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Questions and Answers
In the Cartesian coordinate system, which quadrant(s) will contain points with positive x and positive y coordinates?
In the Cartesian coordinate system, which quadrant(s) will contain points with positive x and positive y coordinates?
- Quadrant II
- Quadrant I (correct)
- Quadrant I and IV
- Quadrant II and III
What is the equation of a parabola that opens upwards?
What is the equation of a parabola that opens upwards?
- $y = x^2 + 1$ (correct)
- $y = x^2 - 1$
- $y = -x^2 + 1$
- $y = -x^2 - 1$
If the base of a right triangle is doubled and the height is halved, how does this change affect the area of the triangle?
If the base of a right triangle is doubled and the height is halved, how does this change affect the area of the triangle?
- The area is doubled
- The area remains the same (correct)
- The area is halved
- The area is quadrupled
In the Cartesian coordinate system, what is the equation of the circle with center at (2, -3) and a radius of 5?
In the Cartesian coordinate system, what is the equation of the circle with center at (2, -3) and a radius of 5?
Simplify the expression $4^{(1/2) + 3}$
Simplify the expression $4^{(1/2) + 3}$
If a parabola has the equation $y = x^2 + 4x - 5$, what are the x-coordinates of its x-intercepts?
If a parabola has the equation $y = x^2 + 4x - 5$, what are the x-coordinates of its x-intercepts?
In the Cartesian coordinate system, what is the equation of the line that is perpendicular to the line with equation $y = 2x - 4$ and passes through the point (3, 5)?
In the Cartesian coordinate system, what is the equation of the line that is perpendicular to the line with equation $y = 2x - 4$ and passes through the point (3, 5)?
If a circle in the Cartesian plane has the equation $x^2 + y^2 - 6x + 8y - 12 = 0$, what are the coordinates of the center of the circle?
If a circle in the Cartesian plane has the equation $x^2 + y^2 - 6x + 8y - 12 = 0$, what are the coordinates of the center of the circle?
What is the value of $3^{(2x+1)} = 81$?
What is the value of $3^{(2x+1)} = 81$?
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