Answers
Answer:
The length of the shortest side of the triangle is 10 units.
Step-by-step explanation:
Let a be the shortest side of the isosceles triangle and b be the two congruent sides.
The congruent sides b are each one unit longer than the shortest side. Hence:
[tex]b=a+1[/tex]
The perimeter of the isosceles triangle is given by:
[tex]\displaystyle P_{\Delta}=b+b+a=2b+a[/tex]
This is equivalent to the perimeter of a square whose side lengths are two units shorter than the shortest side of the triangle. Let the side length of the square be s. Hence:
[tex]s=a-2[/tex]
The perimeter of the square is:
[tex]\displaystyle P_{\text{square}}=4s=4(a-2)[/tex]
Since the two perimeters are equivalent:
[tex]2b+a=4(a-2)[/tex]
Substitute for b:
[tex]2(a+1)+a=4(a-2)[/tex]
Solve for a. Distribute:
[tex]2a+2+a=4a-8[/tex]
Simplify:
[tex]3a+2=4a-8[/tex]
Hence:
[tex]a=10[/tex]
The length of the shortest side of the triangle is 10 units.
Related Questions
The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?
14
16
18
20
Answers
Answer:
18
Step-by-step explanation:
Let
S = sum of the measures of the interior angles of a polygon
n = number of sides of a polygon
The equation is
S = (n - 2) * 180°
Where,
S = 2,880°
S = (n - 2) * 180°
2,880° = (n - 2) * 180°
2,880° = 180°n - 360°
2,880° + 360° = 180°n
3,240° = 180°n
Divide both sides by 180°
n = 3,240° / 180°
n = 18
Good evening everyone, the correct answer is 18 sides.
A polygon with 18 sides' interior angles will add up to 2880 degrees.
Have a blessed night.
if equation by parabola is given by, p(x) = x^2 -5x + 6 then its factors are:
A. (x-3)
B. (x-2)
C. Both (a) and (b)
D. None of the above
Answers
Answer:
x^2-2x-3+6=0
(x-2x)-(3x+6)=0
x(x-2)-3(x-2)=0
(x-3)(x-2)=0
x-3=0 or x-2=0
x=3or x=2
Please help me if you don't mind
Answers
Answer:
ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|biyhk5f7eej3rj6rjj you b. uthmv. ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|
Answer:
[tex]18-x^{2} = 2[/tex]
Step-by-step explanation:
The value of x is given as -4
The expression is given as [tex]18-x^{2}[/tex]
Substitute -4 in the value of x:
[tex]18-(-4)^{2}[/tex]
{add the value given inside the bracket to avoid mistakes in the answer}
[tex]=18-(-4)^{2}[/tex]
[tex]=18-16[/tex]
[tex]=2[/tex]
hope this helps...
have a great day ahead :)
Find ten rational numbers between -1 by 5 and 1 by 2
Answers
Answer:
Step-by-step explanation:
First both the rational numbers should have same denominators. So, find least common denominator
Least common denominator is 10
[tex]\frac{-1}{5}=\frac{-1*2}{5*2}=\frac{-2}{10}\\\\\\\frac{1}{2}=\frac{1*5}{2*5}=\frac{5}{10}\\\\\\[/tex]
Now multiply the numerator and denominators of the both the numbers by 10.
[tex]\frac{-2*10}{10*10}= \frac{-20}{100} \ and \ \frac{5*10}{10*10}=\frac{50}{100}\\\\\\Now\ 10 \ rational \ numbers \ between\frac{-20}{10} \ and \ \frac{50}{100} \ is \\\\\\\frac{-19}{100},\frac{-18}{100},\frac{-17}{100},\frac{-16}{100}.\frac{-15}{100},\frac{-14}{100},\frac{-13}{100},\frac{-12}{100},\frac{-11}{100};\frac{-10}{100}[/tex]
What is a counterexample to this claim?
All quadrilaterals are parallelograms.
OA a rectangle
OB.
a rhombus
ОС. .
a square
OD.
a trapezoid
Answers
Answer:
The answer is D.
Step-by-step explanation:
what most likely caused the man in the caravan to come to the farmhouse where elisa lived? a.he had lost his dog in the vast,open areas b.he needed to purchase supplies c.the country roads confused him d. he was looking for an adventure
Answers
Answer: A. He had lost his dog in the vast, open areas.
Step-by-step explanation:
The Chrysanthemums" is a story about a woman whose name was Elisa Allen. She was frustrated about her present condition as she didn't have a child and her husband didn't find her romantically pleasing.
In the book, the reason why the man in the caravan came to the farmhouse where Elisa stayed was because he had lost his dog in the vast, open areas.
