Find the standard equation of the circle defined by the equation x^2 + y^2 +8x - 12y + 43 = 0. ANSWERS ATTACHED, due in 2 HOURS, will give Brainliest!
Answers
Answer:
Solution: Option C
Step-by-step explanation:
Our goal here is to factor the expression such that it is converted into the circle equation (x - a)² + (y - b)² = r² where r = radius centered at point (a,b).
[tex]x^2\:+\:y^2\:+8x\:-\:12y\:+\:43\:=\:0[/tex] (Factor the expression "x² + 8x")
[tex]x^2+8x = x\left(x+8\right)[/tex] (Factor the expression "y² - 12y")
[tex]\:y^2-12y =y\left(y-12\right)[/tex]
That leaves us with the expression [tex]\left(x-\left(-4\right)\right)^2+\left(y-6\right)^2=3^2[/tex], or in other words [tex](x+4)^2 +(y-6)^2 = 9[/tex]. As you can see our solution is option c.
Related Questions
what does the line on top mean? it's confusing. The others don't have it
Answers
750 feet tall how many stories would the building have
Answers
Answer:
Well if a story is 14-16 feet tall, then it would be about 50 floors.
Step-by-step explanation:
Each story is 14-16 feet, and if you meet in the middle (15 feet) just divide 750 by 15, you get 50.
find the product "please answer i will mark you brainlist
Answers
Answer: -48x³y^4 (the option at the bottom left)
Step-by-step explanation:
-6x²y × 8y³x
=-48x³y^4 ⇔ multiplication in exponents with same base works as addition
Hope this helps!! :)
Please let me know if you have any question
2/3 of a gallon per 1/2 hour, find gallons for one hour.
Answers
Answer:
1.2 or 6/5
Step-by-step explanation:
2/3 = .6
.6 * 2 = 1.2
1.2 = 6/5
The unit rate of gallons per hour for 2/3 of a gallon per 1/2 hour will be 4/3.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
2/3 of a gallon per 1/2 hour.
In 1 hour = 2 × in 1/2 hour
Gallons per hour = 2 × 2/3 = 4/3
Hence "The unit rate of gallons per hour for 2/3 of a gallon per 1/2 hour will be 4/3".
To learn more about the rate of change here,
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Use trigonometry to resolve the following vectors into components. Describe the vectors using vector
notation
Answers
Answer:
v ≈ (3.28512, 20.74146)
Step-by-step explanation:
v = 21(cos(81°), sin(81°))
v ≈ (3.28512, 20.74146) . . . . (x, y) components
The notation varies among authors. The vector can be written as ...
(r, θ) = (21, 81°)
r∠θ = 21∠81°
r cis θ = 21 cis 81°
v = 21·e^(i·9π/20)
(x, y) ≈ (3.28512, 20.74146)
v = 3.28512i +20.74146j . . . . perhaps this is the vector notation you want (i and j are unit vectors in the x- and y-directions, respectively)
if 9x = 18 what is the value of x
Answers
Answer:
The correct answer is x = 2.
Step-by-step explanation:
To solve this problem, we should first remember that in solving equations, our goal is to get the variable (in this case, x) by itself on one side of the equation. To do this, we must divide both sides of the equation by 9 to get rid of the coefficient on the x term. This is modeled below:
9x = 18
9x/9 = 18/9
x = 2
Therefore, the correct answer is x = 2.
To check your answer, you can always plug the value for x back into the equation. For example, 9(2) = 18 is a true statement, so we know that we got the correct answer.
Hope this helps!
The value of x from the equation 9x = 18 is x= 2.
To find the value of x in the equation 9x = 18, we need to isolate x on one side of the equation.
To do that, we can divide both sides of the equation by 9:
(9x) / 9 = 18 / 9
Simplifying:
x = 2
Therefore, the value of x is 2.
We can also say that,
By dividing both sides of the equation by 9, we determined that when x is multiplied by 9, it equals 18, so x must be 2 in order for the equation to be true.
