What is an equation of circle O shown in the graph below?
(1) x2 + 10x + y2 + 4y = -13
(2) x2 - 10x + y - 4y = -13
(3) x + 10x + y + 4y = - 25
(4) r2 - 10x + y- 4y = - 25
Answers
Answer:
Equation of circle is [tex]x^2+y^2-12x-4y+24=0[/tex]
None of the options is correct
Step-by-step explanation:
Given: Graph
To find: equation of circle
Solution:
A circle is a locus of all points that are at a fixed distance (radius) from a fixed point (centre).
From the graph,
centre (a, b) = [tex]\left ( 6,2 \right )[/tex]
radius (r) = 4 units
Equation of circle is of form [tex](x-a)^2+(y-b)^2=r^2[/tex]
[tex](x-6)^2+(y-2)^2=4^2\\x^2+36-12x+y^2+4-4y=16\\x^2+y^2-12x-4y+24=0[/tex]
The equation of circle is [tex]x^2+y^2-12x-4y+24=0[/tex]
None of the options is correct
We have given the graph
We have to determine the equation of circle
A circle is a locus of all points that are at a fixed distance (radius) from a fixed point (centre).
From the graph,
centre (a, b) = (6,2)
radius (r) = 4 units
What is the equation of a circle?Equation of circle is of form
[tex](x-a)^2+(y-b)^2=r^2[/tex]
[tex](x-6)^2+(y-2)^2=4^2\\x^2-12x+36+y^2-4y+4=16\\x^2+y^2-12x-4y+24=0[/tex]
Therefore the equation of the circle is [tex]x^2+y^2-12x-4y+24=0[/tex]
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Related Questions
Could someone help please?!
Answers
You pick a card at random from an ordinary deck of 52 cards. If the card is an ace, you get 9 points; if not, you lose 1 point. 2 lines connect and go up to the right and down to the right. The line that goes up to the right points to Ace, and the line that goes down to the right points to Not an ace. StartFraction 4 Over 52 EndFraction is above the lines, and StartFraction question mark Over 52 EndFraction is below the lines. Write the equation for the expected value. E(V) = 4 52 (a) + b 52 (c) a = b = c =
Answers
The equation of the expected value is [tex]E(x) = 9 * \frac{1}{13} - 1 * \frac{12}{13}[/tex]
How to determine the equation of the expected valueIn a standard deck of cards, there are:
Ace = 4
Cards = 52
So, the probability of selecting an ace is:
[tex]p = \frac{4}{52}[/tex]
Simplify
[tex]p = \frac{1}{13}[/tex]
The probability of not selecting an ace is calculated using the following complement rule
[tex]q = 1 - \frac{1}{13}[/tex]
Simplify
[tex]q =\frac{12}{13}[/tex]
The expected value is then calculated as:
[tex]E(x) = \sum x * P(x)[/tex]
This gives
[tex]E(x) = 9 * \frac{1}{13} - 1 * \frac{12}{13}[/tex]
Hence, the equation of the expected value is [tex]E(x) = 9 * \frac{1}{13} - 1 * \frac{12}{13}[/tex]
Read more about expected values at:
https://brainly.com/question/15858152
Answer:
1) A= 9
B= 48
C= -1
2) C.
3) B.
4) 12
Step-by-step explanation:
How many lines can be drawn through points J and K?
0
1
2
3
Answers
Answer:
1
Step-by-step explanation:
Answer:
Only one line can be drawn
Will mark brainliest!
Solve!
9x +25+3x = 34 + 54
HELP!!!
Answers
Answer:
9x + 25 + 3x = 34 + 54
9x + 3x = 12x
34 + 54 = 88
12x + 25 = 88
- 25 - 25
12x = 63
x = 5.25
Answer:
x = 21/4 = 5 1/4
Step-by-step explanation:
9x +25+3x = 34 + 54
Combine like terms
12x+25 = 88
Subtract 25 from each side
12x+25-25 = 88-25
12x =63
Divide by 12
12x/12 = 63/12
x = 21/4
lzzy had 12 guitar strings on monday. by friday, she had 3 what is the percent of change?
Answers
Answer:
The answer is 75%
Step-by-step explanation:
12-75%=3
A right triangle has a hypotenuse with length 13 in. and a leg with length 12 in. Find the area of triangle
Answers
Answer:
[tex]30 {in}^{2} [/tex]
Step-by-step explanation:
First we have to find the value of the other leg of the triangle. To find that we can use the PYTHAGORAS theorem because this is an right triangle.
