From the equation of the elipse, we have that:
The endpoints of the major axis are: [tex]x = -4[/tex] and [tex]x = 8[/tex]The endpoints of the minor axis are: [tex]y = -3 - \sqrt{24}[/tex] and [tex]y = -3 + \sqrt{24}[/tex].The equation of an elipse of center [tex](x_0,y_0)[/tex] has the following format:
[tex]\frac{(x - x_0)^2}{a^2} + \frac{(y - y_0)^2}{b^2} = 1[/tex]
If a > b, we have that:
The endpoints of the major axis are: [tex]x = x_0 \pm a[/tex]The endpoints of the minor axis are: [tex]y = y_0 \pm b[/tex]In this problem, the equation is:
[tex]\frac{(x - 2)^2}{36} + \frac{(y + 3)^2}{24} = 1[/tex]
Thus [tex]x_0 = 2, y_0 = -3, a = 6, b = \sqrt{24}[/tex]
For the major axis:
[tex]x = x_0 \pm a[/tex]
[tex]x = 2 \pm 6[/tex]
[tex]x = 2 - 6 = -4[/tex]
[tex]x = 2 + 6 = 8[/tex]
The endpoints of the major axis are: [tex]x = -4[/tex] and [tex]x = 8[/tex]
For the minor axis:
[tex]y = y_0 \pm b[/tex]
[tex]y = -3 \pm \sqrt{24}[/tex]
[tex]y = -3 - \sqrt{24}[/tex]
[tex]y = -3 + \sqrt{24}[/tex]
The endpoints of the minor axis are: [tex]y = -3 - \sqrt{24}[/tex] and [tex]y = -3 + \sqrt{24}[/tex].
A similar problem is given at https://brainly.com/question/21405803
Answer:
joaobezerra is right its just a bit confusing to understand but here you go
Step-by-step explanation:
is this sss or sas or asa or aas
Answer:um
Step-by-step explanation:
can someone help me with this? PROBABILITY QUESTION
A psychologist plans an experiment in which subjects draw an object based on a verbal description. For each trial, one person draws, one reads the description, and one records how long it takes to get a successful drawing.
From a group of 8 people, in how many ways can the psychologist select a person to draw, a person to read, and a person to record time?
Answer:
336
Step-by-step explanation:
just took the test
The correct answer is 336.
How many ways can the psychologist select a person to draw, a person to read, and a person to record time?
By using the arrangement calculation formula:
⇒ [tex]A^{3}[/tex][tex]^{8}[/tex]
⇒ 8 × 7 × 6
⇒ 336
The correct answer is 336.
How do you calculate an arrangement?Remember that combinations are a way to calculate the total outcomes of an event where the order of the outcomes does not matter. To calculate combinations, we will use the formula NCR = n! / r! * (n - r)!, where n represents the number of items, and r represents the number of items being chosen at a time.
Learn more about arrangement calculation formula here: brainly.com/question/251701
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Solve this problem using your knowledge. Problem #20.
Answer:
I did this
Step-by-step explanation:
PLZZZZZZZZZ HELPPPPPPPPPPPPP
On a bicycle Jack can travel 20 miles in 4 hours What are the unit ratios in this situation?
please help me
3x≤21
x≤__?
Answer:
divide both sides by 3
givea you
x<= 7
How many solutions does it have?
6x-3y=-18
-2+4y=18
Answer:
a) 8x-6y=9 b)4y-9y=9 c)3x+6y=15 d)10x-y=23
a) 12x-9y=6 b) 6x-5y=8 c)-9x-18y=-45 d)5x-2y=-46
Step-by-step explanation
1944 divided by 32.40
Answer:
60
Step-by-step explanation:
calculator
60
Step-by-step explanation:[tex] \sf 1944 \div 32.40[/tex]
[tex] \sf = \frac{1944}{32 \frac{2}{5} } [/tex]
[tex] \sf = 1944 \div 32 \frac{2}{5} [/tex]
[tex] \sf = 1944 \div \frac{162}{5} [/tex]
[tex] \sf = \frac{9720}{162} [/tex]
[tex] \sf = \frac{60}{1} [/tex]
= 60
Conclusion:1944 divided by 32.40 is 60.
Heath measured the wheelbase on his bike. This is the distance from where
the front wheel touches the ground to where the back wheel touches the
ground. He found that the length was 4 feet 5 inches.
1 foot = 12 inches
4A 5 in.
What is the wheelbase of his bike in inches?
Answer:
ground. He found that the length was 4 feet 5 inches.
1 foot = 12 inches
4A 5 in.
What is the wheelbase of his bike in inches?
how many significant figures are in the measurement 4857.168 cm?
how do i get the answer?
Answer:
37
Step-by-step explanation:
3 to the 3rd power is 3x3x3=27, (-5x-2)=10 because two negatives cancel each other out and make a positive, add 27 and 10 and that equals 37. Hope this helps :)
At a department store, a woman's total was $284.00 for 7 items.
