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let line L have the equation 4y -3x =10, and line M passes through the points (5,-1) and (-1,8), find out if they are perpendicular, parallel, or neither

L:4y=3x+10 -> y=3/4 x + 10/3. M: y= mx+ c such that it passes through the points in question, then m=(-1-8)/(5-(-1))=-3/2. As the gradient of L is not a negative reciprocal of the gradient of M, nor is...

Answered by Illya N. • Maths tutor

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Find dy/dx for the following equation: f(x) = x^7 + 7x

Differentiation is used to calculate the rate of change. For example, if you have the speed of a car (velocity), and you want to find out the how the speed has changed over time (acceleration), you can di...

Answered by Tola S. • Maths tutor

2602 Views

Integrate 2x^3 -4x +5

2x³- 4x + 5For integration we add 1 to the power, and divide by the new powerso: (2x³⁺¹ )/4 - (4x¹⁺¹)/2 +5x⁰⁺¹=1/2 x⁴- 2x²+ 5x

Answered by Anne Elizabeth G. • Maths tutor

4478 Views

A straight line passes through the point (0, 6) and is perpendicular to y = 4x - 5. Find the equation of this line, giving your answer in the form y = mx + c .

perpendicular so the gradient is -1/4
y= -1/4x +CSub in the coordinate (0,6)
6 = -1/4 (0) +C
C=6y=-1/4x +6

Answered by Maria S. • Maths tutor

7795 Views

factorise x^2 - 8x -65

Two numbers add/ subtract to make -8Two numbers multiply to make -65. These are 1 and 65 as well as 5 and 13Seeing as 1 and 65 cant add or subtract to make -8 the numbers we'll use are 5 and 13. These als...

Answered by Kavi C. • Maths tutor

4752 Views