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Predict what will happen to the coordinates of a point (x,y) as the point rotates counterclockwise (CCW) about the origin to produce point (x’,y’). Choose rotation angles of 90 degrees, 180 degrees, and 360 degrees. Express your answer in terms of x and y. Be sure to watch your signs.
Answers
Answer:
Step-by-step explanation:
If a point (x, y) is rotated counterclockwise by the angles given in the table attached,
Rule for the rotation at an angle of 90° CCW about the origin,
(x, y) → (-y, x)
Rule for the rotation at an angle of 180° CCW about the origin,
(x, y) → (-x, -y)
Rule for the rotation at an angle of 270° CCW about the origin,
(x, y) → (y, -x)
Rule for the rotation at an angle of 360° CCW about the origin,
(x, y) → (x, y)
Angle of rotation x' y'
90° -y x
180° -x -y
270° y -x
360° x y
Answer:
Angle of Rotation (CCW) x′ y′
90° −y x
180° −x −y
270° y −x
360° x y
change 45/8 to mixed fraction
Answers
Answer: 5 and 5/8
Step-by-step explanation: To write an improper fraction as
a mixed number, we divide the denominator into the numerator.
So in this problem, we divide 8 into 45.
8 divides into 45 five times with a remainder of 5.
Also, the denominator of the improper fraction
will become the denominator of the mixed number.
So we have 5 and 5/8
The fraction 45/8 is equal to the mixed fraction 5 5/8.
How to write it as a mixed fraction?To convert the fraction 45/8 into a mixed fraction, follow these steps:
Step 1: Divide the numerator (45) by the denominator (8) to determine the whole number part of the mixed fraction.
45 ÷ 8 = 5 with a remainder of 5
Step 2: The quotient obtained in Step 1, 5, represents the whole number part of the mixed fraction. The remainder, 5, becomes the new numerator.
Step 3: Write the mixed fraction using the whole number, numerator, and denominator.
The mixed fraction is 5 5/8.
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Slopes of parallel line are
A.reciprocal
B.opposite reciprocals
C. Identical
D.opposites
Answers
Answer:
the solution is C. identical
Step-by-step explanation:
slope of parallel lines are the same
Answer:
the slopes of parallel lines are : C. identifical
!!!! HELPPP NOWWW PLSSS ITS DUE IN 1 HOUR !!!!!!
Answers
Answer:
The last one is the answer
Step-by-step explanation:
(pls answer asap!!!) a river is at -150 feet below sea level. a nearby mountain has an elevation of 1350 feet. if Tina hikes from the river to the top of the mountain, how many feet has she hiked?
Answers
Answer:
1200 feet
Step-by-step explanation:
Answer:
The correct answer to this question is 1200 feet
Step-by-step :
If you're starting at -150, It would take exactly 1200 feet to go from -150 feet to 1350 feet . Here's your answer : Tina hiked 1200 feet to reach the top of the mountain
Binomial (-2x – 8) and trinomial (-3x2 + 4x + 5) are the factors of which polynomial?
A-3y2 + 2x - 3
O. B. -3x38x2.42x - 40
C 6x + 24x2.50% - 40
O. D 6x3 + 16x2 - 42x - 40
Answers
Answer:
D
Step-by-step explanation:
-2x × -3x^2 +-2x ×4x +-2x×5 +-8×-3x^2 + -8×4x+ -8×5
6x^3-8x^2-10x+24x^2-32x-40
6x^3+16x^2-42x-40
x+3=44 The sum of a number and three is forty-one. Find the number.
Answers
Brainliest!!!!!!!!!!!!!!!!! You want to fence in a pool and deck area. Find the expression which correctly determines the amount of fencing required to complete the job.
Answers
Answer:
The correct expression should be..
5x^2+3x
Step-by-step explanation:
You want to add the variables of the same kind like put all the numbers together, x^2 together, and the x in one too.
-10 1x^2 2x
+10 1x^2 1x
+5 1x^2
+5 2x^2
-10
___________________
0 5x^2 3x
find the distance between the points (27, -8) and (15, -3).
Answers
Answer: The distance between (27, -8) and (15, -3) is 13 units.
Step-by-step explanation:
Use the distance formula to calculate the distance between these two points. Just by plugging in the given ordered pairs, you can simplify and solve down to get an answer of 13 units.
What value of x makes the equation 2x+14=-6+12x true
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \bold{ \sf{x = 2}}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2x + 14 = - 6 + 12x}[/tex]
Move 12x to left hand side and change it's sign
⇒[tex] \sf{2x - 12x + 14 = - 6}[/tex]
Move 14 to left hand side and change it's sign
⇒[tex] \sf{2x - 12x = - 6 - 14}[/tex]
Collect like terms
⇒[tex] \sf{ - 10x = - 6 - 14}[/tex]
Calculate
⇒[tex] \sf{ - 10x = - 20}[/tex]
Divide both sides of the equation by -10
⇒[tex] \sf{ \frac{ - 10x}{ - 10} = \frac{ - 20}{ - 10} }[/tex]
Calculate
⇒[tex] \sf{x = 2}[/tex]
Hope I helped!
Best regards!!
find two numbers with a sum of 129 and a difference
Answers
Step-by-step explanation:
100+29=129
Its so simple....
Simplify each expression.
20) (2x2 +82 + 7x) - (7x + 4- 612)
Answers
Answer:
40x2+133x+2248
Step-by-step explanation:
20(2x2+82+7x)−(7x+4−612)
Distribute the Negative Sign:
=20(2x2+82+7x)+−1(7x+4−612)
=20(2x2+82+7x)+−1(7x)+(−1)(4)+(−1)(−612)
=20(2x2+82+7x)+−7x+−4+612
Distribute:
=(20)(2x2)+(20)(82)+(20)(7x)+−7x+−4+612
=40x2+1640+140x+−7x+−4+612
Combine Like Terms:
=40x2+1640+140x+−7x+−4+612
=(40x2)+(140x+−7x)+(1640+−4+612)
=40x2+133x+2248
Evaluate. 4\7+3\4 A 37\56 B 1 9\28 C 3\7 D 7\11
Answers
Answer:
The answer is D. 7/11 it's just simple addition.
dealing with inequalities.
-3x+3<6
Answers
Answer:
Step-by-step explanation:
-3x+3<6
-3x=3
x=-1
Answer:
-1 or -x (Same thing...)
Step-by-step explanation:
6-3=3
3/-3=-x
-x=-1
-1
One more than the quotient of a number x and four
Answers
Answer:
x/4+1
Step-by-step explanation:
Because it says one more than the quotient, we are dealing with addition and division. 1 more means plus 1. The quotient of a number x and 4 means the answer to the division problem of x and 4. This means x/4. Then add all parts of the problem to get x/4 +1
What is the probability that a randomly selected permutation of the letters A, A, C, C, L, L, O, R, T, U would spell "calculator"?
Answers
Answer:
See explanation
Step-by-step explanation:
Total number of letters = n! = 10
Permutation for 10 letters = n!
= 10!
= 10*9*8*7*6*5*4*3*2*1
= 3628800
From n letters:
Number of A = 2
Number of C = 2
Number of L = 2
A₁, A₂, C₁, C₂, L₁, L₂, O, R, T, U
Out of 3628800 permutations the word calculator can be spelled as:
C₁ A₁ L₁ C₂ U L₂ A₂ T O R
C₂ A₂ L₂ C₁ U L₁ A₁ T O R
and so on
So total number of different permutations are
(permutation of number of letters) / permutation of (number of As * number of Cs * number of Ls)
= 10! / (2! 2! 2 !)
= 10*9*8*7*6*5*4*3*2*1 / (2*1) (2*1) (2*1)
= 3628800 / 2 * 2 * 2
= 3628800 / 8
= 453600
Hence probability that a randomly selected permutation of the letters A, A, C, C, L, L, O, R, T, U would spell "calculator" is:
1 / total number of different permutations
= 1 / 10! / (2! 2! 2 !)
