Answer:
Step-by-step explanation:
(-2,0) and (8,0) are horizontally aligned, so the ellipse is horizontal.
The equation of the ellipse is: [tex](x + 2)^2 / 16 + y^2 = 1.[/tex]To find the equation of the ellipse with the given information, we need to determine the major axis length and the equation's standard form.
The center of the ellipse is (-2, 0), and one vertex is at (8, 0). This means that the major axis is along the x-axis, and its length is equal to the distance between the center and the vertex, which is 8 units.
The minor axis length is given as 2 units. Since the minor axis is perpendicular to the major axis, it corresponds to the y-axis.
The standard form equation of an ellipse with a horizontal major axis is:
[tex]((x - h)^2 / a^2) + ((y - k)^2 / b^2) = 1,[/tex]
where (h, k) represents the center of the ellipse, and a and b are the semi-major and semi-minor axes' lengths, respectively.
Plugging in the given information, we have:
Center: (h, k) = (-2, 0)
Semi-major axis length: a = 8 / 2 = 4
Semi-minor axis length: b = 2 / 2 = 1
Substituting these values into the standard form equation, we get:
[tex]((x + 2)^2 / 4^2) + (y^2 / 1^2) = 1[/tex]
Simplifying:
[tex](x + 2)^2 / 16 + y^2 = 1[/tex]
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Mark is making jackets. Mark took 2 hours to make a jacket. The jacket was made up of 50 kilograms of wool. How long do you think it will take Mark to use 500 kilograms of wool for the jackets?
Given:
Mark took 2 hours to make a jacket.
The jacket was made up of 50 kilograms of wool.
To find:
The time in which Mark use 500 kilograms of wool for the jackets.
Solution:
We have,
1 jacket take 2 hours.
Number of jackets in 50 kg of wool = 1
Number of jackets in 1 kg of wool = [tex]\dfrac{1}{50}[/tex]
Number of jackets in 500 kg of wool = [tex]\dfrac{1}{50}\times 500[/tex]
= [tex]10[/tex] Jackets
Time taken by 1 jacket = 2 hours
Time taken by 10 jacket = 20 hours
Therefore, it will take 20 hours to use 500 kilograms of wool for the jackets.
Answer:
20 hours
Step-by-step explanation:
1 jacket=50kg wool
1 jacket= 2hrs
500kg available/50kg per jacket= 10 jackets
10 jackets x 2hrs per jacket=20hrs
Antonio needs to convert 1.2 liters of milk to milliliters. How many milliliters are there in 1.2 liters of milk?
Answer: 1200 milliliters.
Step-by-step explanation: 1 liter has 100 milliliters of milk in it. So you have to multiply 1.2 by 100 to get 1200.
Help help help me please
Answer:
it's 72
Step-by-step explanation:
length x height x base
6x3x4
6x3= 18
18x4=72
PLZ help me!! I will give 28 Points
Answer:
2
Step-by-step explanation:
base is 2 times larger
Answer:
2
Step-by-step explanation:
Hope this helps please tell me if anything is wrong!!
HELP PLZ
Given that m n and n l what conclusion can be made?
A. N || P
B. M upside down t P
C. M upside down t L
D. L || M
A
B or D is your answer
Hope this helps
Step-by-step explanation:
N || P
Step-by-step explanation:
the most reasonable answer to me is that coz line n and p will neva meet but I also like L || M(not sure)
hope that helps
Tasha is packing gift bags that include the same items. she has 72 glow sticks, 36 markers, and 24 bottles of bubbles. Tasha believes that she can pack no more than 6 bags using all of her supplies.
Answer:
22
Step-by-step explanation:
Answer:
This is not true. If Tasha has her supplies as multiples of twelve, She can make twelve bags in total.
24 ÷ 12 = 2
36 ÷ 12 = 3
72 ÷ 12 = 6
As all are evenly divided by twelve, indicating she is able to make twelve bags in total.
Solve the given system of equations by Elimination.
x + y = 6
3x - y = 14
Answer:
Step-by-step explanation:
find the value of X and Y
Answer:
x = 11, y = 56
Step-by-step explanation:
all you need is in the photo please
DON'T DO STEP BY STEP PUT ONLY THE ANSWER PLEASEEEEEEEEEEEEEEEEEEEEE YUKAZ DATA HER HJ
Answer:
It should be 1/2 sorry if i"m wrong
What is the value of x?
70°
35°
А. 350
В. 950
ООО
С. 105°
D. 75
what is angle a and c if b is 63 degrees? You will get 100 points for answering please help
Answer:
Angle A measures 76°
Step-by-step explanation:
The three interior angles of a triangle will always equal 180. Therefore:
[tex](63)+(x+7)+(2x+8)=180[/tex]
Solve for x. Add and combine like terms:
[tex]78+3x=180[/tex]
Subtract 78 from both sides:
[tex]3x=102[/tex]
Divide both sides by 3. So, the value of x is:
[tex]x=34[/tex]
Angle A is given by:
[tex]m\angle A=2x+8[/tex]
Since we know that x = 38:
[tex]m\angle A=2(34)+8=76[/tex]
Angle A measures 76°
It costs the class $203.00 to purchase 29 tickets for a performance at the Orpheum. Write an equation that can be used to find the total cost (c) for any number of tickets (t) they would buy.
Answer:
c=29÷203.
Step-by-step explanation:
i think that might be what you want. pretty sure there's a better way to wright it though.
help fast, thanks
(6-62)
Answer: A+P=11, 0.60A+0.35P=5.60
what is a 5a − 8 = 8 + a
Answer:
a=4
Step-by-step explanation:
5a-8=8+a
4a-8=8
4a=16
a=4
Help :(((((((((;;;;; I NEED HELP W MATH
Answer:
p = 6
Step-by-step explanation:
p/15 = 4/10
*cross multiply*
p*10 = 15*4
10p=60
*divide to get p alone*
p=6
can someone un block this stuff about premium please?
Answer:
??????????????????????????????????
Step-by-step explanation:
complete the square to form a perfect square trinomial.
Answer:
4
Step-by-step explanation:
someone please help asap, thank you!!
Martin has a bag of marbles. He removed one marble, recorded the color and then placed it back in the bag. He repeated the process several times and recorded his results in the table. Based on the frequency table, find the probability of randomly drawing the colors listed below.
Answer:
1. 27/50
2. 10/50
3. 13/50
4. 40/50
i hope this helped you and i hope this is the correct answer
List the ordered pairs shown in the mapping diagram
Answer:
(0,4)
(1,6)
(2,8)
(3,1)
(4,0)
The required ordered pair mentioned in the mapping diagram is (0,4), (1,6), (2,8), (3,1), and (4,0).
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
A mapping diagram is used to illustrate the relationship between sets of domains and ranges.
here,
From the mapping diagram,
Each arrow represents the ordered pairs,
So,
The ordered pair is given as,
(0,4), (1,6), (2,8), (3,1), and (4,0)
Thus, the required ordered pair mentioned in the mapping diagram are (0,4), (1,6), (2,8), (3,1), and (4,0).
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Which set of side lengths form a right triangle?
7 cm. 8 cm. 10 cm
3 it ott 5th
10 in 41 in 40 in.
15 m 20 m 25 m
Answer:
15m 20m 25m
Step-by-step explanation:
15^2+20^2=25^2
the others do not
Can somebody plz help answer these questions correclty (Like what the letters equal) thanks :D
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD
Answer:
20. multiply both sides by 4, x= 24
21. multiply both sides by 7, y=21
22.multiply both sides by 5, z=20
23. multiply both sides by 6, p=12
24. multiply both sides by 2, r=8
Step-by-step explanation:
you want to get the variable alone (x,p,y, etc).
so if you are dividing the variable by a number you want to take the denomentator and multiply it by itself and then you have to multiply the same number to the number on the other side of the equation.
The box plots represent weights of tomatoes harvested by two growers. Based on the graph, which is true?
A. Grower A was more likely than grower B to have tomatoes weighing 5 or more ounces.
B. All grower A tomatoes were lighter than all grower B tomatoes.
C. Grower B was more likely than grower A to have tomatoes weighing 4.5 or more ounces.
D. Grower B tomatoes were more likely to weigh less than 5 ounces than they were to weigh more than 5 ounces.
Answer:
b
Step-by-step explanation:
sorry if i am wrong
Answer:
The answer is D
Step-by-step explanation:
grower b has more of a lower pecentage of tomatoes under 5 so that would be the correct answer
Pls help will give brainilist
Answer:
56 cm, 1.8 ft, 20 in
Step-by-step explanation:
plz mark me brainliest. :)
Answer:
56 cm, 1.8 ft, 20 in
Step-by-step explanation:
I just simply turned 1.8 ft and 20 in into centimeters
1.8 ft = 54.9 cm
20 in = 50.8 cm
56 cm = 56 cm
Find x
I'm struggling plz help
Step-by-step explanation:
the right side of the diagram
9^2 + x^2 = 24^2
81 + x^2 = 576
x^2 = 576 + 81
x^2 = 657
x=√657
the left side of the diagram
9^2 + x^2 = 24^2
81 + x^2 = 576
x^2 = 576 + 81
x^2 = 657
x=√657
I don't know how to do this.
HIJK is a triangle based pyramid. The base HIJ is an equilateral triangle with side 10cm. The volume of the pyramid is 300cm^3. Calculate the perpendicular height, h, of the pyramid.
Answer:
20.78 cm^3 to the nearest hundredth.
Step-by-step explanation:
Volume = 1/3 * a * h where a = area of triangular base and h = the height.
The area of the triangle
= 1/2 * base * height
Its height = √(10^2-5^2)
= √75.
So its area = 1/2 * 10 * √75
= 5√75
So for the pyramid we have:
300 = 1/3 * 5√75 * h
h = 300 / (1/3 * 5√75)
= 20.78 cm^3.
What is 200 rounded to 1 decimal place
I Will give brainliest!! On a piece of paper graph -- Then determian which answer choice matches the graph you drew
Answer:
i dont know sry for the bother
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
that's the only graph that actually matches the coordinates
If x & 130° are supplementary, find x ,with process
Answer:
50
Step-by-step explanation:
180-130=50
Supplementary angles mean either of two angles whose sum is 180°
Write an equation of the line that passes through the points (-6, -8) and (2, -8).
Y=
Answer:
I wanna say 8 if its.
y=8x+-8
If thats wrong im sorry
Answer:
8
Step-by-step explanation: