September 24, 2019

Definitions:

An altitude of a triangle is a line segment through the vertex and perpendicular to the base.

All three altitudes intersect at the same point called orthocenter

Right Triangle - has a 90 degree angle, altitudes meet at the vertex of the right angle

Acute Triangle - has an angle less than 90 degrees, altitudes meet inside the triangle

Obtuse Triangle - has an angle more than 90 degrees and has an orthoce...

September 15, 2019

If g(x)= 􏰁-4x^2-3x+2, determine g(􏰁-2)?

Algebra 1, August 2019 Regent exam

We have a function g of x, where x can be any number or variable. To calculate g(􏰁-2), all we need to do is to plug in -2 in the equation everywhere we see x.

Therefore, this equation becomes g(-2)= -􏰁4(-2)^2-3(-2)+2 = -4(4)+6+2= -8

The answer for this problem is -8

Hint: Every time we have a function such as g(x) and are as...

August 7, 2019

Answer and Explanation: Standard deviation is a term that is used to tell how far from the mean (average) the scores lie. Whenever distribution and standard deviation is mentioned on the Regent Exam,  students need to refer to their memory of the normal distribution curve. The mean is in the middle. One standard deviation in both directions, up and down,  is 68% of the whole population. Two standard deviations in both d...

March 4, 2018

A rhombus is a parallelogram with four congruent sides. However, this questions is asking us about diagonals. A parallelogram will be a rhombus if its diagonals bisect pairs of opposite angles, but not each other, making choice 2 wrong. Also, If a parallelogram is a rhombus, the diagonals are perpendicular, making c

February 13, 2018

Coterminal angles share the same initial side and terminal sides. To find one positive and one negative coterminal angles, all you need to do is to add 360 or subtract 360. For example, lets find the two coterminal angles of 60 degrees. Solution: 60+360 = 420 (positive coterminal angle), 60-360 = -300 (negative coterminal angle).

February 9, 2018

The expression 49x^2 - 36 is equivalent to

Use this space for computations.

(1) (7x -6)^2
(2) (24.5x- 18)2

(3) (7x- 6)(7x+ 6)
(4) (24.5x -18)(24.5x+ 18)

If we look carefully at the numbers in the problem we can identify the expression as the difference of perfect squares (a^2 -b^2). 7x if squared will give us 49x^2, and 6 squared is 36. Therefore, we can rewrite the expression as (7x)^2- 6^2. What do w...

March 26, 2017

y=a sin bx

A= amplitude = the height from the center line to the peak (or to the trough)

Period = 2Pi/ b= distance from one peak to the next (or from any point to the next matching point).

Frequency is how often something happens per unit of time (per "1").

Horizontal Shifts:

y= sin(x-2Pi)

move graph 2 Pi units to the right

Vertical Shifts

y=sinx-3

move graph 3 units down