Answer:
2.8
Hope this Helps!
The vertices of an ellipse are (0,-1) and (8,-1). The endpoints of the minor axis are (4,1) and (4,-3). Write the equation of the ellipse in general form
Answer:
x^2+4y^2-8x+8y+4=0
Step-by-step explanation:
The general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.
What is an ellipse?An ellipse can be defined as a shape that looks like an oval circle.
The equation of an ellipse is
[tex]\dfrac{\left(x - h\right)^{2}}{a^{2}} + \dfrac{\left(y - k\right)^{2}}{b^{2}} = 1[/tex]
Where (h, k) is the center a and b are the lengths of the semi-major and the semi-minor axes.
The vertices of an ellipse are (0,-1) and (8,-1).
The endpoints of the minor axis are (4,1) and (4,-3).
The following equations take into account the different properties of an ellipse:
[tex]k = -1k=−1, h^{2} = a^{2}h 2 =a 2 , \left(h - 8\right)^{2} = a^{2}[/tex]
[tex]\begin{cases} b = 2 \\ k = -1 \\ h^{2} = a^{2} \\ \left(h - 8\right)^{2} = a^{2} \end{cases}[/tex]
We get that h = 4 k = -1, a = 4, and b = 2
The standard form of the given ellipse is
[tex]\dfrac{\left(x - 4\right)^{2}}{4^{2}} + \dfrac{\left(y + 1\right)^{2}}{2^{2}} = 1[/tex]
So the general form will be as : x² +4y² - 8x + 8y + 4 = 0.
Thus, the general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.
Learn more about ellipses here:
brainly.com/question/9448628
#SPJ2
Find the product of 9x(-3x²y-7xz)
Answer:
[tex] - 27 {x}^{3} y - 63 {x}^{2} z[/tex]
Step-by-step explanation:
[tex]9x( - 3 {x}^{2} y - 7xz)[/tex]
[tex] = 9x \times ( - 3 {x}^{2} y) + 9x \times ( - 7xz)[/tex]
[tex] = - 27 {x}^{3} y - 63 {x}^{2} z[/tex]
Centipedes have 2 legs per segments the record number of legs on a millipede is 752. Find a range for the number of segments a centipede can have
Answer:
Step-by-step explanation:
From the question we are told that
Centipedes have 2 legs per segment
Record number of 752 legs
Generally the millipede has two legs per segment
[tex]2 legs= 1 segment[/tex]
Therefore
[tex]\frac{752}{2} =376[/tex]
is the is the maximum segment of the millipede
if millipedes have 30 to 752 legs
Therefore
[tex]\frac{30}{2}= 15[/tex]
Given
15,376 leg segments
the range is 15,376
Donell compared the hours students spent each day on social networks to the hours they spent on homework. His data is shown below. Which statements are true? Check all that apply.
2 dots plots. A dot plot titled Number of hours spent on social networks goes from 0 to 4.5. 0 has 3 dots, 0.5 has 5 dots, 1 has 2 dots, 2.5 has 4 dots, 3 has 3 dots, 3.5 has 1 dot. A dot plot titled Number of hours spent on homework goes from 0 to 4.5. 0 has 1 dot, 0.5 has 1 dot, 1 has 4 dots, 1.5 has 8 dots, 2 has 3 dots, and 4.5 has 1 dot.
The mean number of hours spent on each activity are equal.
There is a greater variability in the hours spent on social networks.
The average student spends more time on homework than on social networks.
The range for the number of hours spent on homework is greater.
Students are more consistent in the time spent on homework than the time spent on social networks.
Answer:
A,D,E
Step-by-step explanation:
Lol i took the test on edge and got it correct.
:P
Answer:
the answers are a d and e
Step-by-step explanation:
reglas de la potenciacion
What is 19 52/418 rounded to the nearest whole number?
Answer:
19
Step-by-step explanation:
Bring it down, is it less than half of 418 yes, it is less than 209, so bring it down to 19
Solve for the unknown.
6 - 6X = 12
Answer:
x= -3
Step-by-step explanation:
6 - (-18)=12
Answer:
-1
Step-by-step explanation:
1. -6x = 12-6
2.-6x = 6
3.-6x/-6 = 6/-6
4. x = -1
The number 0.000000675 can be written in scientific notation as 6.75 x 10x.What is the value of x?
Answer:
x= -7
Step-by-step explanation:
hope this helps you!
The value of x in the expressed scientific notation is;
x = -7
We are given the number 0.000000675.
Now, when writing decimals like this, it means a number has been divided by an exponent of 10.
For example; 0.01 is 1/100.
This means we start counting from the the decimal point of the whole number we want to use to the left. The number of counts we make till the end will be the exponent of 10.
Now, in our question, counting to the left from between 6 and 7 gives us 7.
Thus; we have;
6.75/10⁷
But in our question, multiplication is used and not division.
Thus, we have;
6.75 × 1/10⁷
⇒ 6.75 × 10⁻⁷
Comparing with the question gives;
x = -7
Read more at; https://brainly.com/question/16964754
what is the value of s?
____ units
Answer:
s = 17
Step-by-step explanation:
a^2+b^2=c^2
a=8, b=15, c=s
64+225=c^2
289 =c^2
c= 17
Answer:
What are the choices
Step-by-step explanation:
PLz help me i need to get 100
If the ratio of ducklings to mama ducks is 7 to 1 how many ducklings would there be if there were 5 mama ducks? Use a table to solve using ratios!
Help me quickly
Answer:
There would be 35 ducklings
Step-by-step explanation:
If the ratio to baby ducklings to mama ducks is 7 to 1 then the constant of proportionality is 7. So you take the amount of mama ducks and multiply that by 7 you get your answer.
