The center of an ellipse is (-9,3). One focus is (-6,3). The
major axis is 14 units long.
What is the equation of the ellipse in standard form?
Enter your answer by filling in the boxes.
Answers
Answer:
49 in first box, 40 in second box. I took the test.
The equation of an ellipse with center (-9, 3), focus (-6, 3) and major axis length of 14 units is [tex]\frac{(x+9)^2}{49} + \frac{(y-3)^2}{40}= 1[/tex]
The standard form of the equation of an ellipse is:
[tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}= 1[/tex]
The center of the ellipse, (h, h) = (-9, 3)
That is, h = -9, k = 3
The length of the major axis = 14 units
The length of the major axis = 2a
2a = 14
a = 14/2
a = 7
a² = 7²
a² = 49
The coordinates of the foci are [tex](h \pm c, k)[/tex]
One of the foci = (-6, 3)
h - c = -6
-9 - c = -6
c = -9 + 6
c = -3
[tex]c^2 = a^2 - b^2\\(-3)^2 = 7^2 - b^2\\9 = 49 - b^2\\b^2 = 49 - 9\\b^2 = 40[/tex]
Substitute a² = 49, b² = 40, h = -9, and k = 3 into the equation [tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}= 1[/tex]
[tex]\frac{(x+9)^2}{49} + \frac{(y-3)^2}{40}= 1[/tex]
The equation of an ellipse with center (-9, 3), focus (-6, 3) and major axis length of 14 units is [tex]\frac{(x+9)^2}{49} + \frac{(y-3)^2}{40}= 1[/tex]
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Related Questions
38% of the 1200 Robinson students are 7" graders. How many Robinson
students are 7 graders?
Answers
For percentages, we write the number before the % sign as a decimal out of 1. So our percentage would actually be 0.38
To find what percent of Robinson students are 7th graders, we simply multiply 0.38 by 1200 which gives us 456
The answer is 456
can someone pls answer these. thank you :))
(5)(-12)=
26 x -3=
(12)(-8)=
(-9)(8)(-7)=
13 x -6 x 3=
Answers
2. -78
3. -96
4. 504
5. -234
lmk if i did something wrong :)
Answer:
1. -6
2. -78
3. 4
4. 504
5. - 236
please helpppppppppp
Answers
Answer:
D
Step-by-step explanation:
Count the number of places it takes to get one place past 3
There are 5 zeros in the given question. That gets you to just before the 3.
Add one more to get past the 3. That makes 5 zeros + 1 more place = 6
Since you are moving right, the 6 is minus. Your answer is 3 * 10^-6
During migration a monarch butterfly might fly an average of 50 miles per day. Which equation shows the fays of travel, d, in terms of the milee traveled, m
Answers
The monarch butterfly (Danaus plexippus) is among the most recognized, studied, and ... Using environmental cues, the monarchs know when it is time to travel south for the winter. ... Some fly as far as 3,000 miles to reach their winter home! ... Monarchs can travel between 50-100 miles a day; it can take up to two months to
Two walls in a room measures 8 m on each side if 1 L can of paint covers 9 square meters how many cans of paint are needed to paint?
Answers
8+8=16
16/9= 1 and 7/9
sorry if this is wrong, but i hope that helped
A science experiment calls for mixing 3 and two-thirds cups of distilled water with 1 and three-fourths cups of vinegar and Two-thirds cups of liquid detergent. How much liquid in all, in cups, is needed?
2 and StartFraction 1 over 12 EndFraction
4 and StartFraction 1 over 12 EndFraction
5 and StartFraction 1 over 12 EndFraction
6 and StartFraction 1 over 12 EndFraction
Answers
Answer:
D. 6 1/12
Step-by-step explanation:
First add the like fractions.
3 2/3 + 2/3 = 3 4/3 (Don't worry about simplifying yet)
Now find the least common multiple for 3 4/3 and 1 3/4 so we can add them.
REMEMBER: You can only add and subtract fractions when they have the same denominator.3: 3, 6, 9, 12
4: 4, 8, 12
In this case 12 is the least common multiple.
3/4 x 3/3 = 9/12 9/12
4/3 x 4/4 = 16/12
Add those two fractions then add the whole numbers and put it in front.
4 25/12
Simplify
6 1/12
Answer:
d
Step-by-step explanation:
solve the literal equation for x. 2y-18x= -26
Answers
Answer:x=y+13/9
Step-by-step explanation:
Answer:
262y/18
Step-by-step explanation:
What is 51.886 rounded to
Answers
answer:
it will be rounded to 52
Answer:
Not sure what you are wanting the number to be rounded to, so I'll just put all of the options here:
To the nearest whole number: 52
To the nearest tenth: 51.9
To the nearest one hundredth: 51.89
From which store should Camillo buy bread to get the
best price?
