Which points are the verticles of the ellipse? Equations of ellipse
Answer:
This question is solved in detail below. Please refer to the attachment for better understanding of an Ellipse.
Step-by-step explanation:
In this question, there is a spelling mistake. This is vertices not verticles.
So, I have attached a diagram of an ellipse in which it is clearly mentioned where are the vertices of an ellipse.
Vertices of an Ellipse: There are two axes in any ellipse, one is called major axis and other is called minor axis. Where, minor is the shorter axis and major axis is the longer one. The places or points where major axis and minor axis ends are called the vertices of an ellipse. Please refer to the attachment for further clarification.
Equations of an ellipse in its standard form:
[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1[/tex]
This is the case when major axis the longer one is on the x-axis centered at an origin.
[tex]\frac{x^{2} }{b^{2} } + \frac{y^{2} }{a^{2} } = 1[/tex]
This is the case when major axis the longer one is on the y-axis centered at an origin.
where major axis length = 2a
and minor axis length = 2b
Make x the subject of r=√x-5
Answer:
x = r² + 5
Step-by-step explanation:
Given
r = [tex]\sqrt{x-5}[/tex] ( square both sides to clear the radical )
r² = x - 5 ( add 5 to both sides )
r² + 5 = x
A cell phone plan charges $39.95 a month plus 15 cents per text message sent and 15 cents per text message received. Using s to represent the number of text messages sent in one month and r to represent the number of text messages received in one month, the following equation can be used to calculate the total monthly cost, c:
c = 39.95 + 0.15(s + r)
If it is known that the total monthly cost is $53.45 and 63 text messages were received, solve for s, the total number of text messages sent.
Answer:
c= 39.95 +0.15 (s + r) (take the 63 received and plug it in for r and 53.45 in for c then solve)
53.45= 39.95 +0.15 (s +63) (use the distributive property)
53.45 = 39.95 + 0.15s + 9.45 (combine like terms on the right side)
53.45 = 49.40 +0.15s (subtract 49.40 from both sides)
4.05 = 0.15s (divide both sides by 0.15 so isolate s)
s= 27 (how many text messages were sent)
Step-by-step explanation:
I hope this helps :)
Answer:
s=27
Step-by-step explanation:
If you had a choice between investing $1,000 in a mutual fund that are 7.5% compound interest or a bond that earns simple interest at 7.5% which would you prefer and why
Answer:
mutual fund
Step-by-step explanation:
Step one:
given data
let say the investment plan will span for 5 years
so for mutual fund
P= $1000
r= 7.5%= 0.075
t= 5
compound interest
A= P(1+r)^t
substituting
[tex]A= 1000(1+0.075)^5\\\\A=1000(1.075)^5\\\\A=1000*1.436\\\\A=$1436\\\\[/tex]
$1436
so for bond
P= $1000
r= 7.5%= 0.075
t= 5
simple interest
A= P(1+rt)
substituting
[tex]A= 1000(1+0.075*5)\\\\A=1000(1+0.375)\\\\A=1000(1.375)\\\\A=1375\\\\[/tex]
A=$1375
$1375
I would go for mutual fund compounded interest because it offers extra
$61 (1436-1375) for the same investment capital
is a stockbroker. Earns % commission each week. Last week, sold $ worth of stocks. How much did make last week in commission? If averages that same amount each week, how much did make in commission in 2011?
Answer:
a. $583
b. $30,316
Step-by-step explanation:
a. Commission last week;
= 5,300 * 11%
= $583
b. Commission in 2011 assuming weekly earnings of $583.
= 583 * 52 weeks
= $30,316
find the slope of the line passing through the given points
Answer:
-5/6
Step-by-step explanation:
Slope= y2-y1/x2-x1
Answer:
The slope is -5/6
Step-by-step explanation:
You can use the method rise over run and count how many squares it takes to go from the y coordinate 4 to the y coordinate -1, which is -5. You can then count how many squares you need to get from the point -3 to 3 which is 6. Or you can use the formula to find slope, (y2-y1)/(x2-x1) and plug in you numbers.
