Answers
Answer:
[tex] {x}^{2} + {y}^{2} + 4x - 2y = - 1 \\ ( {x}^{2}+2\times2\times x + {2}^{2} ) - 4 + ({y}^{2} - 2 \times 1 \times y + {1}^{2} ) - 1 = - 1 \\ {(x + 2)}^{2} - 4 + {(y - 1)}^{2} - 1 = - 1 \\ {(x + 2)}^{2} + {(y - 1)}^{2} = 4\\ {(x + 2)}^{2} + {(y - 1)}^{2} = {( 2) }^{2} [/tex]
Therefore, the centre of the circle is in ( -2, 1 )
and the radius of the circle is 2.
Formula used :-----
[tex] {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} [/tex]
equation of the circle
where r is the radius of the circle.
(A) 2 is the right answer.Related Questions
I need help, It is a written problem
Answers
what are the roots of the equation -3x + 19 = -x^2+1
Answers
Answer:
(3 ± 3√7i)/2Step-by-step explanation:
-3x + 19 = -x^2+1x^2 - 3x + 19 - 1 = 0x^2 - 3x + 18 = 0x = (3 ± √9 - 72)/2 x = (3 ± √-63)/2x = (3 ± 3√7i)/2It has no real solutions and two complex roots
Which two numbers have a mean of 10 and a range of 4?
NEED THIS ASAP PLEASE I WILL LEAVE A GOOD RATING
Answers
the answer would be 12 and 8
Oliver invested $53,000 in an account paying an interest rate of 2.7% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 20 years?
Answers
Answer: 90946.55
Step-by-step explanation:
The required amount after 20 years would be $90946.55.
Given that,
Oliver invested $53,000 in an account paying an interest rate of 2.7% compounded daily.
Investment is defined as when an individual spends money on something that returns him or her higher money than the money they or invest.
Here,
According to the question,
The amount after 20 years is given as,
[tex]y = 53000[1 + 0.27/365]^{365*20}\\y = 90946.54732\\y \approx 90946.55[/tex]
Thus, the required amount after 20 years would be $90946.55.
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1/3 divided by 4 = what
Answers
Answer:
1/12
Step-by-step explanation:
I divided
Evaluate the following using
powers of ten rules.
9.4326
x 100
Answers
Answer: 943.26
Step-by-step explanation:
9.4326
x 100
------------
943.26
Which expression represents the height of the pyramid? StartFraction 3 V Over y squared EndFraction units (3 V minus y squared) units (V minus 3 y squared) units StartFraction V Over 3 y squared EndFraction units
Answers
Answer:
Height = 3v/y² units
StartFraction 3 V Over y squared EndFraction units
Step-by-step explanation:
The volume of a solid right pyramid with a square base is v units3 and the length of the base edge is y units. which expression represents the height of the pyramid? units (3v – y2) units (v – 3y2) units units
Volume of a solid right pyramid = 1/3 × area of the base × height
Volume of a solid right pyramid = v units³
Area of the base = y² unit²
Volume of a solid right pyramid = 1/3 × area of the base × height
v = 1/3 × y² × height
Height = v ÷ 1/3 × y²
= v × 3/1y²
= (v × 3) / y²
= 3v / y²
Height = 3v/y² units
StartFraction 3 V Over y squared EndFraction units
Answer:
B
Step-by-step explanation:
What is the PERCENT DECREASE: 1) PRINCETON: December - 50 January - 40 2) WORCESTER: December - 256 January - 197 3) CHICAGO: December - 7050 January - 6708
Answers
Answer: See explanation
Step-by-step explanation:
PRINCETON:
December - 50
January - 40
Decrease = 50 - 40 = 10
Percentage Decrease = Decrease/Original value × 100
= 10/50 × 100
= 20%
2) WORCESTER:
December - 256
January - 197
Decrease = 256 - 197 = 59
Percentage Decrease = Decrease/Original value × 100
= 59/256 × 100
= 23.05%
3) CHICAGO:
December - 7050
January - 6708
Decrease = 7050 - 6708 = 342
Percentage Decrease = Decrease/Original value × 100
= 342/7050 × 100
= 4.85%
Help pls ill mark brainliest
Answers
Answer:
I believe its 108°
Step-by-step explanation:
as it's a pentagon I looked up the angle of the top of a pentagon and found 108°
70 is 40% of what number?
Answers
oh oh i had this question jn leh me find it !!!
Answer: 175
Step-by-step explanation:
If you take 100(as a percentage) and divide it by 40, you get 2.5, 70x2.5 is 175
there are answer choices !
Answers
Answer:
1
Step-by-step explanation:
m [slope] = ∆y/∆x = y₂-y₁/x₂-x₁
m [slope] = 9 - 6 / 4 - 1 = 3 / 3 = 1
The equation for this relationship is
y = x + 5
(2y^3-5y^2-4)-(4y^3+11y^2-3y+5)
Answers
A tree is 4. feet tall. It is expected to grow by 1 feet per year.
At this growth rate, how many years will it take for the tree to have a height greater than 40 feet? Enter the answer in the box.
years
Answers
Answer:
37 years
Step-by-step explanation:
Answer:
36 years
Step-by-step explanation:
it would take 36 years to reach the height of 40 feet. I know this because it is already 4 feet and needs to grow 36 feet and if it is growing at a rate of 1 foot per year then it would take 36 years
Simplify e⁰. answer it please
Answers
(-3, -6) translated 6 units up
Answers
Answer: y= 4x + 6 Not sure but hope this help
Step-by-step explanation:
Answer: (-3, 0)
Step-by-step explanation:
I am including a picture that explains. Hope this helps!