= 1/453600
= 0.000002
4. Kennedy buys a computer that was reduced in a sale by 10%. If the sale price of the
computer is now N$11 480. 50, what was the original price of the computer?
What is the answer
Answers
Answer:
11480.50 x 110% = 12628.55
Step-by-step explanation:
100% is the current price (11480.50), the current price has already been discounted by 10%.
so now add the the amount deducted back into the current price (100% +10%) to find the initial price.
Question 4(Multiple Choice Worth 5 points)
(05.02)Find the measure of angle x in the figure below:
X
155
30
95°
o
55
O 30
O 85
Answers
Answer:
95°
Step-by-step explanation:
y° = 180° - (55° + 30°)
y° = 180° - 85°
y ° = 95°
y = 95
x = y ( vertical angles)
x = 95°
how do I solve from this? pls don't only give me the answer. step by step pls. Rewrite as a simplified fraction
Answers
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Create 2 equations with the repeating part after the decimal point. Then by subtracting the repeating part is eliminated
let x = 0.1111.... → (1) ← multiply both sides by 10
10x = 1.1111.... → (2)
Subtract (1) from (2) eliminating the repeater, that is
9x = 1 ( divide both sides by 9 )
x = [tex]\frac{1}{9}[/tex]
That is
0.111111... = [tex]\frac{1}{9}[/tex]
2. Based on the table below, determine the exponential function being used. Use x as your variable. Then, evaluate this expression for x=7.
Answers
Answer:
[tex]y=5^{x}\\y=5^{7}=78125[/tex]
Step-by-step explanation:
[tex]y = a^{x}, a=5\\y=5^{x}\\y=5^{0}=1\\y=5^{1}=5\\y=5^{2}=25\\y=5^{3}=125\\and\\y=5^{7} = 78125[/tex]
PLEASE HELP I'M STUCK IN THIS PROBLEM
Answers
Answer:
6
Step-by-step explanation:
Jim ran 15 miles in 5 days. At this rate, how many days will it take Jim to run 165 miles?
Answers
Answer:
55 days
Step-by-step explanation:
Given
Jim ran 15 miles in 5 days
no. of miles ran in 5 days = 15 miles
dividing LHS and RHS by 5
no. of miles ran in 5/5(=1) days = 15/5 miles = 3 miles
no. of miles ran in 1 day = 3 miles
let the no. of days taken to run 165 miles be x ----A
No of miles ran in x days = x*no. of miles ran in 1 day = 3x miles
thus, From A
3x = 165
x = 165/3 = 55
Thus, it took 55 days for JIM to run 165 miles
The lowest temperature on a winter morning was –8$F. Later that same day the temperature reached a high of 24$F. By how many degrees Fahrenheit did the temperature increase?
Answers
Answer:
32 Fahrenheit
Step-by-step explanation:
Since it is -8, subtract -8.
Now, you have 0 Fahrenheit.
Then, you add 24, since the high was -24 Fahrenheit.
The total number you added and subtracted is 32 Fahrenheit.
Hope this helps!
what’s the answer ?
Answers
Answer:
EF = 34
Step-by-step explanation:
EF + FG = EG , substitute values
17x + 3x + 7 = 18x + 11, that is
20x + 7 = 18x + 11 ( subtract 18x from both sides )
2x + 7 = 11 ( subtract 7 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Thus
EF = 17x = 17(2) = 34
Answer:
34
Step-by-step explanation:
g First, you need to find the value of x. To do this you need to add the lengths of EF and FG and set it equal to the total length of EG, then solve.
EF=17x, FG= 3x+7, EG = 18x+11
17x+3x+7=18x+11
Combine like terms.
20x+7=18x+11
-7 -18x
Isolate x.
2x = 4
Divide both sides by 2.
x=2
Now that we have the value for x, we need to plug it into the length of EF to find the numerical value.
17x = 17(2) = 34