Please help!!
Find the center, vertices, and foci of the ellipse with equation
Answers
Answer:
center (0;0), vertices (0;10) and (0;-10), foci (0;6) and (0;-6)
Step-by-step explanation:
Answer:
[tex]\boxed{\boxed{C) Center:(0,0);\: Vertices:(-10,0),(10,0);\:Foci:(-6,0),(0,6)}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:conic geometryalgebraPEMDASgiven:[tex] \frac{ {x}^{2} }{100} + \frac{ {y}^{2} }{64} = 1[/tex]to find:centerverticesfocitips and formulas:[tex] \sf ellipse \:equation : \\ \tt\frac{( {x}^{2} - h)}{ {a}^{2} } + \frac{( {y}^{2} - k)}{ {b}^{2} } = 1[/tex][tex] \sf c(h,k)[/tex][tex] \sf v(h \pm a,k)[/tex][tex]\sf F(h\pm c,k)[/tex][tex] \sf c = \sqrt{ {a}^{2} - {b}^{2} } [/tex]let's solve:[tex] \sf rewrite \:the \: given \: equation \: as \: ellipse \: equation \\ \tt \frac{ {(x - 0)}^{2} }{100} + \frac{ ({y - 0)}^{2} }{64} = 1[/tex]since we can see that h and k is 0
therefore
c(0,0)
[tex] \sf vertices :( h \pm a,k)[/tex]
given:a²=100
let's find a
a=√100
a=10
therefore
vertices:(0±10,0)
=(0+10,0) and (0-10,0)
=(10,0) and (-10,0)
[tex] \sf foci : (h \pm c,k)[/tex]
[tex] \tt c = \sqrt{ {a}^{2} - {b}^{2} } [/tex]
[tex] \sf \: c = \sqrt{ {10}^{2} - {8}^{2} } \\ \sf \: c = \sqrt{(10 + 8)(10 - 8)} \\ \sf c = \sqrt{(18)(2)} \\ \sf c = \sqrt{36} \\ \tt c = 6 [/tex]
therefore,
foci:(h±c,k)
=(0±6,0)
=(0+6,0) and (0-6,0)
=(6,0) and (-6,0)
[tex]\text{also see the graph} [/tex]
Related Questions
David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he stays with the company, he will be given a salary raise of $2500. How much would David make as a salary after 4 years working for the company? What would be his salary after t years?
Answers
Answer:
He would be making 79000 after 4 years and I am guessing t means ten and that would be 94000.
Step-by-step explanation:
Answer:
salary after 4 years: 79,000
salary after t years: 69,000 + 2,500t
Step-by-step explanation:
2500 x 4 = 10,000
add 10,000 to 69,000
6x times (-2y)
Urgent please send solution
Answers
Answer:
_2y6x
Step-by-step explanation:
this is the answer
I hope it will helps you
Find the value of x. Please respond ASAP
Answers
Answer:
I think its c but im not sure
In the city where sonya lives, it rains and average of 8.05 centimeters each month last year.About how many centimeters of rain fell in all last year? Show your work.
Answers
You would multiply 8.05 times the #of momths which is twelve.
The total centimeters of rainfall in the city for the past year where Sonia lives is given by the equation A = 96.6 cm
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total centimeters of rainfall for the past year be A
Now , the equation will be
The centimeters of rainfall every month in the city = 8.05 cm
The total number of months in a year = 12 months
So ,
The total centimeters of rainfall in the city for the past year A = centimeters of rainfall every month in the city x total number of months in a year
Substituting the values in the equation , we get
The total centimeters of rainfall in the city for the past year A = 8.05 x 12
On simplifying the equation , we get
The total centimeters of rainfall in the city for the past year A = 96.6 cm
Therefore , the value of A is 96.6 cm
Hence , the total rainfall is 96.6 cm
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Solving Systems using tables
Mikayla put $212 in a savings account at the beginning of the year. At the end of each month, she withdrew $12 from her account. Mathew put $30 in his savings account at the beginning of the year. At the end of each month, he deposited $14 in his account. Let x represent the number of months which have passed and y represent the amount in each savings account.
A. Write an equation to represent the amount in Mikayla’s savings account.
B. Write an equation to represent the amount in Matthew’s savings account.
C. Below make an input-output tables that show the amount in each account for the first 8 months
D. When will Mikayla and Matthew have the same amount in their accounts?
Mikayla Matthew
X Y X Y
0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
Answers
Answer:
i hope this helps
Step-by-step explanation:
3% is the interest rate. Using the formula I=PRT, you can simply derive the rate by putting the given numbers in.
