I WILL GIVE BRAINLY
[tex]x^{2} +9y^{2} =1[/tex] is an ellipse. The line y=mx+2 is tangent to the ellipse. Determine the value of ([tex]m^{2}[/tex]). Express your answer as an integer or as a common or improper fraction.
Answers
9514 1404 393
Answer:
m^2 = 35/9
Step-by-step explanation:
The line will be tangent to the ellipse where there is one point of intersection between the line and the ellipse. We can find that case by looking at the discriminant of the quadratic.
x^2 +9(mx +2)^2 = 1
x^2 +9(m^2x^2 +4mx +4) = 1
(9m^2 +1)x^2+36mx +35 = 0 . . . . subtract 1, collect terms
__
Then the discriminant is ...
(36m)^2 -4(9m^2 +1)(35)
We want it to be zero, so we have ...
1296m^2 -1260m^2 -140 = 0 . . . . eliminate parentheses
36m^2 = 140 . . . . . . . . . . . . . . . add 140
m^2 = 140/36 . . . . . . . . . . . . divide by 36
m^2 = 35/9
![I WILL GIVE BRAINLY[tex]x^{2} +9y^{2} =1[/tex] Is An Ellipse. The Line Y=mx+2 Is Tangent To The Ellipse.](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/lmYSfpBcQI2iZPRitQAVWUdtq1LumABi.png)
Related Questions
am i right ? i just need clarification
Answers
Answer:
yes!!
Step-by-step explanation:
#1 Describe the translation (slides) that
maps ABCD onto A'B'C'D'?
Answers
Answer: B
Step-by-step explanation: left 6, down 5
HELP DUE IN 5 MINS I JUST NEED THE ANSWER
Answers
Answer:
2
Step-by-step explanation:
[tex]\begin{cases} -3x -3\:\: for\:\: x<-2\\\\6x -28\: \: for\:\: x\geq 5 \end{cases}[/tex]
f(5) will fall in the interval x≥5 and its corresponding function is:
f(x) = 6x - 28
∴ f(5)= 6*5 - 28 = 30 - 28 = 2
Which of the following is a true statement?
Answers
Answer:
The first one is TRUE.
You would convert the 1/2 into 4/8 to compare them and you will see that 3/8 is less than 4/8 or 1/2
1/2 is bigger becuase let’s say u have a pizza and u don’t want small pieces of pizza we want a lot so we would go for 1/2
Help please
Brainiest answer to whoever is first
Answers
Answer:
84 inches squared
Step-by-step explanation:
perimeter = 6+7+5+10+15
= 43
Find the slope of the line
y = -5x + 5
Answers
Answer:
-5
Step-by-step explanation:
this is a y = mx + b equation. m is slope.
Answer:
-5
Step-by-step explanation:
When a linear function is in the form y=mx+b then m represents the slope of the line.
Which equation below will give a graph of a line parallel to the graph of -2x - 4y = 3?
Answers
Answer:
Any choice that has a slope of -1/2
Step-by-step explanation:
-2x - 4y = 3
-4y = 2x + 3
4y = -2x - 3
y = -1/2x -3/4
y = mx + b
m = slope
please answer and show step.
Answers
Answer:
i believe the answer is 25.
Step-by-step explanation:
this is because if a=how much money deposited after t= depositing weekly and 16 is being multiplied by t. that leads me to believe she deposits $16 weekly. therefore, her original deposit was $25.
tell me if this is incorrect.
