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Altitudes in right, acute, obtuse and equilateral triangles.

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 orthocenter outside of the triangle. Equilateral Triangle - is a t

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

If g(x)= -4x^2-3x+2, determine g(-2)? Algebra 1, August 2019 Regent exam Answer and Explanation: 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 asked to calculate g of something, we just plug that

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There are 400 students in the senior class at Oak Creek High School. The number of students who scor

Answer and Explanation:
Standard deviation is a term that is used to tell how far from the mean (average) the scores lie. Whenever distribut

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A parallelogram must be a rhombus if its diagonals

A rhombus is a parallelogram with four congruent sides. However, this questions is asking us about diagonals. A parallelogram will be a rhom

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Give two angles, one positive and one negative that are coterminal with the given angle.

Coterminal angles share the same initial side and terminal sides. To find one positive and one negative coterminal angles, all you need to d

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The expression 49x^2 - 36 is equivalent to

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) Answer and solution: 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 we do next? Well, a^2 -b^2 = (a-b)(a+b). Now let's pl

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Transformations of Trigonometric functions

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 To find an amazing trigonometry tutor, contact us here. #math

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