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Can anyone please tell me how to derive the joint equation of 2 straight lines

suppose the 2 equations of 2 strt lines are: 2x+3y+9=0, and 5x-4y-7=0, then find the joint equation of those two lines. my teacher told me it is in the form of: ax^2+ 2hxy+ by^2+ 2gx+2fy+c=0, but i ca

How to find the integral of (2cos x+3sin x)/(1+sin x) using the integral of dx/(1+sin x)(this is give below)

integral of dx/(1+sin x)= -2 / (tan (x/2) + 1 Thanks-∫ (2 cos x + 3 sin x) dx / (1 + sin x) = ∫ [2 cos x/(1 + sin x) + 3 sin x/(1 + sin x)] dx = ∫ [2 cos x/(1 + sin x) + 3 (1 + sin x - 1)/(1 + sin x)]

Trigonometry dilemma -sum to product identities

It has been a really long time since i have done anything Trig and i am having difficulty remembering. i am asked to use the sum to product identities to find an identity for cos x - cos 7 x..........

How to solve ln |5|.......................

You already have.ln |5| = ln 5.That is your answer.If you want a decimal APPROXIMATION type it into a calculator and have it evaluate it.

Can anyone find a pattern in this

I saw this from a contact earlier.. In these sets of numbers, can you find some type of patter, whether its between the sets, or in one set itself? (5 6 11 19 20 23) (3 6 8 17 30 44) (1 25 30 36 38 3

Simple integral please help me

integral 3x^2 / x^2 + 1 dx okay i think the answer to this one is obvious but i just cant put my finger on it.please help! if you can please break it down for me.thanks again-I assume your question i

Determine the integral

I=∫(x^2)/(4-x^2)^(3/2) Help please?-Whenever you see something with a denominator that looks something like that, you should think of trig substitution (this allows you to replace a two term denomina

How do you divide polynomials

Dividing Polynomials (〖24x〗^5-〖40x〗^4+〖16x〗^3)÷(〖4x〗^3) (x^2+4x-14)÷(x+6)-There is dividing polynomial by long division and by synthetic division, both of which are very difficult to show on Y!A sin

Just can't understand this algebra problem! any help would be great thanks =)

Question: a sea bird dives off a cliff into the sea. its vertical height (h) above sea lievel in meters is given by the equation h = t^3 - 6t^2 - t +30, where t is the time in seconds since the dive.

A circle has a radius of . Find the radian measure of the central angle that intercepts an arc of length

A circle has a radius of13m . Find the radian measure of the central angle θthat intercepts an arc of length 18m. Do not round any intermediate computations, and round your answer to the nearest tent

Would 4cosec²x - 4cot²x be 4 or 1

4cosec²x - 4cot²x =4(cosec²x - cot²x) since cosec²x - cot²x =1 always 4cosec²x - 4cot²x=4(1)=4 always-answer is 4. 4cosec^2x-4cot^x = 4/sin^2x - 4 cos^2x/sin^2x =4(1-cos^2x)/sin^2x therefore 4(si

How do i express the area as a function of its length.

The rectangle has a width of 6 inches less than 4 times it length.-w=4L-6 A=l(4l-6) A=4L^2 -6L A= 2L(2L-3) get rid of w-Come up with an expression for the area. Lets call the length L, and the widt

Please help me with maths ( matrices )

My lecturer gave me in my notes the proof that a system of linear equations cannot have two solutions but I dont understand it. Please give me yours with some explanations. Thanks.-A system of linear

Can you please help me with these maths question

1. Dad plans to surround a rectangular garden making use of the existing fence as one of the sides. Suppose 100m of fencing are available and let x be the width of the garden. a) find the largest gar

Prove that Cot 180/8 + tan 180/8 =2

All the steps should be written.-= cot 22.5 +tan22.5 = cot 45/2 + tan45/2half angle Identity cot 45/2 = √2 -1, tan 45/2 = √2 +1 =2√2-Cot 180/8 +tan 180/8= C0t(22.5)+tan(22.5)=(rot2+1)+(root2-1)=2…
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