I = 450P = 3,000R = ?T = 5 Years
The equation now goes,450 = 3,000 * R * 5450 = 15,000 * R450/15,000 = R0.03 = R
multiply it by 100,
R = 3%
Gabriela was solving an equation, but when she checked her answer, she saw solution was incorrect . She knows she made a mistake, but she can’t find it.
Answers
Answer:
The distribution at the 2nd line
Step-by-step explanation:
I believe where Gabby went wrong was in her multiplication distribution
12*5=60 not 72
hope this helps!!
The value of y form the given equation is -65/11. Gabriela did mistake in second step while multiplying 12 and 5 and - sign into a bracket.
The given equation is 12(5+2y)=4y-(5-9y).
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation can be solved as follows:
12(5+2y)=4y-(5-9y)
⇒ 60+24y=4y-5+9y
⇒ 60+24y=13y-5
⇒ 24y-13y=-5-60
⇒ 11y=-65
⇒ y=-65/11
Therefore, the value of y form the given equation is -65/11. Gabriela did mistake in second step while multiplying 12 and 5 and - sign into a bracket.
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If a student saves $35 per week how long will it take to save enough money to buy a computer
Answers
Answer:
How much does the computer cost?
Step-by-step explanation:
When you let me know I'll come back and help you with the answer :)
Tt will take [tex]$\frac{x}{35}[/tex] weeks to buy the computer
We have student who saves $35 per week.
We have to determine how many weeks will it take to save enough money to buy a computer.
If you save $30 per week, how much money you will save in 10 weeks ?In 10 weeks you will save - 30 x 10 = $300
According to the question, we have -
Amount saved per week - $35
Assume that the cost of the computer is $x.
Now -
$35 → 1 week
$1 → [tex]$\frac{1}{35}[/tex] week
$x → [tex]$\frac{x}{35}[/tex] weeks.
Hence, it will take [tex]$\frac{x}{35}[/tex] weeks to buy the computer. You can put the cost of computer at the place of x and determine the number of weeks needed.
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Please answer number 17 with work
Answers
B. 31, 106 and 43.
Step-by-step explanation:i found out that x = 103x + 1 = 3111x - 4 = 1065x - 7 = 43
help me I wasn't here
Answers
Answer:
6/8 or 3/4 or 75%
Step-by-step explanation:
Use the expression 5a – 2b – 3 + 2b – 6a.
Part A
Simplify the expression.
–4
2a – 4b
–a – 3
a – 3
Part B
Which of the following is an equivalent expression?
–(3 + a)
–a + 3
–(a – 3)
–3 + a
Answers
Answer:
5a + (-6a) + (-2b) + 2b + (-3) = -a -3 or -(a + 3) so first answer is correct because -(a + 3) is the same as -(3 + a)
Step-by-step explanation:
Need help and fast.
match the following equations with the correct description of the solutions.
equations
(2-3x)=2(5x+3)
x-3(2+3x)=2(5x-3)
x-3(2-3x)=2(5x-3)
soulutions
A infinitely many solutions
B no solutions
C one solution
Answers
Answer:
c
Step-by-step explanation:
Step-by-step explanation:
(2-3x)=2(5x+3) has 1 solution
x-3(2+3x)=2(5x-3) has no solution
x-3(2-3x)=2(5x-3) has infinite solution
Hope this helps
Please give me Brainliest!
earth takes 6 seconds to travel 114 miles around the sun. How fast does the earth travel around the sun in miles per second
Answers
Answer: 19
Step-by-Step explanation:
So I am assuming that you should divide 114 divided by 6 which will leave you with the answer of 19.
What is 3(5)(5-2)+2
Answers
Answer:
47
Step-by-step explanation:
3 × 5 × (5-2) + 2
15 × (3) + 2
45 + 2
= 47
Using the following table, what is the correct equation?
х
f(x)
-1
2/5
0
2.
1
10
2
50
Answers
Answer: 50
Step-by-step explanation: hope this helpss
Laura says that you should
always divide the bigger number
by the smaller number. Do you
agree with her or disagree with her?
why?
Answers
Answer:
agree
Step-by-step explanation: you should always divide the bigger number over the smaller number. but if you don't you'd still get the same answer
Work out the lengths of b of 17cm and 12cm pythagoras
Answers
Answer:
[tex]hypotenuse = \sqrt{ {17}^{2} + {12}^{2} } \\ = \sqrt{289 + 144 } \\ = \sqrt{433} [/tex]
Five subtracted from a number is eleven.
x-5=11
5-x=11
X+5=11
5+X = 11
Answers
Answer:
5-x=11
Step-by-step explanation:
Answer:
x - 5 = 11
Step-by-step explanation:
It's the only one where five is being subtracted from a number and the result is 11.
