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The perimeter of an isosceles triangle is 16cm. The length of the base of the triangle is x+4 and that of the other two sides is x+3. Find the area of the triangle

16=2(x+3)+(x+4)16=2x+6+x+46=3xx=2 - Therefore the base has length 6
a=6y/2 - where y is the perpendicular heighty^2=5^2-3^2y^2=25-9y^2=16y=4
Therefore a=(6*4)/2 a=12 cm^2

PF
Answered by Philip F. Maths tutor
3965 Views

Find the coordinates and the point of intersection between the lines 8x + 7y = 11 and y = 5x + 2

Substitute y = 5x + 2 into 8x + 7y = 11 to get, 8x + 7(5x + 2) = 11This simplifies down to 8x + 35x + 14 = 11And further simplifies to 43x = -3 giving the solution x = -3/43Substituting the x solution bac...

AR
Answered by Adam R. Maths tutor
2704 Views

Integrate lnx with respect to x

= xlnx - the integral 1/x X x with respect to x= xlnx - the integral of 1 with respect to x= xlnx - x + c

SB
Answered by Sam B. Maths tutor
1230 Views

a)By completing the square, prove the quadratic formula starting from ax^2+bx+c=0, b) hence, or otherwise solve 3x^2 + 7x -2= 9, to 3s.f.

a)starting from ax2+bx+c=0, divide through by a, x2+(b/a)x+c/a=0, complete the square (x+(b/2a))2-(b/2a)2 +c/a=0, expand (x+(b/2a))2-(b2/4...

YH
Answered by Yusuf H. Maths tutor
3391 Views

find the diffrential of 3sin2x+4cos2x

dy/dx=6cos2x-8sin2xExplanation: cos x difrentiates to -sinx, we must times the coefficient of cos2x,(4) , by the differential of 2x (ie 2), giving -(4x2)sin2x.Similarly, sinx differentiates cosx, so using...

AC
Answered by Amy C. Maths tutor
5577 Views

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