Question
The equation (x + 6)2 + (y + 3)2 = 121 defines a circle in the xy-plane. What is the radius of the circle?
- 11
The correct answer is: 11
the given equation is
upon modifying we get
![not stretchy rightwards double arrow left parenthesis straight x minus left parenthesis negative 6 right parenthesis right parenthesis squared space plus space left parenthesis straight y minus left parenthesis negative 3 right parenthesis right parenthesis squared space equals space 11 squared](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQQAAAATCAYAAAB2rHOdAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAA8tJREFUeNrtXEFoU0EQXaSEHKQQRKT0JlKKSAmISClBBOlBPIggIkVEhCCliEhv4kFECB6kVxEpIl48eJBShCBSQimCFPFUBCkexHsRCSHwnTET+l33/7//Z/fP/mQfzCHT7Z/987azM7ObCuHh4TFqCEg6IJsgx7xLPDEenqMDIIsg23kZRGMNxhfmsN8gu0k6VmIc4spzxI92HkZmQLYYX5LT/ibZT9KxEOOQrzxH/DgDspGXw6uML2rT/imQ1yB7tEDekmP7OAnSkn5HpWMhxiGubNg9C7IO8pu4+QqyAnJIgw+XOUJMgdwH+Wxo3ARxcNT2xKtkiAs27dcpAEzR53GQBcVCatECS9LlSoxDXNmy+wHkEkhJsvVOMbYoHPXxktZfYGAcrt81ei/reAyyxOg4W/aPg3zSHHtbURurdKaICQrGVd529xzgyBSCAcdNUBY1PuhEljUfgtG4FvpcplpxUhp3mP7AyoYdJts3hacgVzXHzoK8T9AZI2aAgBD2VQVkVzEGG2o/FGm3ixypgLv6jgMcuRIQ8H2mTUzkHsh3kDmNaFySdCdoImFg1J23tBuULDx3J8UuUVLsSrLOGDEDBATZV03qkYRxjsqkInAUxhGQG9RHOM/AUaAhHAEh1TwCTXlEO4cK3Qg9poj9o53rVOvYQNfSc9uUPr4RvaZVhzKchYjxnQSdqQUySECQfXVTkTK/SJEZcXOk8uudmLF5cuRKhmAcz8nYqwxkY3ceu7XfNFLQrBG2a+m5qN+m3WaMAuIc7UCLGRabyUWfdeHKvqoQN+Ed81fMbu4aR/K7XAT5KP49BcqLo6EICLoZQiMmQ4hLB2vk8LrlBlLJ0nMnFfoq1dhp01GORaLjq6bYPw7ETG61QBypcJCCgsiZI1dLBmPQ7SE0I8ZgAGlRir1mcZ5NjTlmwXpMEOxkaFi5EBBUvsKy4WHo5/MF4iiu3BPMHA1dybBM0TYJUUdKD6jJg7gmehdGbMDWkRaWBVcU+mnFDrRE80jScQcEla8w1e43UH8WjCMVZqisE8wcDW0PIQmqSyf9231hPKHAkId9E8B0coN20DHSnQb5Inqd+DDSXHrhDAhRvmpSr2glxzViAsjP5VCPB28u7lLpI5g5GtmAgNgS+/fCy7TAKhFp+Kxl+yaBdyeeiV6jrUsLUD5Pz3It1hWuwmVDIP4/gnSdoxqVo20SvLl4QTGuaBwJka757drJiP9yk4bOFah8VY1Isz1HHplxS/B+/ZnDPtafdQ2d61zdFb0vyHiOPDw8/pZ4/h+2jBj+ACXpiUb5cA5QAAAB53RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbyBzdHJldGNoeT0iZmFsc2UiPiYjeDIxRDI7PC9tbz48bW8+KDwvbW8+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPng8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1vPig8L21vPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjY8L21uPjxtbz4pPC9tbz48bXN1cD48bW8+KTwvbW8+PG1uPjI8L21uPjwvbXN1cD48bW8+JiN4QTA7PC9tbz48bW8+KzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPig8L21vPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj55PC9taT48bW8+JiN4MjIxMjs8L21vPjxtbz4oPC9tbz48bW8+JiN4MjIxMjs8L21vPjxtbj4zPC9tbj48bW8+KTwvbW8+PG1zdXA+PG1vPik8L21vPjxtbj4yPC9tbj48L21zdXA+PG1vPiYjeEEwOzwvbW8+PG1vPj08L21vPjxtbz4mI3hBMDs8L21vPjxtc3VwPjxtbj4xMTwvbW4+PG1uPjI8L21uPjwvbXN1cD48L21hdGg+oLgCyQAAAABJRU5ErkJggg==)
On comparison with general from we get radius r = 11
Related Questions to study
2 , 10 , 3 , 7 , 6
The mean of the list of numbers above is what fraction of the sum of the five numbers?
