Mathematics

Hi, can someone please solve this

x=(p+q)/2 y=a(x-p)(x-q) Answer: [ (ap-aq)(q-p) ] / 2-y = a ( x - p ) ( x - q ), where x = ( p + q ) / 2 Substituting x: y = a ( [ ( p + q ) / 2 ] - p ) ( [ ( p + q ) / 2 ] - q ) Subtracting the l

Solve sin5x-sin3x+sinx = 0

solve sin5x-sin3x+sinx = 0, --> means finding values of x for 0deg ( ^ | i dont know how to type the symbol with a ------------ answers: 0deg, 60deg, 120deg, 180deg, 30deg, 150deg help, thanks.-

Partial Table of Tangents

I understand trig fairly well, but Im quite confused as to how a partial table of tangents work. Below is an example. The second column makes sense - its just the result of running the first column in

What do these roman numbers stand for

1)CLXV 2)CLIV AND 3)CCVIII Thank you in advance! :)-CLXV = 100 + 50 + 10 + 5 = 165 CLIV = 100 + 50 + (5-1) = 154 CCVIII = 100 + 100 + 5 + 1 + 1 + 1 = 208-General Roman numerals. C = 100. L = 50 X = 1

Number cell puzzle Method

Is there a methodical way to answer a question like these without using trial and error. The empty cells are filled by adding the two preceding numbers The first ones are straight forward but then the

Implicit differentiation help!!!

find dy/dx of y = (x+y)^2 :/ i dunno how to get the right answer-y = 2(x+y) (1+1y)take dy/dx y = 2(x+y + xy +yy)Multiply y = 2x+2y+2xy+2yyDistribute y-2xy-2yy = 2x+2yMove all y to one side y(1-2x-2y

Geometry: Find the coordinate of the midpoint of a segment whose endpoints have coordinates 5 & -6.

Please explain. Thanks!-use the midpoint formula (c1 + c2)/2 = M where c1 and c2 are the end points M is the midpoint (5+-6)/2 = M M= -.5-to find the mid point of a segment, we must calculate its len

What are three fractions that add up to 1

I need three fractions with different dinominators that add up to 1, for example 1/2 + 1/3 + 1/6. but i need other ones!!!!!-1/10 + 2/5 + 1/2 1/14 + 3/7 + 1/2 1/18 + 4/9 + 1/2 ... 1/198 + 49/99 + 1/2

Why is d/dx (4) = 0 in derivative

Shouldnt it be 4/x?-Derivativegives a slope of a line 4 is a constant number. You can not draw a line to the number 4. Hence no slope, that is,its derivative is zero.-Derivative of a constant is alwa

(2c - 2)-(-6c + 13) i have two more try's to get it right not my math HW online please help thank you

subtract the polynomials-(2c - 2) - (-6c + 13) = (2c - 2) + 6c - 13 = 2c - 2 + 6c - 13 = 8c - 15-how to do it 1) distribute subtraction sign 2c-2+6c-13 2) combine like terms 8c-15 hope this helps-(2c

Help finding lengths of triangle, please!

In a right triangle, a=90°, the hypotenuse is 8cm longer than one side and the other side is half the length of the hypotenuse. Find the lengths of all sides. Can you please show the steps too! than

Can someone help me factorise this??? a^2+9b^2-6ab-2a+6b

a^2+9b^2-6ab-2a+6b =a^2-6ab+9b^2-2a+6b =(a-3b)(a-3b)-2(a-3b) =(a-3b)(a-3b-2)-not factorable-.. a^2 + 9b^2 - 6ab - 2a + 6b = (a - 3b - 2) ( a - 3b )

Math inequality question

I mentioned inequality because th question is listed under the inequality lesson in my text. Question is: Find the values of k for which kx^2 + 8x + 5 = 0 Im not sure where to start with this one. P

Yet another inequality question

The question is composed of two parts: (a) Use algebrato find the set of valuesof x for which x(x - 5) > 36 I found the answer x 9 The second part is the one Im having trouble with. (b) Using your

Integrate the following wrt x : 2x /(x^2+3x+2)

Let : 2x /(x^2+3x+2) = 2x/(x+1)(x+2) = A/(x+1) + B/(x+2) => 2x = A(x+2) + B(x+1) putting x= -1 in(1) , we get : 2(-1) = A(-1+2) => A = -2 putting x=-2 in(1) we get : 2(-2)=B(-2+1) =>B=4 therefore,