Answer:
[tex](x+5)^2+(y+8)^2=6217[/tex]
Step-by-step explanation:
Hi there!
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at (h,k) and r is the radius
1) Plug the center of the circle into the equation
Center: (-5,-8)
[tex](x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-(-8))^2=r^2\\(x+5)^2+(y+8)^2=r^2[/tex]
2) Determine r²
Plug in the given point (16,68)
[tex](x+5)^2+(y+8)^2=r^2\\(16+5)^2+(68+8)^2=r^2\\(21)^2+(76)^2=r^2\\441+5776=r^2\\6217=r^2[/tex]
Therefore, r² is equal to 6217. Plug this back into [tex](x+5)^2+(y+8)^2=r^2[/tex]:
[tex](x+5)^2+(y+8)^2=6217[/tex]
I hope this helps!
Six times the sum of a number and 25 is at least 30
Answer:
Step-by-step explanation:
Let the number be x then:.
According to the question:
6 * (x + 25) = 30
therefore,
x + 25 = 30 / 6
x + 25 = 5
x = 5 - 25 = -20
Please help! Determine the coordinates of the transformation and plot the image for Rx Axis of the triangle ABC
Answer:
Step-by-step explanation:HI
You got answer already?
Just , look down as in rectangle A" (-6,1)
B"(-1,-3)
C"(-4, 4)
And you have wrong coordinates for C (-4,-4)
Which of the following inequalities is true for ALL real values of x?
x3 ≥ x2
3x2 ≥ 2x3
(2x)2 ≥ 3x2
3(x − 2)2 ≥ 3x2 − 2
Order of operation help help help I have 10 min on the timer left!!! NO LINKS!!!!!!
Answer:
-11
Step-by-step explanation:
Answer:
I believe it's 39.
(9 - 2)^2 - |3 - 17| + 4
(7)^2 - |-14| + 4
49 - 14 + 4
35 + 4
39
Number of study sessions Total Enrollment
Morning class 25 16
Night class 20 22
If the total study sessions for the night class were proportional to the morning class, how many would you expect the night class to have? How does this compare to the actual amount of study session the night class has?
If the night class were proportional to the morning class, we would expect them to have
[ Select ]
[ Select ]
than the number of study sessions they have currently
If the total study sessions for the night class were proportional to the morning class that is 25: 20 then night class have the actual amount 80% students
we can calculate 20/25 *100
and we obtain the actual amount 80%
If the total study sessions for the night class were proportional to the morning class is 25: 20 and 16: 22
What is a proportion simple definition?
the size, number, or amount of one thing or group as compared to the size, number, or amount of another. the proportion of boys to girls in our class is three to one. : a balanced or pleasing arrangement
Initially, the number of lectures is 3 while the number of fieldwork is 12. Furthermore, the class sessions increased to 18 and the number of fieldwork remains the same (i.e. 12). Therefore, the number of lectures will be 18 - 12 = 6. The percentage of the sessions that were lectures will be:
(6/18)*100% = 33.3%
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De las soluciones de la siguiente ecuación: x2 + 8x − 30 = 18? Cual es el numero de mayor valor Entre.
Answer:
The correct answer is "x = 4" and "x = -12".
Step-by-step explanation:
The given equation is:
⇒ [tex]x^2+8x-30=18[/tex]
On subtracting "18" from both sides, we get
⇒ [tex]x^2+8x-30-18=18-18[/tex]
⇒ [tex]x^2+8x-48=0[/tex]
On applying factorization, we get
⇒ [tex]x^2+12x-4x-48=0[/tex]
On taking common, we get
⇒ [tex]x(x+12)-4(x+12)=0[/tex]
⇒ [tex](x-4)(x+12)=0[/tex]
⇒ [tex]x-4=0[/tex]
[tex]x=4[/tex]
or,
⇒ [tex]x+12=0[/tex]
[tex]x=-12[/tex]
Can someone answer this please
Answer:
I think it's m=8, c=0.
Step-by-step explanation:
If c is not 0 then c=-1
If you can buy 5 bags of bananas for $28.15, find the unit price of a bag
of bananas.
Answer:
$5.63
Step-by-step explanation:
Each bag of bananas is $5.63.
If you divide $28.15 by 5 you get $5.63.
Resolve into factor
p⁴+7p²q²+16q⁴
Answer:
15 q4. + 7p2q2 is the correct answer
The equation for the circle below is x2 + y2 = 16. What is the length of the
circle's radius?
Answer:
e) 4
Step-by-step explanation:
This is the form of a circle. Use this form to determine the center and radius of the circle.
(x−h)^2+(y−k)^2=r^2
r=4
h=0
k=0
Why is it br2 and not BR?
