Answer:
The answer is below
Step-by-step explanation:
The co-vertices of an ellipse are the endpoints of the minor axis. The equation for an ellipse is given by:
[tex]\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2}=1[/tex]
Where (h, k) is the center of the ellipse, (h, k±b) is the co-vertices, (h ± a, k) is the vertices, (h ± c, k) is the foci and c² = a² - b²
Since the center is the origin, hence (h, k) = (0, 0). i.e h = 0, k = 0.
Foci = (h ± c, k) = (± c, 0) = (±3, 0). c = 3
co-vertices = (h, k±b) = (0, ±b) = (0, ±4). b = 4
c² = a² - b²
a² = c² + b²
a² = 3² + 4² = 25
a = 5
Therefore the equation of the ellipse is:
[tex]\frac{x^2}{5^2} +\frac{y^2}{4^2}=1 \\\\\frac{x^2}{25} +\frac{y^2}{16}=1[/tex]
PLS HELP 100 POINTS ILL EVEN SEND U 50 AFTER IF U HELP
USE THE PIC
10.) Huntington’s disease is an autosomal dominant genetic disorder causing a breakdown of the brain. Write in the genotypes on the line next to / below each individual.
Answer:
1.dd
2.Dd
3.dd
4.Dd
5.dd
Explanation:
It's genetics
D d
d D d
d D d
Leon got a reduction of $40 on a Geometry set
which was marked $480.
(a) What fraction was the reduction?
(b) What percentage was the reduction?
(c) What percentage of the cost did Leon
pay for the Geometry set?
Answer:
i need help please with my maths
Step-by-step explanation:
solve the problem:
x + 4 = 10
Answer: 6
Step-by-step explanation: The way to solve this problme is to move backwards. Instead of adding you would subtract the number after the equal sign and whatever number before. It's kind of like a fact family!
10-4=6 so the answer is 6.
I hope this help you out, have an awesome day! :)
Below are the lengths (in meters) of Luiza's eight drives from the last time that she played golf. 213, 147, 156, 177, 130, 23, 78, 184 Using the data, create a histogram.
Answer:
Step-by-step explanation:
Given the data:
213
147
156
177
130
23
78
184
Histogram representing the data is attached below :
The histogram has three bins with a bin size of 80
Range _____ frequency
20 - 100 _____ 2
100 - 180 _____4
180 - 260 _____2
Answer:
Step-by-step explanation:
hope this helps!
An angle measures 145°.
Through what fraction of a circle does the angle turn?
Answer:
[tex]\frac{29}{72}[/tex]
Step-by-step explanation:
There are 360° in one complete rotation , thus angle turns
fraction = [tex]\frac{145}{360}[/tex] ( divide numerator and denominator by 5 )
= [tex]\frac{29}{72}[/tex] ← in simpest form
I need help with this question....
Solve the variable for 2e=6.8
Answer:
e=3.4
Step-by-step explanation:
Your equation is 2e=6.8
All you have to do is divide both sides by 2 and get that:
e=3.4
The solution for 2e=6.8 is 3.4
What is equation?Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given equation is: 2e=6.8
Divide both by 2, to make the coefficient of e 1.
2e/2=6.8/2
e=3.4
Hence, the solution of the equation is 3.4.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ2
Solve similar triangles
Help PLZ
Answer:
x = 6
Step-by-step explanation:
the smaller triangle is 3 times smaller than the big one
Please Help! I have no idea what this is! Also, do NOT put the answer in a link, as I cannot access it. Just give me the plain answer.
Answer:
[tex]1.962*10^{8}[/tex]
Step-by-step explanation:
When given the area and one side length, we can find the other side length by dividing.
So, [tex]\frac{5.612*10^{14}}{9.2*10^{7}}[/tex]= [tex]6.1*10^{6}[/tex]
The perimeter would be [tex]6.1*10^{6}[/tex]+[tex]6.1*10^{6}[/tex]+[tex]{9.2*10^{7}}[/tex]+[tex]{9.2*10^{7}}[/tex] = [tex]1.962*10^{8}[/tex]
Hope this is correct and helps!
Help plz................ Easy.......
