Math History
The ancient Egyptians used this shape to build their iconic structures.
A pyramid
Solve for x
4x=2x+4
x=2
What is the equation of the line perpendicular to the line y=1/5 x+12 that passes through points (0,2)?
y=-5x+2
What is the longest side of a triangle?
The Hypotenuse
Solve the equation: 10 - 32 + 4 x 2
9
This Greek mathematician is famous for his theorem about right triangles
Pythagoras
Simplify
8√10-4√10
4√10
What is the radius and the center of circle (x+2)²-(y-4)²=81
The center is at (-2, 4), and the radius is 9
In a right triangle, what is the ratio of the opposite side to the hypotenuse?
Sine
Solve: 625 / 25 - 12
This mathematician's name sounds like a part of a triangle and is famous for his work in geometry
Euclid
What is the order of operations?
Parenthesis, exponents, multiplication, division, addition, subtraction.
There is a triangle on points (0,3), (0,8), and (5,3). When rotated about the y-axis, what 3D shape does it create?
A cone
In a right triangle this theorem is used to find a missing side length.
Pythagorean Theorem
Solve: 18 x 3 - 16 + 4
42
The shape of honeycombs is a hexagon because it is the most efficient way to use space. This idea is studied in what branch of math?
Geometry
Solve to find x and y
x+8=y
2x=3y
x=-24
y=-16
Solve the following proof
CPCTC
In a right triangle, the hypotenuse length is 13 units, and the length of one leg is 5 units. What is the length of the other leg?
use Pythagorean Theorem, 12.
Solve: square root of 75 + square root of48
9square root of3
This 17th-century mathematician discovered a formula to find the area under a curve, which helped create calculus
Isaac Newton
Solve for x
4√16+5x=2(9+3)-3x
x=1
What step of copying an angle by hand is missing here?
Draw a ray with one endpoint. This endpoint will be the vertex of the new angle.
Place the compass on the vertex of the given angle, and swing an arc that intersects both rays of the given angle
Place the compass on the vertex of the new angle and swing an arc similar to the first one you created.
Open the compass to the width of the intersection points of the rays and arc of the given angle.
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Draw a ray through the new vertex and the intersection point of the two arcs.
This second ray creates an angle that is congruent to the given one.
Place the compass on the intersection point of the ray and arc of the new angle and swing another arc that intersects the first.
A 10-meter ladder is leaning against a wall. The angle between the ladder and the ground is 60°. How high up the wall does the ladder reach? Hint: Use a Calculator
Height=8.66
Simplify (3x3 + 2x2 - 5x) + (-8x3 + 3x)
-5x3 + 2x2 - 2x