Top answers

Two points have coordinates (1,-6) and (-2,3). Find the equation of the line which joins them, and their midpoint.

To find the line's equation, you need the gradient and the y-intercept. The gradient is found using: (y2-y1)/(x2-x1) Or simply (change in y direction)/(change in x direction) In this case, the gradient =(3+6...
KV
Answered by Kara V. • Maths tutor
8016 Views

Show that the following system of equations has an infinite number of solutions. x+y+2z = -2; 3x-y+14z=6; x+2y=-5

Substitute values of one equation into another. (1) x+y+2z = -2; (2) 3x-y+14z=6; x+2y=-5 (3). Substitute x in (1) and (2) from (3). We get -y+2z=3 in (1). We get -7y+14z=21 in (3). Since (3) is (1)*7, we can...
ES
Answered by Egidijus S. • Maths tutor
8073 Views

When the polynomial 3x^3 +ax+ b is divided by x−2 , the remainder is 2, and when divided by x +1 , it is 5. Find the value of a and the value of b.

Insert the negative values of the divisors and put them into the polynomial. x-2 -> P(2) = 3 4+2a+b=2 x+1 -> P(-1)=3 (-1)+(-1)a+b=5. 22+2a+b=0 -8-a+b=0, then solve the simultaneous equations and obtain...
ES
Answered by Egidijus S. • Maths tutor
18708 Views

How is frequency density calculated?

Frequency divided by class width
UY
Answered by Umamah Y. • Maths tutor
12316 Views

y is proportional to x^2. When y is 75, x is 5. Find a formula for y in terms of x

y is proportional to x 2 so this means y = A*x 2 for some constant A. When y = 75, x = 5. Put these values in the formula above to find A: 75 = A*25 75/25 = A A = 3 So y = 3x 2
TM
Answered by Thomas M. • Maths tutor
6150 Views