Step-by-step explanation:
120° because opposite angles of parm are equal
Find the sum of the integers
Answer:
39
Step-by-step explanation:
11²=121
------------
12²=144
13²=169
14²=196
------------
15²=225
integers between √136 and √197 are 12,13,14.
12+13+14=39
find the slope and y-intercepts of the line below & write the equation of the line.
Answer:
m=3 b=-2 y=3x-2
Step-by-step explanation:
The slope/m is 3 because the rise is 3 and the run is 1. Rise over run and you get 3/1 also known as 3.
The y-intercept point/b is -2 because you can look at the graph and the point where the line touches the y-axis is the y-intercept/b
The equation is written in the format of y=mx+b so y and then m is the slope then add x after the slope, then write the y intercept.
Few more questions due tonight help is greatly appreciated!! Here is the questions:
1. Jose is making a pitcher of lemonade. The recipe requires 4 cups of water for every 1/2 cup of sugar. How many cups of water will he need if he uses one cup of sugar?
2. Marquise uses 1/3 of a yard of fabric to make 1/2 of a blanket. If Marquise wants to make a blanket for his sister, how many yards of fabric will he need?
3.
On a map of Durham, Hillside High School and Rogers-Herr Middle School are 6 1/2 inches apart. If every inch represents 1/4 of a mile, how many miles apart are the two schools?
4.Walter is making a paper-mache statue for art class. To make the paper-mache sticky, he needs to combine 1/2 a cup of flour for every 1 cup of water and 2/3 cup of glue. If Walter used one cup of glue, how many cups of flour will he need?
Answer:
1) 8 cups
2)2/3 of a yard
3)1 5/8 miles
4) 3/4 cups
Step-by-step explanation:
I hope this helps :)
Let me know if you need an explanation for any of them
Can I please get help?
Answer:
A=300(1+0.035)^t
A=300(1+0.035)^7 = $381.70
A=300(1+0.035)^21 = $617.83
Step-by-step explanation:
It's pretty simple. Use the formula that I posted in the answer. And 1 will always be 1. The decimal comes from the percent. Remember to bring it two places to the left to make a fraction into decimal form. And the t is years. So you raise it to the power of how many years.
Hope this helps
Tickets at an amusement park are $25 for children and $45 for adults. If the Jones family has $200 cash and they have two children, what is the maximum amount of adult tickets they can purchase?
Answer:
3
Step-by-step explanation:
25+25= 50 spent on the kids, leaving 150 to spend on the adults, 45 can go into 150 3 times.
hope this helps!!!
Answer:
3 maximum adult tickets
Step-by-step explanation:
children's ticket = $25
adult's ticket = $45
total amount of money $200
let x be the number of adults:
45x + 2(25) = 200
45x + 50 = 200
45x + 50 - 50 = 200 - 50
45x = 150
[tex]\frac{45x}{45} = \frac{150}{45}[/tex]
x = 3
to check:
2 children x $25 each = $50 in total
4 adults x $45 adults = $135 in total
⇒ $200 - ($135 + $50)
⇒ $200 - $185
⇒ $15 remaining
Jason bought 3 shirts for $24.99 each . How much did he spend on shirts
Answer:
he spent $8.33 on each shirt
What are the Lateral surface and Total surface of the Triangle?
help!! the measure of the angles of a triangle are shown in the figure below. Solve for x.
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The acute angles in a right triangle are complementary, so we have ...
(7x +5)° +36° = 90°
7x = 49 . . . . . . . . . . . . divide by °, subtract 41
x = 7 . . . . . . . . . . divide by 7
the answer isn't 8-2root3 btw
Answer:
1.41226231144
Step-by-step explanation:
Answer:
Step-by-step explanation:
16cos(30)-20sin(60) -8sin(90)
look at the pattern of the numerators Millie, you can remember all of the sin and cos functions at the special angles now. :)
sin(0) = 0 / 2
sin(30) = 1 / 2
sin(45) = [tex]\sqrt{2}[/tex] / 2
sin(60) = [tex]\sqrt{3}[/tex] / 2
sin(90) = [tex]\sqrt{4}[/tex] / 2 aka 1
now the numerators just count up from 90°
cos(90) = 0 / 2
cos(60) = 1 / 2
cos(45) = [tex]\sqrt{2}[/tex] / 2
cos(30) = [tex]\sqrt{3}[/tex] / 2
cos(0) = [tex]\sqrt{4}[/tex] / 2 aka 1
see the pattern.. it's pretty easy to memorize, knowing that :)
now let's use the above to plug into the given equation
16* [tex]\sqrt{3}[/tex] / 2 - 20* [tex]\sqrt{3}[/tex] / 2- 8*[tex]\sqrt{4}[/tex] / 2
8* [tex]\sqrt{3}[/tex] - 10 [tex]\sqrt{3}[/tex] -8
-2*[tex]\sqrt{3}[/tex] - 8
this isn't quite the same answer as you got before.. I feel like it's right
The following two triangles are similar. Find x.