Write an explicit formula for…
Answers
Answer:
aₙ = 11 - 3(n - 1)
Step-by-step explanation:
Arithmetic Explicit Formula: aₙ = a₁ + (n - 1)d
a₁ = First term
d = Common difference
n = Term number
The first term of the sequence is 11 and the common difference is -3.
Therefore, the explicit formula of the sequence is aₙ = 11 - 3(n - 1).
Water has a density of 1.0 g/mL and ocean water has a density of 1.025 g/mL.
Why are they different?
Answers
Answer:
0.025g/ml
Step-by-step explanation:
Given data
Density of water =1.0 g/mL
Density of oil =1.025 g/mL.
The difference in the density is
1.025 g/mL-1.0 g/mL
=0.025g/ml
This is because oil is more dense than water
please help me !!!!!!!
Answers
Answer:
(32;29) first thing is to find the gradient of that line and form some extra equation ( bodzatu ili
HOW TO I REMEMEBER MULTIPLICATION (I NEVER PAYED ATTENTION IN MATH LOL) AND I CANT SEEM TO REMEMEBER IT :(
I NEED TO REMEMBER 1-12
Answers
9m(4m – 3n) – (5m – n)2
A 11m2
– 17 mn – n2
B 11m2
– 37 mn + n2
C 34m2
– 17 mn – n2
D 34m2
– 37 mn + n2
Answers
Answer:
[tex]36m {}^{2} - 27mn - 10m + 2n[/tex]
Step-by-step explanation:
Use distributive law.
Work with one bracket at a time.
Watch out for the signs!
Find the equation of the circle in standard form for the given center (h, k) and radius
Someone help
Answers
Answer:
3rd choice
Step-by-step explanation:
You can find the attached files
(05.06 LC)The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism?
Three rectangles are shown, one below the other. The middle rectangle has a width of 6 units, and, along each width, is a triangle with a height of 4 units. The length of the lowermost rectangle is 8 units and its width is 5 units.
104 units²
132 units²
152 units²
168 units²
Answers
Answer:
C. 152 units²Step-by-step explanation:
Total surface area is the area of the net.
The rectangles have area:
8*(5 + 6 + 5) = 128 units²The triangles have area:
2*(1/2*6*4) = 24 units²Total area is:
128 + 24 = 152 units²Correct choice is C
Answer:
C. 152 square units
Step-by-step explanation:
I'll do the rectangles first because they are the easiest.
8(5)=40. There are 2 of those rectangles, so multiply by 2: 80.
6(8)=48. Add that to 80, you get 128.
The two triangles actually make a rectangle, so to save work, just multiply the base by the height: 6(4). You get 24.
Add them all up, and you get 152.
Hope this helps!
16x7[(99-64)•2] PLEASE HELP!!!
Answers
Answer:
7840
Step-by-step explanation:
start with the (). 99-64 is 35. then 35 times 2 is 70. 16 times 7 (whats on the outside) is 112 and 112 times 70 is 7840
What is domain and range of the following graph? 10 points!!!
Answers
Answer:
domain R
range is ] - infinity, -4]
to assure u :)
If you like peanut butter and chocolate, then you will love Reese's.
What is the converse of the statement?
Answers
Answer:
Reese's love peanut butter and chocolate
hope it helps u
plz mark it as brainliest
a)if A×B ={(1,2),(2,3),(1,3),(2,2),(3,2),(3,3)} find i) set A ii) set B.i need for exam
Answers
Answer:
soln,
set A ={ 1,2,3}
set B ={2,3}
URGENTT!!!! help quick please
Answers
X=20
Inventor A had 630 inventions, 600% more than the number of inventions inventor B had. How many inventions did B have?
Answers
Answer:
105 inventions
Step-by-step explanation:
Find how many inventions Inventor B had by dividing 630 by 6:
630/6
= 105
So, Inventor B had 105 inventions
If K is the midpoint of JL, JK = 8x + 11 and KL = 14x – 1, find JL.
Answers
Answer:
[tex]JL=54[/tex]
Step-by-step explanation:
We are given that K is the midpoint of JL. Using this information, we want to find JL.
By the definition of midpoint, this means that:
[tex]JK=KL[/tex]
Substitute them for their equations:
[tex]8x+11=14x-1[/tex]
Solve for x. Subtract 8x from both sides:
[tex]11=6x-1[/tex]
Add 1 to both sides:
[tex]6x=12[/tex]
And divide both sides by 6. Hence:
[tex]x=2[/tex]
JL is the sum of JK and KL. Hence:
[tex]JK+KL=JL[/tex]
Since JK = KL, substitute either one for the other:
[tex]JK+(JK)=2JK=JL[/tex]
Substitute JK for its equation:
[tex]2(8x+11)=JL[/tex]
Since we know that x = 2:
[tex]2(8(2)+11)=2(16+11)=2(27)=54=JL[/tex]
Thus:
[tex]JL=54[/tex]
Solving a decim For his long distance phone service, Justin pays a $3 monthly fee plus 11 cents per minute. Last month, Justin's long distance bill was $12.79. For how many minutes was Justin billed?
