An ellipse has foci located at (2,4) and (2,16) and vertices located at (2,0) and (2,20) this ellipse is vertical
Answer:
The equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].
Step-by-step explanation:
The statement is incomplete, the most probable outcome may be the equation of the ellipse based on information given.
The equation of an ellipse whose major axis is vertical and is centered at a point different from origin is defined by:
[tex]\frac{(x-h)^{2}}{b^{2}} + \frac{(y-h)^{2}}{a^{2}} = 1[/tex] (1)
Where:
[tex](h,k)[/tex] - Coordinates of the center of the ellipse.
[tex](x,y)[/tex] - Coordinates of a point in the line of the ellipse.
[tex]a[/tex] - Length of the major semiaxis.
[tex]b[/tex] - Length of the minor semiaxis.
The coordinates of the center of the ellipse is midpoint of the segment between vertices, which are collinear with foci:
[tex](h,k) = \frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2}(x,y)[/tex] (1)
Where [tex]V_{1} (x,y)[/tex] and [tex]V_{2} (x,y)[/tex] are the coordinates of the vertices.
If we know that [tex]V_{1} (x,y) = (2,0)[/tex] and [tex]V_{2} (x,y) = (2, 20)[/tex], then the coordinates of the center ellipse are:
[tex](h,k) = (2, 10)[/tex]
The length of the semimajor axis can be determined by using the following vectorial expression, which is equivalent to the Pythagorean Theorem:
[tex]a = \sqrt{[(h,k)-V_{1}(x,y)]\,\bullet\,[(h,k)-V_{1}(x,y)]}[/tex] (2)
If we know that [tex](h,k) = (2, 10)[/tex] and [tex]V_{1} (x,y) = (2,0)[/tex], then the length of the semimajor axis is:
[tex]a = \sqrt{(2-2)^{2}+(10-0)^{2}}[/tex]
[tex]a = 10[/tex]
And the length of the minor semiaxis is found by means of this Pythagorean identity:
[tex]b = \sqrt{a^{2}-c^{2}}[/tex] (3)
Where [tex]c[/tex] is the length between the center and any of the foci. This distance can be found by using this vectorial formula:
[tex]c = \sqrt{[(h,k)-F_{1}(x,y)]\,\bullet\,[(h,k)-F_{1}(x,y)]}[/tex] (4)
If we know that [tex](h,k) = (2, 10)[/tex] and [tex]F_{1} (x,y) = (2,4)[/tex], then the length between the center and any of the foci is:
[tex]c = \sqrt{(2-2)^{2}+(10-4)^{2}}[/tex]
[tex]c = 6[/tex]
And the length of the minor semiaxis is:
[tex]b = \sqrt{10^{2}-6^{2}}[/tex]
[tex]b = 8[/tex]
FInally, the equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].
Bob has two bags of coins.
The first bag has 3 nickels and 5
quarters. The second bag has 6
nickels and 2 quarters. Bob will
randomly select 1 coin from each
bag. What is the probability that
Bob will select a quarter from
each bag?
PLEASE HELP MEEEE
Answer: 40%
Step-by-step explanation: Get nae naed
Complete the table and then graph the function,
y = 5x look at picture
Answer:
x Y
0 - 0
1 - 5
2 - 10
Step-by-step explanation:
First box is 0
next is 5
the last is 10
What is the products? (2t+1)(t-4)
Step-by-step explanation:
hsusbdjdhssjzssisbzjshzbzbaizussbissbisbsisbsssj
the cost of a customer smartphone bill can be modeled by the equation c=10g+50
Answer:
c=10(g+5)
Step-by-step explanation:
Given that,
The cost of customer smartphone bill is given by the equation as follows :
c=10g+50
Where
g is the number of gigabits of data the customer per month
We need to factor this cost polynomial
The common between 10 and 50 is 10
Taking 10 common. So,
c=10(g+5)
Hence, the required factor is equal to c=10(g+5).
PLEASE GIVE ME A GOOD ANSWER FOR THIS PAGE THIS WILL BE 25 PT AND HOPEFULLY IF SOMEONE IS NICE ENOUGH to put a second answer so I can give a brainliest ^-^
Question 2: She needs $16 more dollars to reach $60.