Answer and Step-by-step explanation:
Since we know that the triangles are similar, we can find the value of x. It appears that the lighter triangle is dilated to be smaller than the darker triangle.
So, We would divide 48 by 6 to find the scale factor.
48 divided by 6 is 8.
Now, we divide 56 by 8 to find x.
56 divided by 8 is 7.
x is equal to 7.
#teamtrees #PAW (Plant And Water)
If log10 C = y, then what does c equal?
Answer:
[tex]C = 10^y[/tex]
Step-by-step explanation:
By the definition of a log, [tex]C = 10^y[/tex]
If a rectangle has a length of 3.5 meters and a width of 6.5 meters, what is the perimeter?
Answer:
20 meters it asking my to write more stuff but I don't know
4
The formula for the volume of a sphere is
V= 3 #rº. What is the formula solved for r?
Answer:
B. r = 3√(3V - 4π)
Step-by-step explanation:
volume of a sphere,V = 4/3πr³
Solve for r
V = 4/3πr³
V - 4/3π = r³
r³ = V - 4π/3
Cross product
r³ = V*3 - 4π
r³ = 3V - 4π
Find the cube root of both sides
3√r³ = 3√(3V - 4π)
r = 3√(3V - 4π)
pls help me. I need this as soon as possible
Answer:
-5!
Step-by-step explanation:
UGRENT PLEASE RESPOND QUICKLY
Use the distributive property to expand the following: 8 ( x + 2 )
PLS HELP ME IM AWARDING BRAINLIEST!
Answer:
200.96ft^2
Step-by-step explanation:
Diameter of the circular area of grass that the sprinkler sprays with water is 16 feet.
Divide the diameter by 2 to get its radius
Radius of the circle = Diameter of the circle / 2
so, 16 feet / 2 = 8 feet
Area of the circle is π times the square of the radius
Area of the circle = π × r² = 3.1415 × 8 feet = 201.056 square feet.
Closest answer will be 200.96ft^2
Answer:
3rd one :>
Step-by-step explanation:
Can someone plz help me on this thank u :))
Answer:
this not appropriate question dudokPara encher 2/5 de uma piscina são necessários 60.000 litros de água. Qual é a capacidade dessa piscina?
Answer:
A capacidade dessa piscina é de 150.000 litros de água.
Step-by-step explanation:
A capacidade da piscina é de x.
Para encher 2/5 de uma piscina são necessários 60.000 litros de água.
Isto implica que:
[tex]\frac{2x}{5} = 60000[/tex]
[tex]2x = 60000*5[/tex]
[tex]x = \frac{60000*5}{2}[/tex]
[tex]x = 150000[/tex]
A capacidade dessa piscina é de 150.000 litros de água.
factorize 4x^3 -8x^2- 12x
Answer:
Step-by-step explanation:
4x³ - 8x² - 12x = 4x ( x² - 2x - 3)
= 4x (x² + x - 3x - 3*1)
= 4x [ x(x + 1) - 3(x +1)]
= 4x [ (x +1) (x - 3)]
= 4x (x + 1)(x-3)
Answer:4x^3 -8x^2- 12x
Taking common4 x
4X(x²-2x-3)
Doing middle term factorization
4x(x²-3x+x-3)
4x(x(x-3)+1(x-3))
4x(x-3)(x+1) is your answer
Step-by-step explanation:
-1/3+1/2 simplified??
Answer:
1/6
Step-by-step explanation: