Answers
x² + 2x + y² + 4y = 20
We complete the square in both x and y. For each we add half the linear coefficient, squared. So (2/2)²=1 for x and (4/2)²=4 for y. We add them to both sides to keep the equation the same.
x² + 2x + 1 + y² + 4y + 4 = 20 + 1 + 4
Now the left side is the sum of squares and the right side is the squared radius.
(x + 1)² + (y + 2)² = 5²
Standard form is (x-p)² + (y-q)² = r² for center (p,q) and radius r. Note the minus signs.
We read off the answer:
Answer: Center (-1, -2), radius 5.
Related Questions
Chang purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Chang pald.
Answers
Answer:
C=5n
Step-by-step explanation:
A linear function
Directly proportional
What is the factored form of 8x^24-27
Answers
Answer: 4.722
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Simplify the following expression
x^5/x^-2=x^n
A. 8
B. 2
C. 7
D. 10
Answers
Answer:
7
Step-by-step explanation:
x^5/x^-2=x^n
x^5=x^n×x^-2
x^5=x^-2+n
5=-2=n
n=7
this is 100% correct
plzz mark me brainliest
harold collected data on the daily high temperature in two cites over a period of one week . he analyzed the data and found the measures below . which statement is true based on these measures
Answers
Answer:
The temperature in Carlton was always cooler than in Borden.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
determine the intercept of the line
Answers
Answer:
X intercept is (-8,0), Y intercept is (-6,0)
Step-by-step explanation:
The intercept is where the line crosses the X and Y axis, so in this line, the line crosses the x axis at (-8,0) and the y axis at (-6,0).
Answer:
There are two different intercepts in this linear line. The x - intercept would be at (-8, 0), and the y - intercept would be at (0,-6). To find out which is the x - intercept and which is the y - intercept, remember that x is always horizontal and y is always vertical.
Step-by-step explanation:
Sage wants to order an ice-cream sundae.
The ice-cream parlor allows customers to
choose from 10 ice-cream flavors, 4 sauces,
and 4 toppings. How many combinations of
ice-cream sundaes could Sage choose from?
Enter the correct answer.
DONE
Answers
Celeste needs to create a keyword map that branches out from an image of the solar system. Which image best
shows the keywords that build to make up the solar system?
Sun
Sun
Sun
Mercury
Venus
Moon
Stars
Neptune
es
Earth
Venus
Earth
Uranus
Constellations
The Milky
Way
Mars
Saturn
Mars
Jupiter
Answers
Answer:
The Correct Answer Is C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Which point lies on the y-axis
Answers
Answer:
the y axis is the vertical line the x axis is the horizontal lineStep-by-step explanation:
the y axis is the vertical line the x axis is the horizontal lineStep-by-step
Plz help me I don’t really understand this topic
Answers
Answer:
2/7, 7/13, 5/9, 10/11
Step-by-step explanation:
I used benchmark fractions to determine the order of the fractions above. 2/7 is close to 0, so it is first. 7/13 is close to 1/2, but is less than 5/9, so it is second. 5/9 is also close to 1/2, but it is greater than 7/13, so it is third. 10/11 is close to 1, so it is last.
If this answer is correct, please make me Brainliest!
Answer:
From least to greatest, 2/7-7/13-5/9-10/11
Step-by-step explanation:
It is obvious that 2/7 is the least and 10/11 is the most, and two find out the two middle fractions you should cross multiply to see which is bigger.
7 5
___ and ___ so now you multiply the denominators together to get 117
13 9
so the fractions will become
7*9 5*13
___ and ___ and when u multiply them together you get 63 for 7/13 and 65
117 117
for 5/9, so 5/9 is bigger
To find the mileage, or how many miles a car can travel per gallon of gasoline, you can use the expression m/g, where m is the distance in miles and g is the number of gallons of gas used. Find the mileage in miles per gallon for a car that travels 585 miles on 18 gallons of gas? (Your answer does not need miles per gallon at the end.)
Answers
Answer:32.5
Step-by-step explanation:
585/18
making a sandwich with ham, turkey, or roast beef; swiss or provolone cheese; and mustard or mayonnaise. how many outcomes are there A. 14 C. 16 B. 12 D. 19
Answers
The answer is 12
Ham, swiss, mustard
Ham, swiss, mayonnaise
Ham, provolone, mustard
Ham, provolone, mayonnaise
Turkey, swiss, mustard
Turkey, swiss, mayonnaise
Turkey, provolone, mustard
Turkey, provolone, mayonnaise
Roast beef, swiss, mustard
Roast beef, swiss, mayonnaise
Roast beef, provolone, mustard
Roast beef, provolone, mayonnaise
Which shape fits the description below?
A figure with at least one pair of parallel sides.
A. X
B. Z
C. X and Y
D.Y
Answers
Answer:C, X and Y
Step-by-step explanation:
I just took the test
What are all the numbers congruent to #1?
Answers
Answer: All angles are congruient to 1
Step-by-step explanation:
So first of all, that shape is a rectangle. All angles of a rectangle are 90 degrees. So all angles are equal.
Answer: it is 90
Step-by-step explanation: so they are all congruent
Will give brainliest, What types of solutions will a quadratic equation have when the discriminant b^2−4ac in the quadratic formula is zero?
Two non real solutions
One real solution
Two real solutions
No solutions
Answers
Answer:
B
Step-by-step explanation:
When a discriminant is zero, the quadratic equation has one solution.
The expression on the left side of an equation is shown below.
3(x+1)+9=0
If the equation has no solution, which expression can be written in the box on the other side of the equation?
3[x+4)
2[x+8)+x
4(x-3) -
03(x+1)+9x
Answers
Answer:
A. 3(x + 4)
Step-by-step explanation:
All we have to do to get the expression on the other side is to expand the bracket on the left and factorise the expression.
The equation given is:
3(x + 1) + 9 = 0
Expanding the left hand side and factorising:
3x + 3 + 9
=> 3x + 12
=> 3(x + 4)
Therefore, the expression that can be written on the other side is 3(x + 4)
Answer:
C
Step-by-step explanation:
just finished it on edge and got a 100 :)
Find the 40th term of this arithmetic sequence 4,9,14,19
Answers
Answer:
199
Step-by-step explanation:
I believe it's 199. The interval is just 5.
Answer:
the answer is going to be more than 11111111111119 (this is the 26th term)
Step-by-step explanation:
please answer this i’ll give you 15 points
Answers
Answer:
B
Step-by-step explanation:
you round 33 to 30 and 87 to 90
Answer:
Well I think it's B.. Sorry for the late answer.
Step-by-step explanation:
Triangle A’B’C’ is the image of triangle ABC.
On a coordinate plane, triangle A B C has points negative 4, negative 1), (negative 5, negative 5), (negative 3, negative 4). Triangle A prime B prime C prime has points (3, 4), (4, 8), (2, 7).
Which transformations could have been used to create A’B’C’ ? Choose all that apply.
a 180Degrees rotation about the origin and then a translation 3 units up and 1 unit left
a translation 3 units up and 1 unit left and then a 180Degrees rotation about the origin
a 90Degrees clockwise rotation about the origin and then a reflection over the y-axis
a 90Degrees counterclockwise rotation about the origin and then a reflection over the x-axis
a translation 3 units down and 1 unit right and then a 180Degrees rotation about the origin
Answers
Hope this helps
Answer:
Its the First and Last answer on Edg
Step-by-step explanation:
I took the test
Julie earns $1800 each month and pays $450 a month for rent. What percent of her income goes toward her rent?
Answers
Answer: 25%
Step-by-step explanation:
450/1800
Answer:
25 percent is what percent of her income that goes towards her rent
Which of the following describes how to translate the graph of y = Ixl to obtain the graph of y = lx + 1l - 2?
shift right 1 and down 2
shift left 1 and down 2
shift right 1 and up 2
Answers
Answer:
Shift left 1 and down 2
Step-by-step explanation:
What is the sticker price for a vehicle with the following features and costs: suggested retail price of $13,760, destination charge of $475, equipped with AC, cruise control, and a custom sound system for $800, $235, and $490, respectively?
$15,760
$13,760
$13,370
$11,760
Answers
Answer:
15,760
Step-by-step explanation:
I just added all of them...
The sticker price we just need to add all the extras to the suggested retail price. The total sticker price would be $15,760.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
To find the sticker price we just need to add all the extras to the suggested retail price:
suggested retail price $13,760
air conditioner $800
cruise control $235
custom sound system $490
destination charge $475
total sticker price = 13,760 + 800 + 235 + 490 + 475
= 15,760
The total sticker price would be $15,760.