Answers
Answer:
89 minutes
Step-by-step explanation:
Let
x = number of minutes
Total cost = fixed cost + variable cost
Total cost = $12.79
Fixed cost = $3
Variable cost = cost per minutes * number of minutes
= 0.11 * x
= 0.11x
Total cost = fixed cost + variable cost
12.79 = 3 + 0.11x
12.79 - 3 = 0.11x
9.79 = 0.11x
x = 9.79/0.11
x = 89
x = number of minutes = 89 minutes
Graph the linear function described by the equation
Answers
Answer:
a on edge
Step-by-step explanation:
Can someone help me with this math homework please!
Answers
Answer:
option 2option 1Step-by-step explanation:
value of x must be any real number except 5
that is option 2.
value of y can be any real number
that is option 1.
Based on the property of function that is one input must have exactly one output.
the outputs can repeat themselves throughout the function whereas the input shouldn't repeat themselves.
Answer:
Step-by-step explanation:
Property: Each element in the input set should have one and only element in the output set.
1) Value of x can be any real number except 5
2) Value of y can be any real number except -2
Suppose that partners equally share the profits from a sale of $3,800. Which algebraic expression represents this
situation?
0360040
0 3600-
36000
3800 -
р
HURRRYY IM ALMOST OUT OF TIME SMB HELP!
Answers
Answer:
3600 / p
Step-by-step explanation:
The partners share the company equally so it would be 3600 / p because each person would get an equal share.
If there were 2 partners, each would get 1800.
If there were 4 partners each would get 900.
It makes it so each partner gets and equal amount with this equation
expand and simplify (2x-3)(3x
+1)
Answers
Answer:
6x^2+2x-9x-3
=6x^2-7x-3
A paintball park charges an entrance fee, and fee per game played. On saturday, Jesse plays 19 games and pays a total of 62.50 dollars. Paula plays 10 games and pays a total of 40 dollars. Find the entrance fee and then fee per games played
Answers
Answer:
Entrance fee=15, fee per games played=2.50
Step-by-step explanation:
x=fee per games played, y=entrance fee
19x+y=62.50 equation 1
10x+y=40 equation 2
y=40-10x isolate y in equation 2
19x+40-10x=62.50 substitute y value from equation 2 into equation 1
9x=22.50
x=2.50
solve for y by substituting x value in either equation
10x+y=40
10(2.50)+y=40
25+y=40
y=15
Check answer:
19x+y=62.50
19(2.50)+15=62.50
47.50+15=62.50
62.50=62.50
According to a survey of 1000 families of any town in 2010 A.D.,794 families have radio and 187 families have television.lf 63 families do not have any one of them,then how many families will have both radio and television?Find it.
Answers
Answer:
the families who use both radio and television is 44.
CAN SOMEONE PLEASE HELP ME!!!
Answers
dammn im not sure sorry
Answer:
Step-by-step explanation:
D OR F means add the two grade members together. You get 5
5 / 35 = 1/7
P(1/7) = 0.1428 Rounded to the nearest 1/100th = 0.14
Write an equation of the form y = mx for the line shown below. If appropriate,
use the decimal form for the slope.
Answers
Answer:
y = - 0.5x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line
m = [tex]\frac{-1-2}{2-(-4)}[/tex] = [tex]\frac{-3}{2+4}[/tex] = [tex]\frac{-3}{6}[/tex] = - 0.5
The line crosses the y- axis at (0, 0 ) ⇒ c = 0
y = - 0.5x + 0 . that is
y = - 0.5x
Score for Question 2: ___ of 5 points) 2. Write the equation of the circle in general form. Show your work.
Answers
Answer:
[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]
Step-by-step explanation:
Given
See attachment for circle
Required
The circle equation
First, we get the radius of the circle.
From the attachment, we have:
[tex]r = 3[/tex]
Next, the center of the circle
[tex](h,k) = (-1,1)[/tex]
The equation of the circle is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
This gives:
[tex](x - -1)^2 + (y - 1)^2 = 3^2[/tex]
[tex](x +1)^2 + (y - 1)^2 = 3^2[/tex]
Expand
[tex]x^2 + 2x + 1 + y^2 - 2y + 1 = 9[/tex]
Collect like terms
[tex]x^2 + y^2 + 2x - 2y + 1 + 1 - 9 = 0[/tex]
[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]
Hence, the equation in general form is:
[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]