Question 3: He made a profit of $1,134.
Question 4: Yes, he will have enough to by the game. The exact cost of the game (including tax) is $46.99135. Stephen has $55.50. Therefore he has enough to buy the game.
Question 5: The moving company should be paid $736.
If you want me to include all the calculations, I would gladly do so.
I couldnt do question 6 because the image was unclear. My apologize for the inconvenience.
Part A
Storage locker A is 6 feet wide, 6 feet deep, and has a height of 9 feet. Storage locker B has a volume of 306 cubic feet. Which storage locker is bigger? Enter the volumes to explain your answer.
Locker ___ is bigger. Locker A has a volume of ___ cubic feet, while Locker B has a volume of 306 cubic feet.
Part B
The monthly rent for Locker A is $0.35 per cubic foot. The monthly rent for Locker B is $0.40 per cubic foot. How much does it cost to rent the largest locker each month?
___$
Answer:
Part A:
Locker A is bigger. Locker A has a volume of 324 cubic feet.
Part B:
$113.40 each month
Step-by-step explanation:
Part A
Locker A:
V = L(W)(H)
V = 6(6)(9)
V = 324
Part B
324(0.35) = 113.4
Locker A is bigger. Locker A has a volume of 324 cubic feet, while Locker B has a volume of 306 cubic feet.
Monthly rent for 324 cubic feet is $113.40
Calculation of VolumeStorage locker A is 6 feet wide, 6 feet deep, and has a height of 9 feet.
Volume of the cuboid is length times width times height
[tex]volume \; of \; locker \; A = lwh\\=6 \cdot 6 \cdot 9\\=324 cubic feet[/tex]
Volume of locker A is 324 cubic feet
Volume locker B is 306 cubic feet.
324 cubic feet is bigger thatn 306 cubic feet.
Locker A is bigger.
The monthly rent for Locker A is $0.35 per cubic foot. The monthly rent for Locker B is $0.40 per cubic foot.
Monthly rent for locker a is 0.35 per cubic feet.
Monthly rent for 324 cubic feet is [tex]324 \cdot 0.35 =113.4[/tex]
Learn more information about 'Volume ' here
brainly.com/question/22694657
find the missing side lenght of the triangle below
Answer:
12
Step-by-step explanation:
5^2 + x^2 = 13^2
x = 12
Answer:
12
Step-by-step explanation:
Use Pythagorean theorem
[tex]a^2 +b^2 =c^2[/tex]
c= always hypotenuse/ longest side/ side across from right angle = 13
a= 5
[tex]5^2+b^2=13^2[/tex]
[tex]25+b^2=169[/tex]
Subtract 25 from 169
[tex]b^2= 144[/tex]
Square root both sides
b= 12
--------
it's also a special triangle known as a 5, 12, 13 triangle
Write 6431 to the nearest thousand.
the answer is 6430
Answer:
the nearest thousand would be 6000
Step-by-step explanation:
above 6500 would have been 7000
Answer:
6000
Step-by-step explanation:
Can someone please help me?
Answer:
scalene
Step-by-step explanation:
Alexis traveled 2.3 km to visit her purchase groceries at the supermarket she travels another 600m to get some vitamin C at the pharmacy how much how many meters did Alex to travel in Total?
Answer:
2.9 km
Step-by-step explanation:
Just add up the two distances: 2.3 km + 600 m = 2.3 km + 0.6 km = 2.9 km total
Increase 280g in the ratio 5:2
Answer:
700
Step-by-step explanation:
Therefore, the increase in 280 in the ratio 5:2 is 700
I need this answer as soon as possible and also can u explain it
Answer:
56
Step-by-step explanation:
x=5
so x for the gym is 5 and x+3=5+3=8
add 5 and 8 because that is a whole side.
we are trying to find perimeter which us the outside of the shape. you are just going to "walk the fence" . so now, we have two sides of 15 and two sides of 13 (5+8). 13+13=26. 15+15=30
add the 26 and 30
Can someone help me with this. Will Mark brainliest.
Answer:
false
Step-by-step explanation:
a parallelogram is defined as a four sided figure with opposing sides parallel. So, a rectangle counts as a parallelogram, but all of its sides aren't equal
SOMEONE HELP ME PLS
Find the indicated angle. (What is ?)