Answer:
25
Step-by-step explanation:
In this equation, the original deposit was 25 dollars. The equation shows how much total money was in the account every week. It is written in slope-intercept form, which is y=mx+b, where m is the slope (how much the account is increasing each week) and b is the y-intercept (what was in the account after 0 weeks). This means 25 dollars must be the initial deposit because it is the total before any new weekly deposits.
i fr need help please find x
Answers
Answer:
14
Step-by-step explanation:
below is 12+2 which is the same size as the top one
how many cubic feet will it take to fill the prism below
Answers
the answer is a did you multiply then divide
Answer:
480
Step-by-step explanation:
Please help
Round your answer to the nearest hundredth
Answers
Answer:
∠ B ≈ 66.42°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{2}{5}[/tex] , then
∠ B = [tex]cos^{-1}[/tex] ( [tex]\frac{2}{5}[/tex] ) ≈ 66.42° ( to the nearest hundredth )
The amount of money earned on a job is directly proportional to the
number of hours worked. If $70,00 is earned in 5 hours, how much money
is earned in 22 hours of work?
Answers
Answer:
$308 is the correct answer. Please refer to the attachment. If not able to understand then please let me know, I will resend it wih proper explanation. Hope it helps you. Thanks.
Find the surface area of a triangle prism side of the right triangular base measure 9 cm 12 cm and 15 cm the height Prism is 20 cm
Answers
Answer:
I think its 20 cm
Step-by-step explanation:
Ellie earns money by raking leaves. She earns $2.25 for each bag she fills with leaves. This week, she earns $24,75. How many bags of leaves does Ellie fill this week? Show your work.
Answers
Answer:
she raked 11 bags of leaves
Step-by-step explanation:
24.75 divided by 2.25= 11
just need help with the way. thanks!
Answers
Answer:
KN ≈ 20.7 cm
Step-by-step explanation:
Using Pythagoras' identity in right triangle KLM to find KM
LM² = KL² + KM²
28² = 16² + KM²
784 = 256 + KM² ( subtract 256 from both sides )
528 = KM² ( take the square root of both sides )
[tex]\sqrt{528}[/tex] = KM
----------------------------------------
Using the sine ratio in right triangle KMN
sin64° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KN}{KM}[/tex] = [tex]\frac{KN}{\sqrt{528} }[/tex] ( multiply both sides by [tex]\sqrt{528}[/tex]
[tex]\sqrt{528}[/tex] × sin64° = KN , that is
KN ≈ 20.7 cm ( to 1 dec. place )
look at the pic plsss it’s due today:(
Answers
Answer:
the mean is 3.95
median is 2.75
Step-by-step explanation:
I'd say that the mean is the better center, because you need to even it all out. you have one big number compared the rest.
The median is a better center for this data since since that number is the common size of acres not the highest or lowest acre per 1000 residents
Which weighs more: a puppy that weighs 8.5 kilograms or a baby that weighs 11 pounds? Explain your reasoning.
Answers
Answer:
a baby weight more because the baby will grow and will weight more then a puppy
Step-by-step explanation:
Answer:
A puppy that weights 8.5 kilograms weighs more.
Step-by-step explanation:
A puppy that weights 8.5 kilograms weighs more. Why? Well if you convert the 11 pounds from the baby to kilograms it would equal about 5 kilograms. The puppy's weight in kilograms is 8.5 and its weight in pounds is 18.7, while the baby's weight in kilograms is 5 and it's weight in pounds is 11.
Puppy's Weight Kilograms: 8.5
Puppy's Weight Pounds 18.7
Baby's Weight Kilograms: 5
Baby's Weight Pounds: 11
Weight in Kilograms: Puppy: 8.5 > Baby: 5
Weight in Pounds: Puppy: 18.7 > Baby: 11
Therefore, the puppy is heavier.
(If this answer was helpful please mark me brainliest)
pls help i only have 10 minutes on my math test!!
the ratios are
8:5 ?????:10
Answers
Answer:
yes
Step-by-step explanation:
0.2
y is inversely proportional to V1+x.
When x=8, y = 2.
Find y when x = 15.
Please help me with this real quick!
