Maths-
SAT
Easy
Question
The equation (x+6)2 +(y+3)2 =121 defines a circle in the xy-plane. What is the radius of the circle?
The correct answer is: 11
The equation of circle 
where (k, h) is centre & r is radius
Here r2 = 121; r = 11
Related Questions to study
maths-
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)
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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.
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.
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For the function f, if f (3x) = x - 6 for all values of x, what is the value of f (6) ?
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A manufacturer determined that right cylindrical containers with a height that is 4 inches longer than the radius offer the optimal number of containers to be displayed on a shelf. Which of the following expresses the volume, V, in cubic inches, of such containers, where r is the radius, in inches?
A manufacturer determined that right cylindrical containers with a height that is 4 inches longer than the radius offer the optimal number of containers to be displayed on a shelf. Which of the following expresses the volume, V, in cubic inches, of such containers, where r is the radius, in inches?
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A psychologist designed and conducted a study to determine whether playing a certain educational game increases middle school students' accuracy in adding fractions. For the study, the psychologist chose a random sample of 35 students from all of the students at one of the middle schools in a large city. The psychologist found that students who played the game showed significant improvement in accuracy when adding fractions. What is the largest group to which the results of the study can be generalized?
A psychologist designed and conducted a study to determine whether playing a certain educational game increases middle school students' accuracy in adding fractions. For the study, the psychologist chose a random sample of 35 students from all of the students at one of the middle schools in a large city. The psychologist found that students who played the game showed significant improvement in accuracy when adding fractions. What is the largest group to which the results of the study can be generalized?
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g(t) = -0.34(t - 5.51)2 + 8.26
The function g above models the growth rate of a certain plant, in millimeters per day (mm/day), in terms of the watering time t, in minutes per day (min/day). What is the meaning of (5.51, g (5.51)) in this context?
g(t) = -0.34(t - 5.51)2 + 8.26
The function g above models the growth rate of a certain plant, in millimeters per day (mm/day), in terms of the watering time t, in minutes per day (min/day). What is the meaning of (5.51, g (5.51)) in this context?
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From 2005 through 2014, the number music CDs sold in the United States declined each year by approximately 15% of the number sold the preceding year. In 2005, approximately 600 million CDs were sold in the United States. Of the following, which best models C, the number of millions of CDs sold in the United States, t years after 2005?
From 2005 through 2014, the number music CDs sold in the United States declined each year by approximately 15% of the number sold the preceding year. In 2005, approximately 600 million CDs were sold in the United States. Of the following, which best models C, the number of millions of CDs sold in the United States, t years after 2005?
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The graph of a line in the xy-plane has a positive slope and intersects the y-axis at a point that has a negative y-coordinate. Which of the following could be an equation of the line?
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Of all juniors and seniors who attended a particular high school during the 2014-2015 school year, 149 participated in the clubs listed in the table above. Each of the 149 students participated in only one of the four school clubs listed. The table shows the distribution of the 149 students by class and club participation.
The band was composed of freshmen, sophomores, juniors, and seniors. If 30% of the students in the band were juniors, how many students were in the band?
Of all juniors and seniors who attended a particular high school during the 2014-2015 school year, 149 participated in the clubs listed in the table above. Each of the 149 students participated in only one of the four school clubs listed. The table shows the distribution of the 149 students by class and club participation.
The band was composed of freshmen, sophomores, juniors, and seniors. If 30% of the students in the band were juniors, how many students were in the band?
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x + 5y =5
2x - y = -4
Which of the following graphs in the xy-plane could be used to solve the system of equations above?
x + 5y =5
2x - y = -4
Which of the following graphs in the xy-plane could be used to solve the system of equations above?
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Tanya earns $13.50 per hour at her part-time job. When she works z hours, she earns 13.50z dollars. Which of the following expression gives the amount, in dollars, Tanya will earn if she works 3z hours?
Tanya earns $13.50 per hour at her part-time job. When she works z hours, she earns 13.50z dollars. Which of the following expression gives the amount, in dollars, Tanya will earn if she works 3z hours?
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In the xy-plane, which of the following changes to the graph of the equation y = x2 + 3 will result in the graph of the equation y = ( x2 + 3 ) - 6 ?
In the xy-plane, which of the following changes to the graph of the equation y = x2 + 3 will result in the graph of the equation y = ( x2 + 3 ) - 6 ?
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The graph above shows the temperature in a room during a day when the thermostat malfunctioned. For which of the following two-hour periods was difference between the maximum and minimum temperatures greatest?
The graph above shows the temperature in a room during a day when the thermostat malfunctioned. For which of the following two-hour periods was difference between the maximum and minimum temperatures greatest?
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Which of the following expressions is equivalent to 2a2(a+3)?
Which of the following expressions is equivalent to 2a2(a+3)?
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In the table above, the ratio of y to x for each ordered pair is constant pair is constant. What is the value of k?
In the table above, the ratio of y to x for each ordered pair is constant pair is constant. What is the value of k?
maths-sat
