Answers
Answer:
( x - 2 )^2 + ( y - 1 )^2 = 1
Step-by-step explanation:
As i previously explained,
The general form of equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2.
h and k are the co-ordinates of the center of circle and r is the radius
Here, We have (2,1) as the co-ordinates of the center of circle
Now,
( x - h )^2 + ( y - k )^2 = r^2
or,( x - 2 )^2 + ( y - 1 )^2 = r^2
The radius of the circle is 1 units(from figure)
So, put that in, we get
( x - 2 )^2 + ( y - 1 )^2 = 1^2
or, ( x - 2 )^2 + ( y - 1 )^2 = 1
You can simplify this or leave it here.
Related Questions
Can someone PLEASE answer the Algebra Question CORRECTLY BELOW!
Thank you, I will mark brainiest!
Answers
From The picture 2 barrels = 73 gallons
Divide by 2 for gallons per barrel:
73/2 = 36.5 gallons per barrel
Multiply gallons per barrel barrels:
36.5 x 0.045 = 1.6425 gallons.
Rounded to 2 decimals = 1.64
Simplify x + 6.2 + 8.5.
6.2x + 8.5
x + 14.7
14.7x
Answers
Answer:
x + 14.7
Step-by-step explanation:
x + 6.2 + 8.5.
Combine like terms
x + 14.7
________ Or x + 14.7
10
can someone please help me? this is confusing
Answers
Answer:
S=(-2, -9)
T=(-8, -9)
U=(-9, -5)
V=(-6, -5)
Step-by-step explanation:
rotating counter clockwise 90 degrees has a simple formula: (-y, x) simply take your ordered pair and rearrange it to match this formula.
ex. (3, 4) would become (-4, 3)
(-y, x) the negative symbol in front of the y means to switch the sign from either positive or negative to its opposite. since there is no symbol in front of the x you keep that numbers sign the same.
Find the missing probability of 3
Answers
A house was bought for $450 000 and 3 years later was valued at $540 000. Find: a. The new value as a percentage of the old value b. The increase in value over the three year period c. The increase in value as a percentage of the original value
Answers
Answer:
A) The percentage is given by (The new value)/(The old value)*100 = 120%
B) The increase in value is $90000
C) The increase as a percentage is (90000/450000)*100=20%
a. The new value is 120% of the old value.
b. The increase in value over the three-year period is $90 000.
c. The increase in value over the three-year period is 20% of the original value.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
a. To find the new value as a percentage of the old value, we can divide the new value by the old value and multiply by 100 to get a percentage:
New value as a percentage of old value = (New value / Old value) x 100%
= ($540 000 / $450 000) x 100%
= 120%
Therefore, the new value is 120% of the old value.
b. To find the increase in value over the three-year period, we can subtract the old value from the new value:
Increase in value = New value - Old value
= $540 000 - $450 000
= $90 000
Therefore, the increase in value over the three-year period is $90 000.
c. To find the increase in value as a percentage of the original value, we can divide the increase in value by the old value and multiply by 100 to get a percentage:
Increase in value as a percentage of original value = (Increase in value / Old value) x 100%
= ($90 000 / $450 000) x 100%
= 20%
Therefore, the increase in value over the three-year period is 20% of the original value.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ2
The length of a room is two times its breadth and three times its height . if the cost of white wash on the 4 wall at Rs. 50 per m² is Rs. 7200, find the cost of carpeting its floor at Rs. 325 per m²
Answers
Answer:
Step-by-step explanation:
let the height of the room(h) = x
Length(l) = 3*x = 3x
length = 2 * breadth
breadth(b) = length /2 = 3x/2
Cost of whitewashing the 4 walls = ₹ 7200
Area of 4 walls = 7200 ÷ 50 = 144 m² ------(I)
Area of walls = 2lh + 2bh
= 2*3x*x + 2 *[tex]\frac{3x}{2}[/tex] * x
= 6x² + 3x²
= 9x²
9x² = 144 {From (I)}
x² = 144/9
x² = 16
x = [tex]\sqrt{16}=\sqrt{4*4}[/tex]
x = 4 m
height = 4 m
length = 3*4 = 12m
Breadth = [tex]\frac{3}{2}*4=3*2=6 \ m[/tex]
Area of floor = l*b
= 12 * 6
= 72 m²
Cost of carpeting the floor = 72 * 325 = ₹ 23400
Factor out the greatest common factor from 4x4 + 12x2 + 8x.
