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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You are given the expression 12x + 18y +26
A man's wedding ring has an inside diameter of 2 cm. Which measurement would be a close estimate to the circumference around the man's finger, assuming his ring is a perfect fit
Answer:
4 cm
Step-by-step explanation:
And adopt blinks about 450 times in 30 minutes a 12 year old blinks about 150 times in 15 minutes how many more times does an adult blink in 60 minutes then a 12 year old
Answer:
EASY.
Step-by-step explanation:
DWndf liFBWwfbbhfaifBFfbayfWabfwyabfab fBAfByhWE8bu
8=8v-4(v+8)
Solve this equation
Answer:
v = 10
Step-by-step explanation:
8 = 8v - 4(v+8)
Solve parenthesis
8 = 8v - 4v - 32
Subtract 4v from 8v
8 = 4v - 32
Add 32 on both sides
40 = 4v
Divide by 4 on both sides
10 = v
.
.
38% of the animals are dogs.
40% of the animals are spotted.
12% of the animals are spotted dogs.
What percent of the animals in the store are spotted or dogs?
O A. 54%
O B. 66%
O C. 78%
O D. 80%
Answer:
B
Step-by-step explanation:
Answer:B
Step-by-step explanation:
Determine the 14th term of the sequence -4, 8, -16, ...
Answer:
32
Step-by-step explanation:
[tex]r=-2,\:a_n=-4\left(-2\right)^{n-1}[/tex]
if u can do this please answer it, it will be a MAJOR HELP!!
Answer:
A) you puy the input (x) into the equation, solve it and it results in the output :)
b) 17 , 12 , 7 , 2 , -3, -8 , -13
Step-by-step explanation:
i hope this helps, please mark brainliest if so.
The table shows the cost of ride tickets at the fair. What is
the unit rate for one ride ticket?
Answer:
J
Step-by-step explanation:
$15/20= 0.75
4n - 8 in word form please help
Answer:
a product of 4 times a number(n) minus 8
Step-by-step explanation:
let n be the number
4 times (multiply) a number (n) - 8
Please help it’s for a test whoever answers correct I’ll give you a Brainly
Answer:
they both charge the same cost per linear feet
Step-by-step explanation:
It appears that each company has a base charge for installation, which is the dollar value where each line begins at the y-axis. Both lines have the same slope and if you count, the cost is $75 per 5 linear feet.
In the inequality, 3x>9, can x=3?
Yes or no
Step-by-step explanation:
no
because it will become
3(3)>9
9>9
it must be more than 9 unless the symbol is
[tex] \geqslant[/tex]
Help please tell me what the answer is ASAP
Answer:
The approximated length of EF is 2.2 units ⇒ A
Step-by-step explanation:
The tangent ratio in the right triangle is the ratio between the opposite side to the adjacent side of one of the acute angle in the triangle
In the given figure
∵ The triangle DFE has a right angle F
∵ The opposite side to angle D is EF
∵ The adjacent side to angle D is DF
→ By using the tangent ratio above
∴ tan(∠D) = [tex]\frac{EF}{DF}[/tex]
∵ DF = 6 units
∵ m∠D = 20°
→ Substitute then in the ratio above
∴ tan(20°) = [tex]\frac{EF}{6}[/tex]
→ Multiply both sides by 6
∴ 6 tan(20°) = EF
∴ 2.183821406 = EF
→ Approximate it to the nearest tenth
∴ 2.2 = EF
∴ The approximated length of EF is 2.2 units
323 is what percent of 475?
Answer:
68%
Step-by-step explanation:
The value of X2 + 6x + 9 for x =4 is
Answer:
41
Step-by-step explanation:
putting x into the eqn
If I made $1,000 every 2 minutes, how much would I have in an hour?
Answer:
$30,000
Step-by-step explanation:
There are 60 minutes in an hour. There are 30 two minutes in 60 minutes. 30*1,000 = 30,000.
Answer:
1 hour=60min
60min=60/2×1000
=$30000
Step-by-step explanation:
Plz help i will give 15 pointssss plz
helllllp pls my grade is depending on it
The Gwinnett Diner bought 44,000 plastic spoons for To-Go orders. If
each package contains 400 plastic spoons, how many packages did the
Gwinnett Diner buy?*
Answer:
110 packages
Step-by-step explanation:
we just do 44,000 ÷ 400. to proof check, do 110 (your answer) × 400. it equals 44,000 so we know its right
What is as light as a feather but the strongest man cannot hold for long?
I will give brainliest whoever answers this first
Answer:
Breath
Step-by-step explanation:
Breath is very light. But, strong people can't necessarily hold their breath for that long of a time.
An architect increases the radius of a circle window by 20 percent. By what percent did the area of the circle window increase? PLEASE HELP
Answer:
Step-by-step explanation:
44% Lad
Solve x2 + 2x + 9 = 0.
Ox=-2+/- 4i 2
Ox=-2 +/- 2i 2
Ox=-1 +/- 4i 2
Ox=-1 +/-2i 2
Answer:
the last one is the correct one
The figures below are similar. The labeled sides are corresponding.
j
6.8 mm
If the ratio of the triangles' perimeters is 3:4, what is j?
j= ____ millimeters
URGENT.
Answer:
is this for edmentum
Step-by-step explanation:
please help!!
The solution of the equation is x = ?
.
Answer:
as below
Step-by-step explanation:
[tex]\frac{2}{7}[/tex] = [tex]\frac{6x}{4x + 17}[/tex]
2(4x + 17) = 7(6x)
8x +34 = 42x
34 = 42x-8x
34 = 34x
[tex]\frac{34}{34}[/tex] = x
1 =x :)
Does this graph represent a proportional relationship? Why or Why
not?
Answer:
No because lines with proportional relationships have to go through The origin which is (0, 0).
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Slope- Represented by ____ in y = mx + b (what's the blank?)
Answer:
2y
Step-by-step explanation:
Will give BRAINLIEST HELLLLPPP PLZZZZZ
Answer:
but I really don't know bro please mark me as brainliest
i need help will give brainlyest
Answer:
a and b
Step-by-step explanation:
-8, -6, -4
-10, -6, 0
the fraction 7/9 produces a repeating decimal
0.7
A. true
B. false
Answer:
false for 0.7 it would have to be 7/10
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
What is the y intercept
The graph
X Y
-2 3
-1 5
0 7
1 9
2 11
Answer:
0 7
Step-by-step explanation:
at the Y- intercept the value of x is zero
Does the table represent a function?how do you know
