5 - 4), which is equal to (s(5) - s(4)) / 1. Using the position function, s(t) = 5t² - 8t + 13, we find that s(5) = 5(5²) - 8(5) + 13 = 98 and s(4) = 5(4²) - 8(4) + 13 = 61. Therefore, the average velocity on the interval [4,5] is (98 - 61) / 1 = 37 m/s.
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For a-e, choose Yes or No to tell whether each term is equivalent to
the slope in a proportional relationship.
Answer:
Step-by-step explanation:
Let the equation of a proportional relation is,
y = mx
Here, m = Slope Or proportionality constant of a linear function
a). Constant of proportionality → YES
b). Origin → NO (Since, origin is a point lying on the line)
c). Inverse → NO
d). \(\frac{\text{Rise}}{\text{Run}}\) → Since, ratio of rise and run is equal to the slope of the line.
YES
e). Unit rate → It's ratio of y and x values which is equivalent to the slope.
Therefore, answer is YES.
Juanita wants to model the equation 3 x + 2 = negative x + 6. She begins with the tiles below. 3 x tiles and 2 positive 1 tiles = 1 negative x tile How can Juanita complete her model? Put 4 yellow unit tiles on the left side of the equal sign. Put 4 yellow unit tiles on the right side of the equal sign. Put 6 green x-tiles on the right side of the equal sign. Put 6 yellow unit tiles on the right side of the equal sign.
Answer:
Put 6 yellow unit tiles on the right side of the equal sign.Step-by-step explanation:
Given the equation that Juanita wants to model expressed by the equation
3 x + 2 = -x + 6
If she begins with 3 x tiles and 2 positive 1 tiles = 1 negative x tile, she will b=need to complete her model with put 6 yellow unit tiles on the right side of the equal sign since the only value left at the right hand side of the equation is positive 6
We can as well calculate the value of x from the expression as shown;
3 x + 2 = -x + 6
collect like terms
3x+x = 6-2
4x = 4
Divide both sides by 4
4x/4 = 4/4
x = 1
Answer:
the answer is D put 6 yellow unit tiles
Step-by-step explanation:
i took the test review and test
HELP ME NOW!!!!!!!!HELP ME NOW!!!!!!!!HELP ME NOW!!!!!!!!HELP ME NOW!!!!!!!! OK! WHAT IS THE THING PLUS THAT?
Answer:
girl it is 2
Step-by-step explanation:
Step-by-step explanation:
WRL-15663: The SparkFun ESP32 Thing Plus is the next step to get started with Espressif IoT ideations while still enjoying all the amenities of the original ESP32 Thing. Espressif's ESP32 WROOM is a powerful WiFi and Bluetooth MCU module that targets a wide variety of applications. At the core of this module is the ESP32-D0WDQ6 chip which is designed to be both scalable and adaptive.
What is SSS congruence rules?
SSS congruence rules states that if three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
The SSS (Side-Side-Side) congruence rule states that if three sides of one triangle are equal to the three sides of another triangle, equal, and the two triangles share the same dimensions then the two triangles are congruent. This means that all of the angles and sides of the two triangles are In order for two triangles to be congruent according to the SSS congruence rule, the lengths of the three corresponding sides of the two triangles must be equal. If all three of these conditions are met, then the two triangles are congruent and can be used to solve a variety of geometric problems.
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The SSS congruence rule is rule that is used to prove two triangles congruent . Its full form is Side-Side-Side Congruence .
The Two Triangles can be called as Congruent Triangles if their sides have same length and the angles also have the same measure.
One of the 4 rules in proving the triangles congruent is SSS .
The SSS Congruence Rules also called as (Side-Side-Side) Rule means that if all the three sides of one triangle are equal to the corresponding three sides in the other triangle ,
then we can say that the two triangles are congruent by SSS (Side-Side-Side) Rule .
Therefore , The SSS Congruence rule means Side-Side-Side Congruence .
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