4(x4 + 3x2 + 2x)
2x(2x3 + 6x + 4)
4x(x3 + 3x + 2)
2(2x4 + 6x2 + 4x)
Answers
Answer:
4x( x^3 +3x+2)
Step-by-step explanation:
4x^4 + 12x^2 + 8x
Factor out 4x
4x( x^3 +3x+2)
Someone please helppp
Answers
Answer:
112
Step-by-step explanation:
A quadratic can be written in the form
ax^2 +bx +c
-3x^2 +4x+8
a = -3 b = 4 c = 8
the discriminant is
b^2 -4ac
(4)^2 - 4(-3) (8)
16+96
112
Answer:
112
Step-by-step explanation:
Discriminant = b² - 4ac
Substitute the values for the variables.
[tex](4)^2-4(-3)(8)\\16-4(-24)\\16-(-96)\\16+96\\112[/tex]
hello could you please help me with this math problem with full explanation which I am unable to solve? Thank you.
Answers
Answer:
14 cm
Step-by-step explanation:
from the right triangle we know that:
- A leg is 8 cm
- B leg is 11 cm
- angle between A and B leg is 90'
If we have one angle which is 90' we can use the following formula:
[tex]c = \sqrt{a^{2} + {b^{2} }[/tex]
[tex]c = \sqrt{8^{2} + {11^{2} }[/tex]
[tex]c = 13.60147[/tex]
A bucket contains 4 red balls and 5 orange balls. Two balls are pulled from the bucket, one after another, without replacement. Build a tree diagram showing the different possible outcomes for the two marbles being drawn. Be sure each branch is labeled with its individual probability and include the probability at the end of each branch.
Answers
Answer:
See the diagram below:
Red 3/8 -----------------> Red-Red = 4/9*3/8 = 1/6
Red 4/9 <
Orange 5/8 --------------> Red-Orange = 4/9*5/8 = 5/18
Red 4/8 --------------------> Orange-Red = 5/9*4/8 = 5/18
Orange 5/9 <
Orange 4/8 ----------------> Orange-Orange = 5/9*4/8 = 5/18
Can you answer this, please?
Answers
Answer:
-x² + 13x + 2
Step-by-step explanation:
you are on ambitious level, and you cannot answer that yourself ? that is trivial. truly. no hidden traps, just straight forward adding and simplifying. what is the problem, please ?
-7x² + 6x² = -x²
5x + 8x = 13x
-1 + 3 = 2
Answer:
3rd option
Step-by-step explanation:
Given
(- 7x² + 5x - 1) + (6x² + 8x + 3) ← remove parenthesis
= - 7x² + 5x - 1 + 6x² + 8x + 3 ← collect like terms
= - x² + 13x + 2
find a number which is when added to it's square the sum will be 72.
Answers
Answer 8
8+8²=72
8+64=72
72=72
please click thanks and mark brainliest if you like :)
Subtract – 7x2 + 4x + 2 from x2 – 3.
Answers
Answer:
8x^2 - 4x - 5
See the steps below for better explanation:
4. 19 feet to inches
Answers
Pls Help, Thanks
According to the partial construction shown, what is the next step in constructing a line perpendicular to a point on the line?
Place compass at point D, and draw an arc that intersects the arc above line DF.
Place compass at point F, and draw an arc that intersects the arc above line DF.