Factor out the coefficient of the variable term.
The expression 0.15c – 0.072 factored is
please help!!
Answers
Answer:
Step-by-step explanation:
Dookie
PLEASE HELP WILL GIVE 30 POINTS
The data set shows the ages of guests on a recent tour of a museum: 34, 18, 29, 60, 44, 51, 65, 68.
A. What is the five-number summary of the data? Show your work.
B. How could the museum curator use this information to improve sales at the gift shop?
I already did part A I just need help on part B
The five-number summary is
Min: 18 Max: 68 Median: 47.5
Q1: 31.5 Q3:62.5
Answers
he can use the information to put stuff on sale so more people will come and he can make more money
Step-by-step explanation:
the question is in the picture. will give brainilist
Answers
Step-by-step explanation:
answers for both boxes please
Answers
Answer:
(8,-5)
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Point Form:
( 8 , − 5 )
Equation Form:
x = 8 , y = − 5
I need help solving this practice question
Answers
Answer:
B
Step-by-step explanation:
SAS congruence means that an the concruent angle is found between the two congruent sides. To prove this, IJ and ST must be congruent (so that the angle is between the sides)
The population of a city is 51,000 and is decreasing at a rate of 1.75% per year. Use an exponential function to find the expected population in 5 years. Round to the nearest whole number.
Answers
Answer:
46,691
Step-by-step explanation:
Given that:
Initial population, P = 51000
Decreasing rate = 1.75% = 0.0175
Time, t = 5 years
Using the relation :
A (t) = Po * ( 1 - r)^t
A(t) population after t years
Po = Initial population figure
r = rate of decrease
A(t) = 51000 * (1 - 0.0175)^5
A(t) = 51000 * (0.9825)^5
A(t) = 51000 * 0.91550937355400390625
A(t) = 46690.9780
Hence, population after 5 years will be : 46,691
-2x + y = 1.3
2(0.5x - y) = 4.6
Answers
Answer:
x=-2.4
y=-3.5
Step-by-step explanation:
Lin notices that the number of cups of red paint is always 15 of the total number of cups (0.2 of the total number of cups). She writes the equation r = 15t (r = 0.2t) to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know.
Answers
Step-by-step explanation:
The number of cups of red paint is always 15 of the total number of cups. 0.2 of the total number of cups.
She writes the equation r = 15t (r = 0.2t) to describe the relationship.
In this case, the total no. of cups is an independent variable. No. of cups do not depend on any term.
The number of cups of red paint is a dependent variable as it depends on the number of cups.
How can you write a linear function in the form y=mx + b by using the two points given below (0,-2), (2,6)
Answers
Answer:
y = 4x - 2
Step-by-step explanation:
m = y-y/x-x
m = 6-(-2)/2-0
m = 8/2
m = 4
Answer:
y=4x-2
Step-by-step explanation:
Simplify the expression.
7(9k + 2m)
Answers
Answer:
=63k+14m
Step-by-step explanation:
=(7)(9k+2m)
=(7)(9k)+(7)(2m)
Kerr is going to pack 9 baby carrots, 12 crackers and 18 grapes into lunch boxes . How many of each food item will there be in a lunch box if she packs the items into the greatest number of indentical lunch boxes
Answers
Answer:
3 baby carrots, 4 crackers and 6 grapes
Step-by-step explanation:
Given
[tex]Baby\ Carrots = 9[/tex]
[tex]Crackers = 12[/tex]
[tex]Grapes = 18[/tex]
Required
Determine the number of each food item in a lunch box
First we need to get the number of lunch boxes by calculating the GCF of 9, 12 and 18
[tex]9 = 3 * 3[/tex]
[tex]12 = 2 * 2 * 3[/tex]
[tex]18 = 2 * 3 * 3[/tex]
The GCF is:
[tex]GCF = 3[/tex]
This implies that the number of lunch boxes is 3.
If there are 3 lunch boxes:
3 baby carrots will go into each lunch box because 3 * 3 = 9 4 crackers will go into each lunch box because 4 * 3 = 126 grapes will go into each lunch box because 6 * 3 = 18Solve for a
PLS HURRY
Answers
Answer:
I guess it is d
Step-by-step explanation:
make it braintliest please
Answer: D
Step-by-step explanation:
This would be my answer, I think im right but I'd wait on someone else just to be sure.
What is the value of 80 + 57
Answers
have a good day. hope i helped
Answer:
137
Step-by-step explanation:
Add 80 and 57.
Someone help with this please
Answers
Answer: B
Step-by-step explanation: B is in slope-intercept form
A side of the triangle below has been extended to form an exterior angle of 66°. Find
the value of x.
xo
48°
66°
Answers
Step-by-step explanation:
By Exterior Angle Theorem, the sum of the 2 inner angles in the triangle will be equal to the exterior angle.
=> x + 48° = 66°, x = 18°.
The required measure of the angle x is given as 18°.
Given that,
A side of the triangle below has been extended to form an exterior angle of 66°
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
The property of the triangle state that the sum of the remote interior angle is equal to the measure of the remote exterior angle,
So,
x + 48 = 66
x = 18°
Thus, The required measure of the angle x is given as 18°.
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