2 , 10 , 3 , 7 , 6
The mean of the list of numbers above is what fraction of the sum of the five numbers?
y = x2 – 4x + 4
y = 4 – x
If the ordered pair (x, y) satisfies the system of equations above, what is one possible value of x ?
y = x2 – 4x + 4
y = 4 – x
If the ordered pair (x, y) satisfies the system of equations above, what is one possible value of x ?
In a science classroom, when labs are performed, students are seated at lab tables. If the teacher assigns 2 students to each lab table, 4 additional lab tables will be needed to seat all of the students. If the teacher assigns 4 students to each lab table, 4 lab tables will not be used. How many students are there in the science class?
In a science classroom, when labs are performed, students are seated at lab tables. If the teacher assigns 2 students to each lab table, 4 additional lab tables will be needed to seat all of the students. If the teacher assigns 4 students to each lab table, 4 lab tables will not be used. How many students are there in the science class?
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)
Point C is the centre of the circle above. What fraction of the area of the circle is the area of the shaded region?
![](data:image/png;base64,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)
Point C is the centre of the circle above. What fraction of the area of the circle is the area of the shaded region?
Pure beeswax has a density of 0.555 ounce per cubic inch. An online company sells pure beeswax at a price of $8.00 per ounce. What is the selling price, in dollars per cubic inch, for pure beeswax purchased from this company? (Disregard the $ sign when gridding your answer. For example, if your answer is $1.37, grid 1.37)
Pure beeswax has a density of 0.555 ounce per cubic inch. An online company sells pure beeswax at a price of $8.00 per ounce. What is the selling price, in dollars per cubic inch, for pure beeswax purchased from this company? (Disregard the $ sign when gridding your answer. For example, if your answer is $1.37, grid 1.37)
A researcher surveyed 200 adults selected at random from the city of Aldley and 300 adults selected at random from the suburbs of Aldley. Each person surveyed was asked whether he or she owns a car. Some of the results are shown in the partially completed table below.
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)
The researcher found that an adult surveyed in the suburbs of Aldley is twice as likely to own a car as an adult surveyed in the city of Aldley. Of the following, which could be the value of x ?
A researcher surveyed 200 adults selected at random from the city of Aldley and 300 adults selected at random from the suburbs of Aldley. Each person surveyed was asked whether he or she owns a car. Some of the results are shown in the partially completed table below.
![](data:image/png;base64,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)
The researcher found that an adult surveyed in the suburbs of Aldley is twice as likely to own a car as an adult surveyed in the city of Aldley. Of the following, which could be the value of x ?
The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If a player answered 40 questions and obtained a score of 50, how many questions did the player answer correctly?
An equation is given in the form of ax + by + c=0. Here, 'a' and 'b' are real values and coefficients of x and y. Then, the equation is said to be a linear equation within the two variables. Examples of linear equations with two variables include x+4y = 3 and -x+5y = 2. Solution of a Linear Equation in 2 Variables: A pair of numbers (x, y), one for 'x' and the other for 'y,' that make the two sides of the equation equal. It is the solution of a linear equation in 2 variables. For instance, (0,4) is one of the answers if 2x + y = 4 since it satisfies the equation. A two-variable linear equation has infinite solutions.
The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If a player answered 40 questions and obtained a score of 50, how many questions did the player answer correctly?
An equation is given in the form of ax + by + c=0. Here, 'a' and 'b' are real values and coefficients of x and y. Then, the equation is said to be a linear equation within the two variables. Examples of linear equations with two variables include x+4y = 3 and -x+5y = 2. Solution of a Linear Equation in 2 Variables: A pair of numbers (x, y), one for 'x' and the other for 'y,' that make the two sides of the equation equal. It is the solution of a linear equation in 2 variables. For instance, (0,4) is one of the answers if 2x + y = 4 since it satisfies the equation. A two-variable linear equation has infinite solutions.