The sticker price includes all the extras that the car dealer adds to the MSRP, and is generally the price of ready-to-sell cars.
Learn more about addition;
https://brainly.com/question/14092461
#SPJ2
Find the value of y that makes the equation 2y = 12 – 5x true when x = -2.
A. 1
B. 2
C. 11
D. 22
Answers
Answer:
C 11
Step-by-step explanation:
2y = 12 – 5x
Let x = -2
2y = 12 - 5(-2)
2y = 12 +10
2y = 22
Divide by 2
2y/2 = 22/2
y = 11
Answer:
C11 is the correct answer
Step-by-step explanation:
2. The length of the side of a square is
represented by the expression 2a²b. Which
term represents the area of this square?
A. 8a3b
B. 4a3b
C. 4a4b2
D. 2a6b2
Answers
please answer this and please provide explanation since I need to explain in homework thank you I really appreciate it
Answers
Answer:
27648inches÷64inches=432 tiles
Step-by-step explanation:tiles cost 3456
What is the solution to the system of equations?
7x-2y = -24
5x+ 5y = 15
(2, 5)
(-2,5)
(-2,-5)
(2,5)
Answers
Answer:
-2,5
Step-by-step explanation:
-5*(-6)=
-27 divided by 9=
Answers
Answer:
-5*(-6) = 30
-27/9 = -3
Step-by-step explanation:
We know a negative times a negative is a positive, a positive times a positive is a positive, and a negative times a negative is a positive. This rule goes the same for division.
Using that rule -5*(-6) = 30. Which is a negative times a negative = positive.
-27/9 = -3 Which is a negative divided by positive = negative
27 divided by 9= -3
what are two methods you can use to find the area of a square. I WILL GIVE BRAINLIEST I NEED HELP QUICKKKKK
Answers
Answer:
To find the area of a rectangle multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.
Step-by-step explanation:
Answer:
For a rectangle, you get the length and width and multiply them
For a Square, you have to find one side length and mulitply it by itself
or you can split the square with a diagonal into 2 triangles, get the area of each and add them up
or split the square in half and find the area of both rectangles and then add them together
Step-by-step explanation:
For example, if the measure of one side of a square is 5, because all the other lengths are the same, you do 5 times 5 which equals 25 or 5^2 which is 25
Jodi learned to sing a total of 4 pieces over the course of 2 weeks of voice lessons.
After 8 weeks of voice lessons, how many pieces will Jodi be able to sing in total?
Assume the relationship is directly proportional.
A: 16 pieces
B: 20 pieces
C: 15 pieces
D: 12 pieces
Answers
Answer:
A. 16 pieces
Step-by-step explanation:
If Jodi learned to sing a total of 4 pieces over the course of 2 weeks of voice lessons, after 8 weeks of voice lessons, Jodi be able to sing 16 pieces.
2 x 2 =4
8 x 2= 16
Therefore the answer is 16.
Hope this helps and I explained it well enough !
Have a nice day.
To convert degrees Fahrenheit (F) into degrees Celsius (C) use the formula C=5/9(F-32) convert 50 degrees Celsius to Fahrenheit
Answers
Answer:
Step-by-step explanation:
C=5/9(F-32)
Or F-32=9/5C
Put C=50
F-32=9/5 ×50
F-32=90
F=90+32=122°F
prove that (tan²y) (cos²y) + 1/sec²y = 1
Answers
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan x = [tex]\frac{sinx}{cosx}[/tex] , sec x = [tex]\frac{1}{cosx}[/tex] , sin²x + cos²x = 1
Consider the left side
tan²y × cos²y + [tex]\frac{1}{sec^2y}[/tex]
= [tex]\frac{sin^2y}{cos^2y}[/tex] × cos²y + [tex]\frac{1}{\frac{1}{cos^2y} }[/tex] ← cancel cos²y in the product
= sin²y + cos²y
= 1
= right side ⇒ proven
Step-by-step explanation:
[tex] (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1\\
LHS
= (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} \\\\
\frac{\sin^2y}{\cos^2y}\times \cos^2 y + \cos^2 y \\\\
= \sin^2y + \cos^2 y \\\\
= 1\\\\
= RHS\\\\
\purple {\boxed {\bold {\therefore (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1}}} \\[/tex]
Hence Proved