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {13}^{2} = {12}^{2} + {b}^{2} \\ 169 = 144 + {b}^{2} \\ 169 - 144 = {b}^{2} \\ 25 = {b}^{2} \\ b = \sqrt{25 } \\ b = 5 \: \: in[/tex]
Now let's find the area.
[tex]area = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 5 \times 12 \\ = \frac{60}{2} \\ = 30 {in}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
If ABC is reflected across the y-axis, what are the coordinates of A? A (1-3)
B. (-1, -3)
C. (5,-3)
D. (-1,3)
Answers
Answer:
d. (-1, 3)
Step-by-step explanation:
Reflecting across y axis means the x coordinate will change.
Imagine a mirror image of the triangle on the other side of Y axis.
A's coordinates on the right are (1, 3)
So if we flip across Y the coordinates will now be (-1, 3)
3 stays the same because it is still in the same position vertically.
The correct option will be Option B: When ABC is reflected about the y-axis, then the coordinate of A will be(-1,-3).
What is reflection?Reflection is the transformation of the picture about an axis so that the distance of the reflected image from the axis is the same as the distance of the original image from the axis.
When a point of coordinate (x,y) is reflected by the y-axis then the coordinate of the reflected point will be of coordinate (-x,y).
Given that the triangle ΔABC is reflected across the y-axis.
The coordinate of point A is (1,-3).
When point A of triangle ΔABC is reflected by the y-axis, then the coordinate of y will not change. The mirror image of the triangle will be on the other side of the y-axis.
As we know When a point of coordinate (x,y) is reflected by the y-axis then the coordinate of the reflected point will be of coordinate (-x,y).
Then the coordinate of the reflected point A will be (-1,-3).
Therefore when ABC is reflected about the y-axis, then the coordinate of A will be(-1,-3).
Learn more about reflection
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Spiral Review: Please find the measure of angle 1... State what the relationship is between angle 1 and the 18 degree angle
Relationship: __________
Degree measure of angle 1: __________
Answers
Answer:
[tex]angle \: \: 2 = 162 \: \: degrees[/tex]
Step-by-step explanation:
The angle which is in number 1 is 18 degrees because they're vertically opposite angles.
[tex]angle \: \: 1 + angle \: \: 2 = 180 \\ [/tex]
Angle 1+2 is 180 degrees ( angles in a straight line = 180 degrees)
[tex]1 + 2 = 180 \\ 18 + x = 180 \\ x = 180 - 18 \\ x =16 2 \: \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Order 4.1 x 10^-3 , 0.041 , 4100 , 4.1 x 10^5 , 41,000 and 1.4 x 10^-3 from least to greatest
Answers
Answer:
1.4x10^-3, 4.1 x 10^5, 41,000, 4.1 x 10^3, 4100, 0.041
Step-by-step explanation:
Answer:
1.4x10^-3, 4.1 x 10^5, 41,000, 4.1 x 10^3, 4100, 0.041
Step-by-step explanation:
−3/4×2/3+ −3/4×−5/6 pls answer
Answers
Answer:
-3/4✖️2/3+ -3/4✖️-5/6
Multiplying the terms
-6/12+15/24. Multiplying minus and minus sign will be plus
Taking LCM
-6✖️2/12✖️2+15/24
-12/24+15/24
3/24
1/8 is the answer
Step-by-step explanation:
I hope this will help you:)
The area of a rectangular pool is 5451 m
m2.
If the length of the pool is 79 m, what is its width?
Width of the pool:
m
Answers
Answer:
w= 69 meters
Step-by-step explanation:
if u want to find the width u need to divide
area equals l times w
w equals area divided by l
l equals area divided by w
we need to find width
so w= 5451 divided by 79
w= 69
hope this helps
Seven different names were put into a hat. A name is chosen 106 times and the name Josh is chosen 19 times. What is the THEORETICAL probability of the name Josh being chosen?
HELPPPPPPPP
Answers
We will see that the theoretical probability that the name Josh is chosen is P = 1/7.
How to find the theoretical probability?7 names are put on a hat, theoretically, we assume that all the names have the same probability of being randomly drawn from the hat. So it does not depend on the given information, that would give us the experimental probability.
Then, for the theoretical probability we will have the quotient between the number of names in the hat that are Josh (there is only one) and the total number of names in the hat, this gives:
P(Josh) = 1/7
If you want to learn more about probability, you can read:
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A hovercraft takes off from a platform. It’s height (in meters), x seconds is modeled by h(x)=-(x-11)(x+3). What is the height of the hovercraft at the time of the takeoff?
