Form those Formulas
This formula helps you find the halfway point between two points.
What is the Midpoint formula?
When two lines have the same slope, but different y-intercepts.
What are Parallel Lines?
A collection of unique items.
What is a set?
The equation of a circle in standard form.
(x-h)2+(y-k)2=r2
The formula for the distance traveled is d=v×t, where d is the distance, v is the velocity, and t is the time. Solve for v.
What is v= d/t?
These two equations can be used to find the distance between two points.
What are the Distance Formula and Pythagorean Theorem?
When two lines have slopes that are negated, reciprocals of each other.
What are perpendicular lines?
Three general ways sets can be represented.
What are inequalities, interval (brackets/parenthesis), and set-builder notation?
The center of the following circle: (x+7)2+(y-13)2=81.
What is (-7, 13)?
The formula for the volume of a cylinder is V=πr2h, where V is the volume, r is the radius, and h is the height. Solve for h.
What is h=V/(πr2)?
The length of the hypotenuse if the legs of a right triangle are 9 units and 12 units.
What is 15 units?
The equation used to find the slope.
What is (y2-y1)/(x2-x1)?
Write the set {x∣2≤x<6}in interval notation.
What is [2,6)?
The equation of the circle in standard form if the center of a circle is (−9,0), and the radius is 6.
What is (x+9)2+y2=36?
The formula for the slope of a line is m=(y2−y1)/(x2−x1). Solve for x2.
What is x2=((y2-y1)/m) + x1?
The coordinates of one endpoint if the midpoint of a segment is (2,−3), and the other endpoint is (5,−7).
What is (−1,1)?
Point-Slope form
What is y-y1=m(x-x1)?
The set (−∞,3)∪[5,∞) is equivalent to what inequality notation? (Hint: What word is being represented by the U?)
What is x<3 or x≥5 ?
The radius of a circle with center (-7, 13) and a point (8,18) on its' circumference.
What is sqrt(250)?
The formula for the time it takes for an object to fall from a height h is given by t= sqrt((2h)/g) , where t is the time, h is the height, and g is the acceleration due to gravity. Solve for h.
What is h=(1/2)(gt2)
The value of y if the length of segment MP is 9.2, M is (8,5), and P is (-1, y).
What is y= 3?
An equation of the line that passes through (3,7) and is parallel to y-4=(1/2)(x-10).
What is y=(1/2)x+(11/2)?
The set of all real numbers x such that x is greater than or equal to -4 and less than or equal to 7. Write this set in set-builder notation.
What is {x∣−4≤x≤7}?
OR
What is {x∈R∣−4≤x≤7}?
The equation of a circle is (x−3)2+(y+2)2=49. Determine whether the point (9,−2) is inside, outside, or on the circle.
What is inside the circle?
The volume of a right circular cylinder A is 22 cubic centimeters. What is the volume, in cubic cm, of a right circular cylinder with twice the radius and half the height of cylinder A?
(V= (pi)r2h )
What is 44 cm3?