Place compass at point P, and draw an arc above line DF
Place compass at point P, and draw an arc below line DF
Answers
Step-by-step explanation:
First draw a lign segment like DF
Next keep the point on D make an arc by increasing the length of compass
As same keep the point on F make an arc lile same as before
Next there is apoint name it as any meeting on drew arc
connect it to the point with P
Someone help pleasee
Answers
Answer:
Step-by-step explanation:
g(x) = 3f(-2x)
= 3*([-2x)² + (-2x) - 2)
= 3 (4x² - 2x - 2)
= 3 * (4x² - 4x +2x - 2) {Rewrite the middle term}
= 3 *[ 4x(x - 1) + 2(x - 1)]
= 3* [ (x -1) *(4x + 2)]
= 3(x - 1)(4x + 2)
x - 1 = 0 ; 4x + 2 = 0
x = 1 ; 4x = -2
x = [tex]\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]
Roots: x = 1 , (-1/2)
-x/c=6.5
I need to solve for x first then c
Answers
Answer:
[tex]x = -6.5c[/tex]
[tex]c = -\frac{x}{6.5}[/tex]
Step-by-step explanation:
In both cases, you are simply isolating the variable you are trying to solve for:
[tex]\frac{-x}{c} = 6.5[/tex]
Solve for x. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. First, multiply c to both sides, and then divide -1 from both sides:
[tex]\frac{-x}{c} = 6.5\\\frac{-x}{c} * c = 6.5 * c\\-x = 6.5c\\\frac{-x}{-1} = \frac{6.5c}{-1}\\x = -6.5c[/tex]
Solve for c. Isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Multiply -1/x to both sides of the equation:
[tex]\frac{-x}{c} = 6.5\\\frac{-x}{c}(c)) = 6.5(c) \\-x = 6.5c\\\frac{-x}{6.5} = \frac{6.5c}{6.5}\\c = -\frac{x}{6.5}[/tex]
Answer:
x = -6.5c
-x/6.5 = c
Step-by-step explanation:
-x/c=6.5
Multiply each side by -c
-x/c * -c=6.5*-c
x = -6.5c
-x/c=6.5
Multiply each side by c
-x/c *c=6.5*c
-x = 6.5c
Divide each side by 6.5
-x/6.5 = 6.5c/6.5
-x/6.5 = c
Would √x+6 -4 = x be an extraneous solution? The x + 6 are under the radicands line.
Answers
[tex] \sqrt{x + 6 } = x + 4[/tex]
now square both side
Kristian spends 45% of his $ 75 on a game. What is the price of the game
Answers
Answer:
The price of the game is 33.75
Step-by-step explanation:
45% of 75
.45 * 75
33.75
The price of the game is 33.75
Find the value of z.
Answers
Answer:
Option D, 110
Step-by-step explanation:
first we find x
10x+20-80=2(2x+15)
or, x=15
now, 10x+20 = 170
so, z = 360-170-80 = 110
Number of subsets of B={p,q,r}
Answers
Answer:
Step-by-step explanation:
B = {p , q , r}
Number of subsets = [tex]2^{n}[/tex]
Her, n is the number of elements in the set.
Number of subsets = 2³ = 8
Answer:
Sorry I don't know the answer
Triangle CDE is similar to triangle FGH. Find the measure of side HF. Round your answer to the nearest tenth if necessary.
Answers
Answer:
HF = 11.0
Step-by-step explanation:
We can use a ratio to solve
ED EC
----- = ----------
HG HF
23 36
----- = ----------
7 HF
Using cross products
23 HF = 36*7
23 HF = 252
Divide by 23
HF = 252/23
HF =10.95652
To the nearest tenth
HF = 11.0
There is 10% salt solution and a 30% salt solution. How much of each is needed to make 10L mixture that is 25% salt solution?