Bromine is a diatomic molecule since it is typically found in groups of two.
What is the symbol to represent a chemical compound?
An element's one- or two-letter identification is known as a chemical symbol. O for oxygen, Zn for zinc, and Fe for iron are a few instances of chemical symbols. Symbols always start with a capital letter. Lowercase letters are used for the second letter in symbols with two letters.
A subscript appears after the atom to indicate how many of each kind there are. There is no number written if there is just one atom. The number is given as a subscript after the atom if there are multiples of a particular kind of atom.
Br represents the bromine. Bromine is a diatomic molecule and always needs to be bounded to something. Thus it is bounding to itself.
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1+1=2
2+2=1
1+2=1-2
1-1+2-2
==21 the answer is 21 ok get the :-
6+6=12=?
Answer:
6-6
........................
Write two expressions for the perimeter of a square explain what information is in one of your expression that is not in the other
The expression for the perimeter of a square will be p = 4s.
How to calculate the perimeter?The perimeter of a figure of shape can be gotten the total length of the boundary which the figure or the shape has. it's gotten by adding all the length that the shape has.
It should be noted that a square has four equals sides. The expressions for the perimeter of a square will be:
p = 4 × s.
p = 4s
where s = number of sides.
p = perimeter
For example if the side is 2cm. The perimeter will be calculated by multiplying 4 by the value of the sides. In this case, this will be calculated as:
= Value of sides × 4
= 2 × 4
= 8cm
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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answer:
There's no real solution to your question but thats what I got
[tex] - 2 + \sqrt{3} \: \: \: and \: - 2 - \sqrt{3} [/tex]
A rectangular pool has a length of 24 feet, a width of 12 feet, and a depth of 8 feet. What is the volume of the pool?
Answer:
multiply opposite side and the answer is ready now because check your soulation
Is 3 3 an additive inverse?
3 and -3 are additive inverses because 3 + (-3) = 0.
Therefore, -3 is the additive inverse of 3.
Additive Inverse:
The additive reciprocal/ Inverse of a number is its inverse. When a number is added to the additive reciprocal, both numbers sum to zero. A simple rule is to change positive numbers to negative numbers and vice versa. We know that 3+ (-3) =0. So -3 is the additive reciprocal of 3, and 3 is the additive reciprocal of -3.
If the sum of two real numbers is 0, each real number is said to be the additive reciprocal of the other real number. Therefore, R + (-R) = 0. where R is a real number. R and -R are the additive reciprocals of each other. Example: 3/4 + (-3/4) = 0. where 3/4 is the additive reciprocal of -3/4 and vice versa. This is an example of the additive reciprocal of a fraction.
We have room temperature water in a bucket. Adding 1 liter of hot water raises the temperature of the entire bucket by a certain amount. Then add another liter of cold water. Opposite temperature water in the bucket will cancel out, resulting in a bucket of room temperature water. The same rules apply when taking the additive reciprocal of a number. The additive inverse property applies to both real and complex numbers.
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3, is less than, x, minus, 10
Answer:
= or >14
Step-by-step explanation:
x needs to be equal to or greater than 14
How do you find the y-intercept without a calculator?
In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y -intercept of the line.
Now, According to the question:
i) from the general equation of line we know that any line can be represented in the form y = mx + c , where m is a constant and is called the slope of the line and c is also a constant and is the y-intercept.
ii) In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y intercept of the line.
iii) If for example we have the line 3y = 6x + 12 then we first get this equation of the line to match the general form of the equation of the line, that is y = mx + c. Therefore dividing both the left and the right sides of the given equation of the line by 3 we get y = 2x + 4 which matches with the general form of the equation for line and we see that the slope of the given line is m = 2 and the y intercept is given by c = 4.
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if AB||EF and EF||CD, then find the value of x.
Answer:
x = 40°
Step-by-step explanation:
∠ FEC and ∠ ECD are same- side interior angles and sum to 180° , that is
150° + y = 180° ( subtract 150° from both sides )
y = 30°
∠ BCD and ∠ ABCare alternate angles and are congruent , so
x + y = 70° , that is
x + 30° = 70° ( subtract 30° from both sides )
x = 40°
the equation of a function is y=4x-1 1/2 find the value of y when x=6
the answer is 45/6 but please anyone tell in full explana
tion I will mark them brainlist like them and rate them
Answer:
y = 45/2
Step-by-step explanation:
Given:
y = 4x - 1 1/2
find the value of y when x=6
y = 4x - 1 1/2
Substitute x = 6 into the equation
y = 4(6) - 1 1/2
y = 24 - 1 1/2
** 1 1/2 = 3/2
y = 24 - 3/2
y = (48-3) / 2
y = 45/2
y = 45/2 when x = 6
1.The income of man increase in the ratio 7 : 8 . If the increase in his income is rs 4500 per month find his new income.