7 x 5 = 35
Please help will give brainlest
Answer:
D
Step-by-step explanation:
It state that total is -48, so the equation has =-48
Also says that it has 3 times
A travel agent receives a 10 percent commission for booking a hotel room 2 points
that costs $180 per night. The guest stays for three nights. How much
does the travel agent receive?
Your answer
Answer:
the travel agent receives $54
Step-by-step explanation:
180×3=540
540x0.10= 54
The cost (in dollars) of a custom-made sweatshirt is represented by $3.5n+29.99$ , where $n$ is the number of different colors in the design. Write a simplified expression that represents the cost of 15 sweatshirts.
Answer:
[tex]Cost = 52.5n + 449.85[/tex]
Step-by-step explanation:
Given
[tex]Cost = 3.5n + 29.99[/tex]
Required
Determine cost of 15
[tex]Cost = 3.5n + 29.99[/tex]
The cost of 15 sweatshirts is calculated by multiplying the cost of 1 by 15.
So, we have:
[tex]Cost = (3.5n + 29.99) * 15[/tex]
Open Brackets
[tex]Cost = 3.5n * 15 + 29.99 * 15[/tex]
[tex]Cost = 52.5n + 449.85[/tex]
Hence, the simplified cost of 15 sweatshirts is
[tex]Cost = 52.5n + 449.85[/tex]
An oil company fills 1/12 of a tank in 1/3 hour. At this rate, which expression can be used to determine how long it will take for the tank to fill completely?
A:1/12x3hrs
B:1/3 x 12hrs
C:1/3 x 1/12hrs
D:3x12hrs
P.s hrs = hours
Answer:
1/3 x 12
Step-by-step explanation:
just find the time taken and the expression will just reveal itself
if 1/12 tank= 1/3 hrs
1 tank = 1 x 1/3
1/12
=1/3 / 1/12
=1/3 x 12
( not compulsory just thought some one might not wanna calculate but just know the time taken: )
1/3 x 12
= 4hrs)
Find a number c such that the polynomial
p(x) = -x + 4x2 + cx3 - 8x4
has a zero at x = 1/4
need help w log expressions! pre cal! ILL MARK U BRAINLIST
Answer:
[tex] log_{3}4 +6log_{3} {x}+log_{3} y [/tex]
Step-by-step explanation:
Mistake [tex] 6log_3(4xy)[/tex]
Correct expansion would be as given below:
[tex] log_{3}(4 {x}^{6}y ) \\ \\ = log_{3}4 +log_{3} {x}^{6} +log_{3} y \\ \\ = log_{3}4 +6log_{3} {x}+log_{3} y \\ [/tex]
Bridget correctly wrote a set of equivalent numbers. Which of the following sets of
numbers could have been what she wrote?
1, 25%, 0.25
25
o Ž, 40%, 0.04
o Ž, 66%, 0.666
1, 10%, 0.01
Answer:
The answer is B im doing that test right now
Step-by-step explanation:
Please help me
Will mark as brilliant<3
Answer:
day on will be 5 day two will be 8 day 5 is 17 day 7 is 23
Step-by-step explanation:
what is the solution 2x-y=4 -4+2y=-8
Answer:
x= −1 /2 , y−4
Step-by-step explanation:
What is the length of the unknown leg in the right triangle?
25 m
D
20 m
Answer:
20 m :)
Step-by-step explanation:
System of Equations - Substitution
5x – 4y = -12
3x – 8y = 32
Answer:
1. x+2y=6 or x=6-2y
3x-2y=2
3(6-2y)-2y=2
18-6y-2y=2
18-8y=2
-8y=-18+2
-8y=-16
y=-16/-8
y=2 ans.
x+2*2=6
x+4=6
x=6-4=2 ans.
Proof:
3*2-2*2=2
6-4=2
2=2
I leave the rest for you to practice with.
can anyone help me? im not good at this
Answer:
58,52,46
Step-by-step explanation:
It goes down by 6 every number.
I’ll mark brainliest!
Answer:
y < -2
Step-by-step explanation:
it cannot be anything with ≤ bc the circle is open
and y is < -2 because the arrow goes left basically selecting all of the numbers less than -2
PLEASE HELP!! PLEASE EXPLAIN!!
note: I don't think that's the right answer, I just accidentally clicked it.
Answer: i actually think thats the right answer but i would think it's the second answer
Step-by-step explanation: i remembered doing this last year but im not sure if its right.
what is the answer of
[tex] \frac{47.8}{75} [/tex]
Calculate the perimeter of the figure and please show how you solved the answer :)
PLEASE HELP :)))))))))))))
Answer:
62 sorry if i am wrong please dont report
Step-by-step explanation:
A TV originally priced at $500 is discounted 5%. How much is the discount?
Answer:
The discount price for the TV is $475
Step-by-step explanation:
You multiply the original price by 0.95 (95%)
Answer:
$400
Step-by-step explanation:
Take the original price. Divide the original price by 5. Alternatively, divide the original price by 100 and multiply it by 20. Subtract this new number from the original one.
500/100=5
5*20=100
500-100=400
The cost of 15 oranges is $1. What is the cost of 5 dozen oranges?
Answer:
$4
Step-by-step explanation:
15/1=60/x
x=60/15 or 4
x=$4
Hope this helps plz hit the crown :D
Answer:
$4
Step-by-step explanation:
a dozen is 12 and you need 5 dozens so it is 60 oranges. 15×4=60. therefore it is 4
