solveeeeweee: y=3*1^2
The vertices of an ellipse are (0,-1) and (8,-1). The endpoints of the minor axis are (4,1) and (4,-3). Write the equation of the ellipse in general form
Answer:
x^2+4y^2-8x+8y+4=0
Step-by-step explanation:
The general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.
What is an ellipse?An ellipse can be defined as a shape that looks like an oval circle.
The equation of an ellipse is
[tex]\dfrac{\left(x - h\right)^{2}}{a^{2}} + \dfrac{\left(y - k\right)^{2}}{b^{2}} = 1[/tex]
Where (h, k) is the center a and b are the lengths of the semi-major and the semi-minor axes.
The vertices of an ellipse are (0,-1) and (8,-1).
The endpoints of the minor axis are (4,1) and (4,-3).
The following equations take into account the different properties of an ellipse:
[tex]k = -1k=−1, h^{2} = a^{2}h 2 =a 2 , \left(h - 8\right)^{2} = a^{2}[/tex]
[tex]\begin{cases} b = 2 \\ k = -1 \\ h^{2} = a^{2} \\ \left(h - 8\right)^{2} = a^{2} \end{cases}[/tex]
We get that h = 4 k = -1, a = 4, and b = 2
The standard form of the given ellipse is
[tex]\dfrac{\left(x - 4\right)^{2}}{4^{2}} + \dfrac{\left(y + 1\right)^{2}}{2^{2}} = 1[/tex]
So the general form will be as : x² +4y² - 8x + 8y + 4 = 0.
Thus, the general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.
Learn more about ellipses here:
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The number of patients treated in a dental office each day was recorded for 8 days. Find the mean, median, and mode for this set of numbers.
5, 25, 25, 25, 11, 20, 25, 16
a.
mean: 25, median: 22.5, mode: 19
c.
mean: 19, median: 22.5, mode: 25
b.
mean: 19, median: 25, mode: 22.5
d.
mean: 22.5, median: 19, mode: 25
Answer:
I don't understand
Step-by-step explanation:
Ok so if you help out I’ll give that brain thing but you have to put a correct answer thanks :)))
Answer:
135
Step-by-step explanation:
green = 10 blue and 15 yellow
10*9=90 and 15*9=135
Answer:
135 cups of yellow paint
Step-by-step explanation:
Please help me
Will mark as brilliant<3
Answer:
day on will be 5 day two will be 8 day 5 is 17 day 7 is 23
Step-by-step explanation:
Please help thank you so mich
Answer:
15w = s
Step-by-step explanation:
When you look at the graph, after one week, Michael has earned 15 dollars. So if you're trying to find the amount for w weeks, you would multiply 15 by w to get s, the amount of money in Michael's account.
Hope this helps!
Hedgehog68
What is the perimeter of this polygon?
a
28 units
26 units
22 units
24 units
Evaluate the given algebraic expression for x = 2 and y= 3.
-Зху
-6
-12
-18
-24
Answer:
-18
Step-by-step explanation:
-3xy,X=2 ,y=3
-3(2)(3)
-3(6)
=-18
which tree was the tallest when it was first planted
Answer:
Tree c
Step-by-step explanation:
its c lol
a is given (5)
b is given (3)
c says it on the graph at zero months
15-a=20 what is the vaule of a?
Answer:
15a=20
a=20/15
a=4/3
ok
Answer:
a=-5
Step-by-step explanation:
15-a=20
Solve for a.
15-20=a
-5=a
can someone help me please
Answer:
So since ypu already know this just think hard a dig deeper
Step-by-step explanation:
Answer:
rhombus
Step-by-step explanation:
solve by using the quadratic formula
x^2-4x=-2
Answer:
x=2+[tex]\sqrt[]{2}[/tex] or x= 2-[tex]\sqrt[]{2}\\[/tex]
Step-by-step explanation:
12.
ΥΥΥΥΥ
help please
Answer:
لطفا دانش مغز بزرگ من تست من قاشق تخم مرغ لاک پشت راه من را از طریق شما
Step-by-step explanation:
Answer:
I believe th e andwer to that is y5
The sum of two numbers is 30. One number is 12 more than the other. Find these two numbers.
Answer:
21 and 9 are the numbers
Step-by-step explanation:
check by doing 21 minus 9, they also add into 30 together. if you haven't already figured it out.
A bag contains 10 red, 3 blue, and 2 yellow marbles. If 3 marbles are selected one at a time with replacement, find the probability that all three are different colors
Answer:
4/225
Step-by-step explanation:
To get 3 marbles that all three are different colors, we need to get a red, blue, and yellow marble (not necessarily in that order)
So we get the probability of getting each with replacement (meaning they are all out of 15) and multiply them.
The probability of getting a red is:
10/15 = 2/3
The probability of getting a blue is:
3/15 = 1/5
The probability of getting a yellow is:
2/15
So to get all 3 different colors:
2/3 * 1/5 * 2/15 = 4/225
Which inequalities are true? Select the four correct answers.
StartRoot 5 EndRoot less-than 2.3 less-than StartRoot 6 EndRoot
StartRoot 5 EndRoot less-than 2.4 less-than StartRoot 6 EndRoot
StartRoot 4 EndRoot less-than StartRoot 5 EndRoot less-than StartRoot 5.5 EndRoot
StartRoot 8 EndRoot less-than 3 less-than StartRoot 9 EndRoot
StartRoot 8 EndRoot less-than 2.9 less-than StartRoot 9 EndRoot
StartRoot 4 EndRoot less-than 4.5 less-than StartRoot 5 EndRoot
PlS HURRY 10 POINTS!!!!!!