Tiara attended 12 piano classes in four weeks. If she attended the same number of classes each week, which equation can be used to find the number of classes she attended every week?
A.4 + c = 12
B.4c = 12
C.12c = 4
D.12 - c = 4
Answer:
C
Step-by-step explanation:
Because i'm smart and did the math.
Please answer with explanation
Answer:
1. if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = 6/2= 3. Thus, the equation describing this direct variation is y = 3x.
2. Partial Variation, where two variables are related by a formula, such as the formula for a straight line (with a non-zero y-intercept)
example :
in the milk factory Carol makes $10 per hour but gets an extra $20 from another job. since Carol gets a $20 allowance regardless of how much she works, if we want to represent Carol's situation in the form of an equation, it would be
Y=10x + 20
therefore if she worked zero hours
(Y=10(0) + 20),
she would still make $20 unconditionally and for every hour she works, she gets $10 more including the initial $20.
thus Carol's equation would be a partial variation, since her income doesn't entirely depend on how much she works.
3. a relation is non linear because it is has a direct relationship between an independent variable and a dependent variable.
In a relation, changes in the output do not change in direct proportion to changes in any of the inputs.
relations does not create a straight line but instead creates a curve.
??answer!?? Plsssss: )
What is the length of AD??
Answer:
d
Step-by-step explanation:
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if it is exactly 8:00, How long does it take for the hands of the clock to be pointed in the same direction
Answer:
Hey! do not go to brainly for this, sometimes brainly can be no help and people will scam for points, or maybe try to hack you (pt virus) with those links saying the answers there.. I am not saying this for points but go to https://www.varsitytutors.com/basic_geometry-help/how-to-find-the-distance-between-clock-hands for that
Step-by-step explanation:
So don't waste your time on brainly finding answers, you can run out of points fast, some people wont answer at all.
Hello, I gotta turn it turn in this question today, help!!!!!!
Answer:
2 or -2
Step-by-step explanation:
If x² - 8x = -12
Step 1
We find x by solving
x² - 8x = -12
We equate to zero
x² - 8x + 12 = 0
We factorise
x² - 6x - 2x + 12 = 0
x(x - 6) -2(x - 6) = 0
(x - 6) (x - 2) = 0
x - 6 = 0, x = 6
x - 2 = 0, x = 2
x = 6 or 2
Step 2
What is x - 4?
When x = 6
= 6 - 4 = 2
When x = 2
= 2 - 4 = -2
Therefore, x - 4 = 2 or -2
Plzz help will give Brainiest. Need it now plzz
Step-by-step explanation:
The solution in the photo above, I know it is not very clear sorry for that :)
I hope that is useful for you :)
Complete the pattern. 1/9, 1/3, 1, ?
Answer:
The answer is 3
Please help me on this!!
Find the area of a parallelogram with base b and height h.
B=74 cm
H=14.8 cm
answer from me: 1,095.2 cm
Use 3.14 the diameter is 28.2, find the area of a circle.
answer from me: 624.26 m
identify the sets to which the number belongs.
answer from me: integer, rational number
thank you so much, plz help if you can
Answer:
1095.2 cm² is correct (don't forget to say it's cm squared)
624.26 m² is correct (ditto)
I'm not 100% sure what the identity of the sets means, you're probably correct though
Step-by-step explanation:
area = 74 x 14.8 = 1095.2 cm²
radius = 28.2/2 = 14.1
area = 3.14(14.1²) = 624.26 m²
Can someone help me with this. Will mark brainliest.
PLSSSSS HELPPP solve for x, round to nearest tenth
Answer:
17.6
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST
SHOW YOUR WORK
A meteorologist in Seattle says there is a 75% chance of rain. A meteorologist in Tacoma says there is a 1/4 chance of rain. In which city is it more likely to rain?
A. Seattle
B. Tacoma
C. Batesville
D. Both have the same chance
Plz help I’m bad at math
Answer:
1 is 136, 2 is 44, annd 4 is 44
Step-by-step explanation:
Work out the value of x.
Answer:
x = 30°
Step-by-step explanation:
4x + 2x = 180° because they are supplemental angles
6x = 180°
divide both sides of the equation by 6:
x = 30°