Answers
Answer:
y = 1.5
Step-by-step explanation:
Given y is inversely proportional to [tex]\sqrt{1+x}[/tex] , then the equation relating them is
y = [tex]\frac{k}{\sqrt{1+x} }[/tex] ← k is the constant of variation
To find k use the condition when x = 8, y = 2 , then
2 = [tex]\frac{k}{\sqrt{1+8} }[/tex] = [tex]\frac{k}{\sqrt{9} }[/tex] = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )
6 = k
y = [tex]\frac{6}{\sqrt{1+x} }[/tex] ← equation of variation
When x = 15, then
y = [tex]\frac{6}{\sqrt{1+15} }[/tex] = [tex]\frac{6}{\sqrt{16} }[/tex] = [tex]\frac{6}{4}[/tex] = 1.5
An employee does not pay tax on the first $4000 of earnings and then 25% tax on the rest of earnings. If he wants to have $20000 net of tax earnings does he need
Answers
Answer:
$68000
Step-by-step explanation:
Tax free earning = first 4000
Tax on remaining amount = 25%
Total earning in other to have $20000 net of tax earning :
Net of tax = tax free earning + (25% * remaining amount)
Let remaining amount = x
20000 = 4000 + (0.25 * x)
20000 = 4000 + 0.25x
20000 - 4000 = 0.25x
16000 = 0.25x
x = 16000 / 0.25
x = 64000
Hence,
Total earning should be :
Tax free earning + roaming amount
4000 + 64000
= $68000
A bag contains 8 blue marbles, 11 green marbles, and 7 red marbles. Which is the probability of drawing a green marble, replacing it AND then drawing a red marble from the bag?
A. 18
B. 77/676
C. 9/13
Answers
Answer:
I think it would be C. 9/13.
Answer:
B
Step-by-step explanation:
11/26 x 7/26 = 77/676
SOMEONE PLS HELP WITH THIS!!!!!!!!
Answers
Answer:
either 240 ft or 300 ft
a
n
s
w
e
r
p
l
e
a
s
e
Answers
Answer is 16 because 16/4 = 4 + -12 = -8
Answer:
m=16
Step-by-step explanation:
-8=m/4+(-12)
4=m/4
16=m
so first, you add 12 to the other side to cancel out the -12. 12-8=4. so now you have 4=m/4. to isolate the m, you have to multiply by 4 on both sides, which gives you 16=m or m=16.
i hope this helps :)
Can you help me please due today?...
Answers
20x10
That Will equal 200
Ty!!!
Lmk if helps
Complete the Area Model by dragging the response to the correct location/
Answers
Answer:
x2, 6x, 4x2
Step-by-step explanation:
Answer: x2 , 6x , 4x , 24 .
Step-by-step explanation: i got it wrong but it did tell me the correct answer !
Dan buys a car for £1700.
It depreciates at a rate of 4% per year.
How much will it be worth in 4 years?
Give your answer to the nearest penny where appropriate
Answers
Answer: £2080.00 :)
hope it helps
In circle A, ∠BAE ≅ ∠DAE.
Answers
Answer: the length of BE is 27
Find the value of x.
Answers
Answer:
45 degrees
Step-by-step explanation:
Before we start, it is important to know that the sum of all angles of a triangle adds up to 180. Since one of the angle measure is already given to us, 90, we can subtract this from 180.
180-90=90
This tells us that the two remaining angles will add together to equal 90. In addition, it also tells us that the two remaining angles are equal. This means we can divide 90 by 2, and it leaves us that x= 45 degrees.
You can see that this is a right triangle so one of the angles equals 90°. 180-90= 90°.
Now we can see the remaining two angles add up to 2x. So if we put all our work together 2x= 45°.
Divide both sides by 2 to get x alone
And we come to that x equals 22.5.
x= 22.5°
what is 4/9 in the simplest form?
Answers
Answer:
it already is in simplest form
Step-by-step explanation:
4/9 is the simplest form. There is no way to simplify it further.
If this is incorrect, please, don't refrain to tell me. Thank you.
PLEASE HELP ME WITH THIS !!