Answer:
A.
B.
C.
F.
Step-by-step explanation:
It might be wrong but im about to finish
Edit: This is incorrect
Answer:
abce
Step-by-step explanation:
I'm still doing the test, but I will send a screen picture once I'm done.
What value of x makes the equation 3(x – 6) = 8x – 3(3x + 7) true?
Answer:
I believe that x = -3/4 makes the equation true.
Step-by-step explanation:
3(-3/4 - 6)=8x - 3(3x + 7) is a true value equation.
I hoped this helped you answer your question.
Answer:
The answer is -3/4
Step-by-step explanation:
Feel free to give brainliest
Have an amazing day!
Examine the diagram. It is not drawn to scale.
A triangle has angles A, B, 80 degrees. The exterior angle to angle A is 150 degrees.
Choose the statements that are true based on the diagram.
∠A is supplementary to the exterior angle.
∠A and the 80° angle are remote interior angles.
80° + m∠B + 150° = 360°.
∠B measures 70°.
∠A measures 40°.
Answer is the picture.
Answer:
the first one should be:
360,
60,
150,
90
Step-by-step explanation:
let me know if I'm wrong
need help ASAP ,
-40 points
Answer:
A
Step-by-step explanation:
MK and KM are the same line segment
and JKM and LMK share two angles K and M as well as the side of MK or KM making it a Side.Angle.Side
Expression A Expression B Expression C (−5)(−0.4)(1.8) (-45)(-19)(-112) −1(5+17) Expression D Expression E Expression F (−5)(−0.4)(1.8)(−3.25) (-49)(-34)(-12)(-12) −1(3.5−7) How many expressions will have a product that is positive?
Answer:
Expressions A, E, and F
Step-by-step explanation:
In general, when negative integers are multiplied; if the negative integers are even, then the product would be positive. But if the negative integers are odd, then the product would be negative.
Thus,
A. (−5)(−0.4)(1.8) = (2.0)(1.8)
= 3.6
B. (-45)(-19)(-112) = (855)(-112)
= -95760
C. −1(5+17) = -1(22)
= -22
D. (−5)(−0.4)(1.8)(−3.25) = (2.0)(-5.85)
= -11.7
E. (-49)(-34)(-12)(-12) = (1666)(144)
= 239904
F. −1(3.5−7) = -1(-3.5)
= 3.5
Thus expressions A, E and F have positive products.
Solve for x given BD = 2x + 3 and AE = 6x + 4 . Assume B is the midpoint of overline AC and D is the midpoint of overline CE.
Answer: 1
From the second sentence, we have AB = BC = CD = DE = y. So AE = 4y and BD = 2y (you can see by drawing a diagram), and AE = 2BD. Substituting 2x + 3 for BD and 6x + 4 for AE in AE = 2BD, we have 6x + 4 = 2(2x + 3), 6x + 4 = 4x + 6. Solving, we see x = 1.
i hope this helped! :D
Seven less than 4 times the square of a number is 18. Find the two numbers.
The two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2
Let the unknown number be "x"
The square of an unknown number is expressed as x²4 times the square of a number is 4x²Seven less than 4 times the square of a number is 4x² - 7If the resulting expression is 18, this will be expressed as 4x² - 7 = 18
Solving the resulting expression
[tex]4x^2-7=18\\4x^2= 18+7\\4x^2=25\\x^2=\frac{25}{4}\\x=\pm \frac{5}{2}[/tex]
Hence the two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2
Learn more here: https://brainly.com/question/13805464
I NEED HELP PLEASE
The amount y of your friend's allowance if the amount she receives is $8 more than the amount x you receive.
Answer:
y=x+8 because your friend's allowance is y but also $8 more than yours, x. x+8 is her allowance so x+8=y
5x - 22 = -7
someone pls help me with that
What is the product?
7 × 0.4 =
Answer:
2.8
Hope this Helps!
Coach Burns charted the change in his runners’ 5K times from the first race of the year to the second race of the year. Which student improved the most by decreasing the time needed to run the race? PLEASE HELP IM ON A EXAM!!!
Answer:
student a
Step-by-step explanation:
i just took the exam
If Triangle ABC~trIangle DEC, find the value of x and y."
Answer:
The right answer would be (D) x = 1.
Step-by-step explanation:
So since triangles ABC and DEC are congruent to each other, your gonna try to find the value of x. So from the figure we know that AB = 4x - 1, BC = 4, AC = 5, DE = x+2, CE = 4 and EC = 5. And since ΔABC ≅ ΔDEC the corresponding sides would be equal. And after, we will have :
AB = DE
4x - 1 = x + 2
4x - x =2 + 1
3x = 3
x = 1
So, as it shows, the value of x is one. So (D) x = 1 is the right answer. Hope this helped! :)
solve for X. 120=4x
Please help me!
Answer:
X=30
Step-by-step explanation:
1. Divide both sides by 4X to create zero pairs
2. 120/4= 30
Answer:
The answer is 30
Step-by-step explanation:
y is directly proportional to x. When y = 24, ,x=8. Work out the value of y when x=2
Answer:
When x = 2, y = 6
Step-by-step explanation:
Constant of Proportionality: y = kx
(24) = k(8)
24 = 8k
k = 3
y = kx ===> y = 3x
When x = 2:
y = 3x
y = 3(2)
y = 6
What is the solution to the equation?
13 3/4 + x = 7 1/4
A. X = 6 1/4
B. X = 6 1/2
C. X = 20
D. X = 21
(Edg. 2020)
Answer: B
Step-by-step explanation:
Answer:
X= -6.50
Step-by-step explanation:
Explanation is in the picture above