Answers
Answer:
2.5L of 10% salt solution and 7.5L of the 30% salt solution
Step-by-step explanation:
let the amount of L in the 10% solution be 'x'
let the amount of L in the 30% solution be '10-x'
* because they add up to a total of 10L
10%(x) + 30%(10-x) = 25%(10)
0.1x + 3 - 0.3x = 2.5
-0.2x = -0.5
x = 2.5
x =2.5
10-x = 7.5
2.5 of 10% solution and 7.5% of 30% solution
x -12 = 14
---------------
Answers
[tex]x - 12 = 14 \\ x = 14 + 12 \\ x = 26[/tex]
it was help to you ❤︎❤︎❣︎❣︎★★★
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{x - 12 = 14}[/tex]
[tex]\huge\text{ADD 12 to BOTH SIDES}[/tex]
[tex]\huge\textsf{x - 12 + 12 = 14 + 12}[/tex]
[tex]\huge\boxed{\bullet}\huge\text{ CANCEL out: 12 - 12 because it gives}\\\huge\text{you 0}[/tex]
[tex]\huge\boxed{\bullet}\huge\text{ KEEP: 14 + 12 because it gives you}\\\huge\text{the RESULT of the x-value}[/tex]
[tex]\huge\textsf{a = 14 + 12}\\\huge\boxed{\rightarrow}\huge\textsf{ 14 + 12 = a}[/tex]
[tex]\huge\textsf{14 + 12 = \bf 26}[/tex]
[tex]\boxed{\huge\textsf{Therefore, your answer is: a = 26}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Sam spent 5 of an hour at the dentist's office. He spent to of the time in the waiting room. How much time did he
spend at the dentist's office other than in the waiting room?
0 1 / 2
of an hour
25 of an hour
of an hour
o of an hour
Answers
Answer:
We know he spent 5 sixths which is 50 minutes
Ten percent of 50 is 5
This means he spent 3 quarters of an hour in the office
Answer:
Sam spent 50 minutes at the office, and 1/10 (or 5 minutes) in the waiting room.
So, he spent 3/4 of an hour at the office but not in the waiting room.
Let me know if this helps!
Divide. Write your answer as a fraction in simplest form.
−7/10÷ 2/5= help
Answers
Answer:
- [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{7}{10}[/tex] ÷ [tex]\frac{2}{5}[/tex]
Leave the first fraction
Change division to multiplication
Turn the second fraction upside down
= - [tex]\frac{7}{10}[/tex] × [tex]\frac{5}{2}[/tex] ← cancel 5 and 10 by 5
= - [tex]\frac{7}{2}[/tex] × [tex]\frac{1}{2}[/tex]
= - [tex]\frac{7(1)}{2(2)}[/tex]
= - [tex]\frac{7}{4}[/tex]
f(x) =-x^2+x+13
find f(9)
Answers
Answer:
f(9) = - 59
Step-by-step explanation:
Substitute x = 9 into f(x) , that is
f(9) = - (9)² + 9 + 13
= - 81 + 22
= - 59
Answer:
-59
Step-by-step explanation:
f(x) =-x^2+x+13
Let x = 9
f(9) = - (9)^2 +9+13
= -81 +9+13
= -59
What is the measure of angle c?
Answers
Answer:
29.
Step-by-step explanation:
We know that all functions of any angle must add up to be 180 degrees. using this knowledge we take 54 and subtract it by 180.
That leaves us with 126.
We can safely assume the measurement of angle B, using the angle measured as 97.
This is due to the law of corresponding angles.
97 and angle B; correspond, so they must measure the same.
our sum of 126 subtracted by angle B (97) leaves us with the sum of 29.
85°
4x + 21°
what do I am suppose
Answers
Answer:
x= 16
4x+21 = 85 degrees
Step-by-step explanation:
The angles shown are vertical angles and vertical angles are equal
85 = 4x+21
Subtract 21 from each side
85 -21 = 4x+21-21
64 = 4x
Divide by 4
64/4 = 4x/4
16 = x
Answer:
16degrees
Step-by-step explanation:
As these angle are (vertically opposite angles)
So,85=4x+21,
85-21=4x
x=64/4
x=16degrees
the product of two number is 105. if one number is -3 what is the other number
Answers
Answer: -35
Step-by-step explanation:
You can check it by multiplying -3 and -35 you should get 105