Answer:
40.5714
Step-by-step explanation:
Based on the given conditions, formulate: 284 ÷ 7
Evaluate the equation/expression: 40.5714
get the result: 40.5714
Answer: 40.5714
there are 100 total seats in a theater. Of these seats, 16 are broken. What percent of the seats are NOT broken?
84% of the seats in the theater are not broken.
Answer:
84%
Step-by-step explanation:
can anyone please send the answer with steps please
if nonsense answers I will report so please answer property
the scale of a model skyscraper is 5cm:150 meters. what distance is represented by 1cm?
Answer:
30 meters
Step-by-step explanation:
150/5
there is 12 bears and the others 3 bears are playing.How many bears are there?
Answer:
15 bears
Step-by-step explanation:
Answer:
ion know if this is a joke but 15 bears
Can someone help me find m
Answer:
69 degrees
Step-by-step explanation:
m is a point, if your trying to find lkh, is 69
lkm=111, and jkl=180, so 180-111=jkm
jkm=69
angles that are diagonal from each other are the same degree
lkh=69
hope this helps, if not see me in the commnets
HOPE THIS HELPS, BRAINLIEST PLEASE
Answer:
m < LKH = 69°
Step-by-step explanation:
Given that m < LKM = 111° and that:
<LKM and <LKH are adjacent angles as they share the same vertex, point K, and same ray between them, KL:
Then we can assume that m < LKM and m < LKH are supplementary angles whose sum = 180°.
Therefore, we can establish the following equation:
m < LKM + m < LKH = 180°
111° + m <LKH = 180°
Subtract 111° from both sides to solve for m < LKH:
111° - 111° + m <LKH = 180° - 111°
m < LKH = 69°
Therefore, the measure of < LKH is 69°.
Please mark my answers as the Brainliest if you find my explanations helpful :)
Please help asap, correct answer will get brainliest
Answer:
im not sure if my answer is correct
What's the gradient of the blue line?
what is the standard form of of a line with a slope of -3/2 that passes through the point (4,-1)
Answer:
y=[tex]-\frac{3}{2}x-5[/tex]
Step-by-step explanation:
Use the point slope formula
[tex]y-y_1=m(x-x_1)[/tex]
y-1=[tex]-\frac{3}{2}[/tex](x-4)
Multiply -3/2 by (x-4) which equals -3/2x-6
Move the 1 by adding to both sides
The gives us y=[tex]-\frac{3}{2}x-5[/tex]
80°
50°
Зc +2°
C=.
Can i get a step by step or a video on this?
Answer:
C= 19.333333(Its infinite)
How can I make a division equation from this
Answer:
x over y , but you'll have to do y over x to get the answer .
What is the interquartile range (IQR) of the data set represented by this box
plot?
38
45
50
68
75
Answer: The answer is 23
Step-by-step explanation: The answer i got correct on site
Evaluate (m^4 + 5)−n^3 if m=−2 and n=−4 .
Answer:
85
Step-by-step explanation:
m = -2 and n = -4, Plug in:
(m^4 + 5) - n^3
( (-2)^4 + 5 ) - (-4)^3
( 16 + 5 ) - (-64)
21 + 64
85
What is -2x+21
nnnnnnnnnnn
Answer:
the pic or its 19x
Step-by-step explanation:
can I have brainlist
SOLVE FOR X PLZZZZZZ
Answer:
x=5
Step-by-step explanation:
Since these angles are vertical angles formed by two parallel lines being intersected by another vertical line, you can set the 18x and 17x+5 equal to each other. Then you solve using algebra. I hope this helps!
Answer:
x=5
Step-by-step explanation:
Because they both equal 90°, you can use the equations, 18x=90 and 17x+5=90 to solve.
First, 18x= 90: (Divide by 18)
x=5
Now, 17x+5=90: (Subtract 5 from both sides)
17x= 85
Then divide by 17:
x= 5
Hope this helps!
What is the quotient of 4.644 x 10^8 and 6.45 x 10^3 expressed in scientific
notation?
Answer:
7.2 x 10^4
Step-by-step explanation:
The quotient of 4.644 x 10⁸ and 6.45 x 10³ expressed in scientific notation is 7.2 x 10⁴.
What is the quotient of division?The quotient of 4.644 x 10⁸ and 6.45 x 10³ expressed in scientific notation, is calculated as follows;
(4.644 x 10⁸) / (6.45 x 10³) = (4.644 / 6.45) x (10⁸ / 10³)
Calculating the division:
= 72,000
Now, we need to express the result in scientific notation. Move the decimal point to the left until there is only one non-zero digit to the left of the decimal point.
= 72,000
= 7.2 x 10⁴
So, the quotient of 4.644 x 10⁸ and 6.45 x 10³ expressed in scientific notation is approximately 7.2 x 10⁴.
Learn more about quotient here: https://brainly.com/question/11418015
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find the measure of angle b
Answer:
answer ix c becauze the opposite angle is 48
Find the distance between -2 3/5 and -2 3/10 on a number line.
Can anyone explain this to me?
Answer:
Option C
Step-by-step explanation:
Long division or synthetic division. Look up these two techniniques.