Answers
Answer:
The height of the hovercraft at the time of takeoff is 33 meters.
Step-by-step explanation:
Height of hovercraft x seconds after takeoff = h(x) = -(x - 11)(x + 3)
Height after takeoff is = h(0) = -(0 - 11)(0 + 3) = -(-11)(3) = 33
So the correct answer is 33 meters. The height of the hover craft at the time of the takeoff is 33 metres.
Answer: 33 meters.
Please mark brainliest
Hope this helps
You need at least 5000 points to earn a gift card from your bank. You currently have 2700 points.You deposit money in your savings account and earn an additional 400 points.
a. Write an equation and inequality that represents the number of points you need to earn a gift card.
b. Change the above equation or inequality to include the additional 400 points.
Answers
Answer:
A.) 5000p-2700p= 2300p B.) 5000p-2700p-400p=1900p
Step-by-step explanation:
A. Is how many points you need after having the 2700. B. Is how many points you need after depositing the money. p=points
what is m help pls !!!
Answers
Answer:
32 degrees.
Step-by-step explanation:
So every triangle =180 degrees.
Firstly, 14 + 45 = 59
Secondly, 180 - 59 = 121
so angle AEB = 121 degrees.
Using vertical angles theorum, angles AEB and CED are equal to each other
so CED = 121 degrees.
121 + 27 = 148
then 180 - 148 = 32
Angle D = 32 degrees
(might want to fact check this I am pretty tired
Complete the point-slope equation of the line through (1,-1) and (5,2)
Use exact numbers
y-(-1)=
Answers
Answer: (y-2) = 0.75(x-5)
Step-by-step explanation:
y-y₁=m(x-x₁)
If y=10,000, what is 0.2% of y
Answers
Answer:
20
Step-by-step explanation:
0.2%=0.2/100=0.002
0.002*10000=20
Hope this helps!
Answer: 20
Step-by-step explanation:
(10000 * 0.2) / 100
2000 / 100
= 20
Translate f(x) = |x| so that it's translated down by 3 units and vertically stretched by a factor of –2. What's the new function in terms of g(x)?
A. g(x) = |x| – 3
B. g(x) = |x – 2| – 3
C. g(x) = 3|x + 2|
D. g(x) = –2|x| – 3
Answers
The -3 is the vertical shift 2 units down
The -2 is multiplied outside of the x, so it’s a vertical stretch.
An architect drew the blueprint for a new office building. He used a scale in which 1 inch represents 7.5 feet. The floor of an office in the building will have actual dimensions of 15 feet by 16 feet. What will be the approximate dimensions on the blueprint?
Answers
Answer:
2 inches by 2.1333...
Step-by-step explanation:
Take the Actual Dimensions and divide them by the scale factor of 7.5 feet to find the dimensions on the blueprint
Please solve the bottom 2 under the 2 that I've already done. 10 points!
Answers
Answer:
1.17
1.52
Step-by-step explanation:
you divide 3.51 by 3
you divide 9.12 by 6
What is 5x=25? Solve !!!!
Answers
Answer:
5
Step-by-step explanation:
Think of it this way:
You are multiplying 5 by something to get 25.
You can divide 25 by 5, and get 5.
25/5= 5
Calculate the volume of this prism.
4 cm
10 cm
5 cm
8 cm
12 cm
Answers
Solution
Hello
I think I know the answer; it is:
41°
Step-by-step explanation:
41° because it’s a right angle and if 90=2y+8, y=41
Please mark my answer.
Cheers, Jake
41 or 10 Hope this helps
What is the location of the point on the number line that is of the way from
A = 18 to B = 4?
O A. 16
O B. 14
O C. 15
O D. 13
Answers
Answer:
c i think
Step-by-step explanation:
not sure
Answer:
B. 14
Step-by-step explanation:
I believe this would be a reasonable answer and I am not so sure about it
a.Name an angle that is complementary to ZAFB. 2
What is the measure of this angle?
b. Name the angle that is supplementary to ZAFB. 2
What is the measure of this angle?
c. Name the angle that is vertical to ZEFD. 4
What is the measure of this angle?
Do not put the angle symbol or the degree symbol. It will be marked incorrect.
need answer quick
Answers
Answer:
SUM OF ANGLE THAT IS ANSWERS
Caitlin was knitting scarves to give as gifts. If she uses 6 balls of yarns for three scarves, how many balls does she need for one scarf?