Answers
Answer:
B
Step-by-step explanation:
i took the assessment
♡ ∩_∩
（„• ֊ •„)♡
┏━∪∪━━━━┓
♡ Thank you 。 ♡
┗━━━━━━━┛lily~chan hopes she helped!
Answer:
Store B
Step-by-step explanation:
I got it right
on y = -6(2+4)2 +5 a
Answers
Answer:
y
=2(x−4)2+5 is in vertex form with h=4 and k=5⇒vertex =(4,5)
Step-by-step explanation:
Which of the following would have infinitely many solutions?
3x = 6 + 3x
2(x + 2) = 2x + 4 4x – 5 = 3 (x – 4)
-X + 6 = x + 6
9
Answers
Answer:
Below.
Step-by-step explanation:
2(x + 2) = 2x + 4
2x + 4 = 2x + 4
Both sides are identical so we can replace x with any value we like and the equation will balance, so there are infinitely many solutions.
Answer:
2(x+2)=2x+4
I'm not very sure but I hope this is right. I took geometry last year so my memory on it is funky :/
Z1 and z2 are complementary angels given m z1= 12°, find mZ2.
m2
Answers
Sum of two angles that are complementary = 90°
m∠1 + m∠2 = 90°
Given :
m∠1 = 12°
Then :-
[tex]12° + ∠2 = 90°[/tex]
[tex]∠2 = 90 - 12[/tex]
[tex]∠2 = 78°[/tex]
∴ m∠2 = 78°Find the height of a cylinder with a volume of 36piecm and a bad with a radius of 3cm
Answers
Step-by-step explanation:
V=pi×r^2×h
36pi =pi × (3)^2 × h
36pi ÷ pi×9 = h
4cm^2 = h
A UPS package was shipped to Shiela. The height is inches, the length is 1.5 feet, and the width is 14 inches. What is the volume of the box?
Answers
3. Write the formula for the area of a triangle, A = 1/2 bh, in terms of h. Find
the height of a triangle when A = 18 in.? and b = 9 in.
Show work to get the answer
Answers
Answer:
Area = 1/2 bh
Area = 18
Base = 9
height = ?
18 = 1/2 x 9 x h
cross multiply
18 x 2 = 1 x 9 x h
36 = 9h
divide both sides by 9
h = 4
(a) The formula for area of a triangle is expressed in terms of h as [tex]h = \frac{2A}{b}[/tex]
(b) The height, h of the triangle is calculated as 4 in
Given:
area of a triangle, [tex]A= \frac{1}{2} bh[/tex]
To find:
the area in terms of hthe height, h, of the triangle when the Area, A = 18 in² and base, b = 9 in(a) The formula, (area of a triangle) is expressed in terms of h as;
[tex]A = \frac{1}{2} bh\\\\multiply \ both \ sides \ of \ the \ equation \ by\ 2\\\\bh = 2A\\\\divide \ through \ by \ b\\\\\frac{bh}{b} = \frac{2A}{b} \\\\h = \frac{2A}{b}[/tex]
(b) The height, h of the triangle is calculated as
[tex]h = \frac{2A}{b}\\\\Recall , A = 18 \ in^2 , \ b = 9\ in\\\\h = \frac{2\times 18}{9}\\\\h = 4 \ in[/tex]
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write an equation of a line that passes through the point (4,2) with a slope of 1/4
Answers
Answer:
Slope Intercept Form: y = [tex]\frac{1}{4}[/tex] x + 1
Point Slope Form: y - 2 = [tex]\frac{1}{4}[/tex] × (x - 4)
Standard Form: 1x - 4y = -4
Step-by-step explanation:
Answer:
[tex]y=\frac{1}{4} x+1[/tex]
Step-by-step explanation:
A linear equation needs two pieces of information: the slope of the line, and its y-intercept. Since we are already given the slope we can plug that into the standard equation format:
y=mx+c, where m=slope and c=y-intercept
y=1/4x+c
Now we just need to find the y-intercept.
To find it we are given a point: (4,2), which we can use to trace back to the y-intercept using the slope. The slope of the line of 1/4. This means that the point before it is located 4 units to the left on the x intercept, and 1 unit lower on the y-intercept. Conveniently, this gives us our y-intercept, as the x values 4-4=0. The y value is 1 (2-1) so our y-intercept is 1!
So now we have our equation:
y=1/4x+1
Hope this helped!