The following equation has two different solutions. Solve the equation and place one solution in each answer box. The LARGER answer goes in Box1. The SMALLER solution should go in Box2. Solve for x : x 2 + 11 x + 18 = 0
Answer:
would that be 31 if if im wrong im just nine Step-by-step explanation:
(16x^2 + 27x)/ 6x
Is this in the simplest form?
[tex] \frac{16 {x}^{2} + 27x}{6x} [/tex]
[tex] \frac{ {16x}^{2} }{6x} + \frac{27x}{6x} [/tex]
[tex] \frac{16x}{6} + \frac{27}{6} [/tex]
[tex] \frac{16x + 27}{6} [/tex]
I need help with this, I CANNOT get this wrong.
Answer:
Transitive
Step-by-step explanation:
If A = B and B = C then A = C
Transitive
I need help with geometry
Answer:
Segment QR is the shortest
Answer:
qr
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the blue
graph?
A. g(x) = (x+4)^2
b. g(x) = x^2-4
c. g(x) = x^2+4
d. g(x) = (x-4)^2
(D) [tex]g(x)=(x-4)^{2}[/tex]
Graphs:The set of ordered pairings (display style [tex](x,y)[/tex]) of a function (display style [tex]f(x)=y[/tex]) in mathematics is known as the graph of that function. These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the typical case where "display style [tex]x[/tex]" and "display style [tex]f(x)[/tex]" are real values.Graph equations:Equations with graphs as the unknowns are known as graph equations in graph theory. The concept of isomorphism is one of the key issues in graph theory. Different graph equations may be used to express the aforementioned graphs.Therefore, the correct equation for the blue graph is [tex]g(x)=(x-4)^{2}[/tex].
Know more about the Graphs here:
https://brainly.com/question/4025726
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there are two food trucks for sale that would be perfect for your business. the blue food truck is in perfect condition, but 8,000 more than the green food truck. The green food truck is in need of repairs to make it fully functional. The two trucks together cost 172,000. How much does each food truck cost
Answer:
blue truck-$82000 green truck-$90000
Step-by-step explanation:
x+8000=y
x+y=172000
Leslie used 25% of a half-gallon of milk for a recipe. How many ounces of milk were left?
Answer:
One moment...I'm figuring it out...the answer is 48 ounces.
Step-by-step explanation:
Which mixed number is equivalent to the improper fraction?
23/8
A. 2 1/8
B. 2 7/8
C. 3 1/8
D. 3 7/8
Answer:
B: 2 7/8
Step-by-step explanation:
The middle school dance team had 2 separate car washes on Saturday to raise money for new uniforms. The Main Street location raised $50 more than the Back Street location. How much did the dance team raise at each location if they raised a total of $980?
Answer:
$465 at Back Street
$515 at Main Street
Step-by-step explanation:
980 (total) - 50 (the difference between the two) = 930
930/2 = 465 (back street)
465 + 50 (the difference) = 515 ( main street)
CHECK: 465 + 515 = 980
The probability of rolling a 6 on a number cube is 1/6. What is the complement of rolling a 6
Answer:
5/6
Step-by-step explanation:
The complement of rolling 6 will be all the possible outcomes except rolling 6 which is 5/6
9. Write the Equation of the Graph. Y =
Answer:
y=1/2x+2
Step-by-step explanation:
I mark brainliest! please help!
which graph shows all the values that satisfy 2/9x+ 3> 4 5/9
Answer:
The first option
Step-by-step explanation:
2/9 x + 3 > 4 5/9
2/9x > 4 5/9 - 3
2/9x > 14/9
x > 14/9 ÷ 2/9
x > 7
height up to 46 decimeter convert it's height in meters
Answer:
6.5m
Step-by-step explanation:
65/10 = 6.5m
hope u can understand...
Answer:
4.6 meter
Step-by-step explanation:
you can convert decimeter to meter by dividing 10
Meghan ran 9/12 of a mile and skipped 8/12 of a mile how far around the track did meghan go in total. Use the benchmark fraction 1/2, 1, and 0 to help you estimate each answer before you solve
Answer:
Megan went a total distance of 1 5/12 miles
Step-by-step explanation:
Here, we want to calculate the total distance worked around the track
We are told that she ran 9/12 and skipped 8/12
The total distance around the track will be the sum of these two
Mathematically, that will be;
9/12 + 8/12
= 17/12 = 1 5/12
1. In 24. 68, the digit
is in the hundredths place.