Answers
Answer:
2 balls
Step-by-step explanation:
6 balls/ 3 scarves
divide the top and bottom by 3
2 balls/ 1 scarf
Answer: 2 balls
Step-by-step explanation: If she uses 6 balls for 3 scarves, then that means she uses 2 balls per scarf. 6 divided by 3 is 2.
which choices are equivalent to the quotient below? check all that apply
Answers
Answer:
[tex] \boxed{D. \: \sqrt{2} \: \: \: and \: \: \: C. \: \frac{ \sqrt{4} }{ \sqrt{2} }} [/tex]
Step-by-step explanation:
[tex] = > \frac{ \sqrt{16} }{ \sqrt{8} } = \frac{ \sqrt{8\times 2} }{ \sqrt{8} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{8}} \times \sqrt{2} }{ \cancel{ \sqrt{8} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]
[tex]C. \: \frac{ \sqrt{4} }{ \sqrt{2} } = \frac{ \sqrt{2 \times 2} }{ \sqrt{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{\sqrt{2}} \times \sqrt{2} }{ \cancel{\sqrt{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]
The equivalent quotient of the expression √16 / √8 are as follows:
√2√4 / √2How to find the quotient of an expression?√16 / √8
√16 = 4
Therefore,
√16 / √8 = 4 / √8 = 4 / 2√2 = 2 / √2
2 / √2 × √2 / √2 = 2√2 / 2 = √2
√4 / √2 × √2 / √2 = √8 / 2 = 2√2 / 2 = √2
Therefore, the equivalent expression of the term √16 / √8 are as follows:
√2 √4 / √2learn more on quotient here: https://brainly.com/question/25940273
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To prove triangles similar, we only need to prove corresponding angles congruent OR corresponding sides are proportional. However, with a quadrilateral, we need to prove corresponding angles congruent, AND corresponding sides are proportional. Explain in your own words why it takes more to prove quadrilaterals congruent. Include examples demonstrating how "just angles" or "just sides" is not enough.
Answers
Answer:
To prove triangles similar, you need to prove that corresponding angles are congruent and corresponding sides are proportional.
Step-by-step explanation:
Please Help Giving Brainliest!!!!! (05.06)Which net matches the solid figure shown below? A three-dimensional cube with a height of 8 centimeters, a length of 6 centimeters, and a width of 3 centimeters.
A net is shown with 3 rectangles attached side by side all with width 8 centimeters and length 6 centimeters. Attached to the middle rectangle above is a rectangle with a length of 6 centimeters and a width of 3 centimeters. Attached to the middle rectangle and underneath are 2 more rectangles with the same length. The widths of these rectangles are 8 centimeters and 3 centimeters.
A net is shown with 3 rectangles attached side by side all with width 3 centimeters. The lengths of the triangles are 8 centimeters, 6 centimeters, and 8 centimeters. Attached to the middle rectangle underneath are 3 more rectangles with the same length. The widths of these rectangles are 3 centimeters, 8 centimeters, and 8 centimeters.
A net is shown with 3 rectangles attached side by side all with width 3 centimeters and length 6 centimeters. Attached to the middle rectangle above is a rectangle with a width of 8 centimeters. Attached to the middle rectangle and underneath are 2 more rectangles with the same length with widths of 8 centimeters and 3 centimeters.
A net is shown with 3 rectangles attached side by side all with width 3 centimeters. The length of the first and third rectangle is 8 centimeters and the middle is 6 centimeters. Attached to the middle rectangle underneath are 3 more rectangles with the same length. The widths of these rectangles are 8 centimeters, 3 centimeters, and 8 centimeters.
Answers
Answer:'Which net matches the solid figure shown below? A rectangular prism with height of 9 centimeters, length of 7 centimeters, and a width of 2 centimeters. Zcm 2cm cm 7 cm 7 cm cm 2 cm'
Step-by-step explanation:
Pls answer this question correctly and I will mark it has brainlist please
Answers
Answer:
18.5
Step-by-step explanation:
First find the area of the two triangles.
1.5 * 1.5 = 2.25
Find the area of the two top rectangles: 2.5 * 1.7 * 2 = 8.5
Finally, find the area of the floor: 1.5 * 2.5 = 3.75
2.25 + 8.5 + 7.75 = 18.5
x + (-11) = -18
X =
Answer here
I
Answers
Answer:
We add 11 to each side to get rid of -11 so x = -18 + 11 = -7.
Answer:
x = -7
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
Add 11 to both sides:
x + (-11) = -18
x - 11 = -18
x - 11 (+11) = -18 (+11)
x = -18 + 11
Simplify. Combine like terms:
x = -18 + 11
x = -7
x = -7 is your answer.
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