5.071 to 1 decimal place?
Answers
Answer:
5.1
Step-by-step explanation:
I don't know how to explain, but 1 decimal place is the number after the dot
i will mark you brainliest so please help help help!!!!
Answers
Answer:
28,000
Step-by-step explanation:
Answer:
28,000
Step-by-step explanation:
if u multiply 6,827 by 4 u get 27,303 and 208, 000 is way off so is 240, 000 24,000 is off by 3,303 and 28, 000 is off by 697. so it's 28,000.
Figure 11: Find the area of this composite shape.
Find the area of this composite shape.
4 cm
8 כש
4 cm
12 cm
Answers
The area of the composite figure is C = 80 cm²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the composite figure be C
Now , C = area of rectangle - area of square
Let the area of the rectangle be A
Now , the length of the rectangle be L = 12 cm
Let the width of the rectangle be W = 8 cm
A = 12 x 8
A = 96 cm²
Area of square = 4 x 4 = 16 cm²
So , C = 96 - 16
C = 80 cm²
Hence , the area of figure is C = 80 cm²
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PLEASE ANSWER I NEED HELP ASAP
The table shows the running speeds of 10 randomly
selected ostriches.
Speed (miles per hour)
35 40 37 33 36 34 32 36 41 36
Based on the data, select the most reasonable prediction about the speed of
ostriches.
A. The typical ostrich runs at speeds greater than 40 miles per hour.
B. The top speed of an ostrich is 40 miles per hour.
C. The typical ostrich runs at a speed of about 30 miles per hour.
O D. The typical ostrich runs at a speed of about 36 miles per hour.
Answers
U work this out by adding all number together then diving by number of results
So total of results = 360
360/10 results = 36
Answer:
D 36MPH
Step-by-step explanation:
Which expression is equivalent to -3(m + 5)?
A: m - 15.
B: -3m + 5.
C: -3m - 15.
D: - 15m.
Answers
the answer is -3m - 15 .
hope it helps you
HELPPPPPPPPPPPPPpPppp
Answers
Answer:
Answer c..... can i get brainliest ?
Step-by-step explanation:
Just substitute (2,0) in the equation
2 for x
0 for y
(2.99548) x (1.8342)
Answers
Answer:
5.49430941
Step-by-step explanation:
Multiply together.
i hope this helps, good luck :)
Which polynomial is prime?
O x2 + x + 1
O x2-x-2
O x2 - 12x + 11
O x2 + 2x -8
Answers
Answer:
x2 + x + 1
Step-by-step explanation:
A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial . Example 1: x2+x+1. (:
Please Help ASAP I’m confused
Answers
Answer: B 89 degrees
Step-by-step explanation:
The triangle angle sum theorem states that the angles of a triangle sum to 180 degrees. Since we know two of the angle measures we can find the missing angle. 60 + 31 = 91 degrees.
180 - 91 = 89 degrees
Answer:
If i'm correct, the answer is (B) 89
Step-by-step explanation:
Hope this helps.
Help a girl out! please
Answers
Answer:
B. is correct
Step-by-step explanation:
have a nice day!!
the angles have measured of what?
Answers
Answer:
38°, 142°
Step-by-step explanation:
[tex] m\angle 1= \frac{1}{2} \times (36\degree + 40\degree) [/tex]
[tex] m\angle 1= \frac{1}{2} \times 76\degree [/tex]
[tex] \red{\bold {m\angle 1= 38\degree}} [/tex]
[tex] m\angle 1+ m\angle 2= 180\degree[/tex]
(Linear pair angles)
[tex] 38\degree + m\angle 2= 180\degree[/tex]
[tex] m\angle 2= 180\degree-38\degree[/tex]
[tex] \purple {\bold {m\angle 2= 142\degree}} [/tex]
Maurice buys a dozen of donuts on sale for $7.99 before tax.
The sales tax is 4%.
What is the total price Maurice pays for the dozen donuts?
Answers
Answer:
$8.30
Step-by-step explanation:
7.99 + 4% = 8.30
Q1 - Multiplying one equation
Work these simultaneous equations out
on paper and write down your answers.
p
4p + 2q = 28
13p + 69 = 88
9 =
3s + 4t = 31
S =o
88 + 8t = 72
t =
a =
4a + 3b = 45
16a + 4b = 124
b =
5m + 6n = 61
m =
15m + 4n = 99
n =
Answers
Answer:
p = 4
q = 6
s = 5
t = 4
a = 6
b = 7
m = 5
n = 6