2. In 2.942, the digit is in the thousandths place.
3. In 45.3165, the digit 1 is in the
place
4. In 22.5608, the digit 8 is in the
place.
5. In 821.9034, the digit 3 is in the
place.
Exercise 3: Write the place value and value of number 8. Fi
Place Value
Example:
99.3428
Ten Thousandths
0
1) 12.5928
2.) 43.7891
3.) 15.8931
4.) 23.9684
Answer:
wha gh filled out of my friends house to myself I don't want you so very true but I'm going back and
Help please
Thank you!!!!
Look at the photo
Show your work
FIRST TO ANSWER CORRECTLY GETS 22 POINTS AND BRAINIEST
Answer:
We can't even see the whole questions so how do you expect us to awnser it when we can't even see the full questions
Solve for y
8y - 8 = 4x
Answer:y= 1/2x +1
Step-by-step explanation: This is your answer
Answer:
Step-by-step explanation:
8y - 8 = 4x
Add 8 to both sides
8y = 4x + 8
Divide both sides by 8
y = [tex]\frac{4x + 8}{8}[/tex]
A die is rolled 200 times with the following results.
Outcome
1
2
3
4
5
6
Frequency
32
36
44
20
30
38
What is the experimental probability of rolling the given result?
a.
0.88
c.
0.56
b.
0.34
d.
0.44
==========================================================
Explanation:
Add up all the frequencies that correspond to outcomes that are more than 3
So we'll add up the last three frequencies (since they correspond to outcomes of 4, 5 and 6 all of which are greater than 3) to get 20+30+38 = 88
We have 88 occurrences of rolling either a 4, a 5 or a 6. This is out of 200 rolls total.
The empirical (or experimental) probability of getting more than 3 on the die is 88/200 = 0.44
If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 2 miles?
If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 2 miles?
Answer:
3520
Step-by-step explanation:
hope it helps
How is the number in the square root called (number 4) how can I place that in a calculator
The 4 in the symbol is the index of the radical sign √.
Whether you can write this expression on a calculator depends on the calculator... If you have one with a CAS (that is, a "computer algebraic system"), chances are there is a built-in button for things like square roots and cube roots, and possibly roots of higher indices. If not, you can always express a radical expression using a fractional exponent, such as
[tex]\sqrt x\iff x^{\frac12}[/tex]
or
[tex]\sqrt[3]{x}\iff x^{\frac13}[/tex]
or
[tex]\sqrt[4]{x}\iff x^{\frac14}[/tex]
and so on. So the given expression could be typed in as (16*x^6*y^7)^(1/4), for instance.
I'm guessing you have to simplify the given expression. You could end up with
∜(16x ⁶y ⁷) = ∜(2⁴ x ⁴ x ² y ⁴ y ³)
… = 2xy ∜(x ² y ³)
(assuming x and y are positive)
The endpoints of a side of rectangle ANCD in the coordinate plane are at A(3,5) and B(5,1). Find the equation of the kind that contains the given segment. The line segment is AB.
The equation is y=
PLEASE HELP VERY URGENT :(
Answer:
The equation of the line segment AB is:
[tex]y = -2x+11[/tex]
The graph of the line segment AB is also attached.
Step-by-step explanation:
Given the points
A(3,5)B(5,1)Determining the slope between A(3,5) and B(5,1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(3,\:5\right),\:\left(x_2,\:y_2\right)=\left(5,\:1\right)[/tex]
[tex]m=\frac{1-5}{5-3}[/tex]
[tex]m=-2[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = -2 and the point (3, 5) in the equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 5 = -2(x-3)[/tex]
[tex]y-5 = -2x+6[/tex]
[tex]y = -2x+6+5[/tex]
[tex]y = -2x+11[/tex]
Therefore, the equation of the line segment AB is:
[tex]y = -2x+11[/tex]
The graph of the line segment AB is also attached.
be the first to answer and u will get a brainlliest
Answer:
Step-by-step explanation:
go on mathify and ask
hurrryyyyy please :))
Answer:32
Step-by-step explanation:
Answer:
32, Trust me mate, Its 32