2.The ages of two sister are in the ratio 7 : 5 if the age of elder sister is 15 years 9 months, what is the age of younger sister.
The new income is new income.
Rs. 36000 per month. 6 years and 6 months.What is the new income.?Generally, To find the new income of the man, we can use the formula: New Income = Original Income + Increase in Income
Since the ratio of increase in income is 7:8, we can assume the original income to be 7x and the new income to be 8x.
The increase in income is given as Rs. 4500 per month, so we can set up the equation as:
8x = 7x + 4500
By solving for x, we get that
x = 4500.
Therefore, the new income of the man is
8x = 8 * 4500
= Rs. 36000 per month.
b)
The ages of the two sisters are in the ratio 7:5. If the elder sister is 15 years 9 months old, we can assume her age in months to be
15*12 + 9 = 189 months.
Let's assume x be the age of younger sister in months.
So, according to the ratio 7:5, we can set up the equation as:
x = (5/12)*189
By solving this equation we get
x= 78.75 months, which is roughly 6 years and 6 months.
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does anyone know geometry really well?? and can help me pleaseee? i have missing assignments because i dont understand one single thing :/
Answer:
where is the question?
Step-by-step explanation:
Step-by-step explanation:
Step-by-step explanation:
Step-by-step explanation:
Step-by-step explanation:
Step-by-step explanation:
the hcf of 13 and 13
Answer: The answer is 3
Step-by-step explanation:
Factors of 13 are 1, 13, and there are 2 integers that are factors of 13. The greatest factor of 13 is 3
help me please this is due today
Answer:
it is D.
Step-by-step explanation:
I wish it helps you
Answer:
I think its D
Step-by-step explanation:
cuase the fruits are cheap and it's the lowest
Which inequality is shown on the graph?
A rope that is 6 meters long will be cut into 24 pieces that are all of the same
length. What will be the length of each piece, in centimeters?
Answer: I would say 4 centimeters
Step-by-step explanation: Well if 24 divided by 6 equals 4 then I would say 4
Based on the length of the rope and the number of pieces it is to be cut into, the length of each piece will be 25 cm long.
First covert the length of the rope to centimeters:
= 6 x 100
= 600 cm
The length of each piece will be:
= Length of rope / Number of pieces
= 600 / 24
= 25 cm
In conclusion, each piece will be 25 cm long.
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Choose all of the equations that represent a parabola with the focus (3,9) and the vertex (3, 6).
A. 12y = x² - 6x+81
B. 24y=x²-12x + 72
C. 24y=x² - 6x + 225
D. (x-3)2 24 (-9)
E. (x-3)² = 12 (y – 6)
F. (x-9)² = 24 (y - 3)
(x-3)² = 12 (y – 6) is the equation for a parabola with the vertex (3, 6) and focus (3, 9) in it.
what is parabola ?A parabola is a U-shaped plane curve in which every point is situated at an equal distance from both the focus, a fixed point, and the directrix, a fixed line. The topic of conic sections includes parabola as a key component, and all related parabola topics are discussed. a plane curve produced by a point shifting such that its separation from a fixed point equals its separation from a fixed line: junction of a plane parallel to an element of a right circular cone with the cone. : a bowl-shaped object (such as an antenna or microphone reflector)
given
focus (3,9) and the vertex (3, 6)
general equation of parabola = (x - h)2 = 4a (y - k)
a = |y2 - y1| = | 9 - 6 |
a = 3
so
(x - 3 )[tex]^{2}[/tex] = 4 * 3 ( y - 6 )
= [tex](x-3)^{2} = 12 ( y - 6 )[/tex]
(x-3)² = 12 (y – 6) is the equation for a parabola with the vertex (3, 6) and focus (3, 9) in it.
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Help me please I don't know it
Answer:
65
Step-by-step explanation:
Method 1(Algebra):
m - 14 = 51
Add 14 to both sides of the equation.
m - 14 + 14 = 51 + 14
Combine like terms.
m = 65
Method 2:
m - 14 = 51
Move negative fourteen(- 14) to the other side of the equation. Because we moved it, it is now positive fourteen( + 14)
m = 51 + 14
Combine like terms.
m = 65
Molly drew a blue line that was 19 1/12 inches long. Then she drew a green line that was
8 5/12 inches long. How much longer was the blue line than the green line?
Answer:
10 2/3 inStep-by-step explanation:
Subtract the values:
19 1/12 - 8 5/12 = 18 13/12 - 8 5/12 =18 - 8 + 13/12 - 5/12 = 10 + 8/12 =10 8/12 = 10 2/3 inILL GIVE BRAINLIES IF CORRECT