[tex]\frac{1}{x} *x^2+5x[/tex]
Answers
half of farihas hockey cards got wet and ruined.fariha bought 5 cards to replace some that were lost
Answers
There is approximately 10 cards at the start
geometry help please
Answers
HI, i have a math assignment due in 15 mins can anyone help me? i'll put a picture. I just need to finish it. I finished one half just confused on the "un answered ones"
Answers
Answer:
3. x ; y
4. y; x
5. k = y/x
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
6c -7 + 2 + 4 – 6d help plz
Answers
Answer:
6c-1-6d
Step-by-step explanation:
Answer:
6c - 6d - 1
Step-by-step explanation:
x + 6 ÷ 2 = 5 solve for x.
Answers
Answer:
4=x
Step-by-step explanation: I just tried 2 first then it was wrong, so then I tried 4+6 divided by 2=5 :)
Answer:2.4
Step-by-step explanation:
Three times the sum of d and 4 is 32.
Answers
Answer:
6 2/3
Step-by-step explanation:
3×(d±4)≡32
3d±12≡32
-12 -12
3d≡20
20÷3≡6 2/3
1. The sum of four consecutive whole numbers is 110. What is the sum of the least and the greatest of the four numbers?
Answers
Answer:
55
Step-by-step explanation:
the four number is 26+27+28+29
so 26+29=55
0.00897 written in scientific notation
Answers
Answer:
Scientific Notation: 8.97 x 10^-3
Answer:
8.97 to the -3 power
Step-by-step explanation:
6+ 12x + 36 = -8.5x - 40 equations with variables
Answers
Answer:
x=-4
Step-by-step explanation:
First, you would simplify the like terms on both sides of the equation to get 42 + 12x = -8.5x - 40
Second, you would want to add and subtract terms to get the X's on one side, and the whole numbers on the other.
12x + 8.5x = -40-42
Third, simply the terms.
20.5x=-82
Fourth, divide both sides by 20.5 to get the x on its own, and then you will have your answer of x=4.
Kyle incorrectly says that the product of - ( - 6 ) # ( - 1 ) is 6 . 11. After a recycling awareness program, the number of tons of recyclable material taken to the landfill is reduced by 13 7 tons per 7 11 77 a. What is the correct product? 10 month. Represent the total change in the b. What was Kyle's likely error?
Answers
Complete question:
Kyle incorrectly says that the product of - ( - 6 ) # ( - 1 ) is 6 . 11. After a recycling awareness program, the number of tons of recyclable material taken to the landfill is reduced by 13 7/10 tons per month. Represent the total change in the tons of recyclable material taken to the landfill after 7 months resulting from the awareness program a. What is the correct product? 10 month. Represent the total change in the b. What was Kyle's likely error?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Kyle incorrectly says that the product of - ( - 6 ) ( - 1 ) is 6
-(-6)(-1) = 6 [incorrect]
Correction:
-(-6) (-1) :
- (-6) = 6
6 (-1) = - 6
Given that reduction in materials = 13 7/10 tons per month
Monthly reduction = 13 7/10 = 137/10 tons
After 7 months : (7 * 137/10) = 959/10 tons = 95.9 tons
Change in amount of material taken to the land fill:
Initial amount - amount after 7 months
If initial amount = x
Change in amonnt = (x - 95.9) tons
Subtract 5x ^ 2 + 2x - 11 from 3x ^ 2 + 8x - 7 . Express the result as a trinomial.
Answers
Answer:
2x2−6x−4
Step-by-step explanation:
Let's simplify step-by-step.
5x^2+2x−11−(3x^2+8x−7)
Distribute the Negative Sign:
=5x^2+2x−11+−1(3x^2+8x−7)
=5x^2+2x+−11+−1(3x^2)+−1(8x)+(−1)(−7)
=5x^2+2x+−11+−3x^2+−8x+7
Combine Like Terms:
=5x^2+2x+−11+−3x^2+−8x+7
=(5x^2+−3x^2)+(2x+−8x)+(−11+7)
=2x^2+−6x+−4
Find the slope
4x - y = 8.
m=
Answers
Answer is 4
-y=-4x+8
y=4x-8
Answer:
4/1 or just 4
Step-by-step explanation:
4x - y = 8
subtract 4x from either side
-y = 8 - 4x
divided either side by -1
y = 8 + 4x
M= 4
Carlos works at a bicycle shop.
He earns $8 for each bicycle tire he repairs and $45 each week for cleaning the shop.
Which expression shows how much Carlos earns each week if
Answers
Answer: 360
Step-by-step explanation: Carlos earns 8x45