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√3(√30 + √8) can be simplified into the follwing format: x√10 + y√6 where are x and y are integers. Find the value of x and y.

Begin by expansion (√a x √b = √ab): √3 x √30 = √90 and √3 x √8 = √24. Therfore we have: √90 + √24. Simplify roots (√a^2√b). The question tells us we need x√10 so therefore √90 = √9√10 (9x10 = 90) and we n...

Answered by Holden D. Maths tutor
3618 Views

Simplify the following expression fully: 8x + y - 6y − 5x

8x + y - 6y - 5x= 8x - 5x + y - 6y= 3x - 5y

Answered by Patrick C. Maths tutor
3024 Views

What is the meaning of vector cross product?

A binary operation between two vectors it results in another vector perpendicular to the two input ones meaning it is the normal of the plane containing the two vectors involved in the operation. An advan...

Answered by A M S. Maths tutor
1117 Views

P has coordinates (3,4), Q has coordinate (a,b), a line perpendicular to PQ has equation 3x+2y=7. Find an expression for b in terms of a

Rearrange the equation of the line perpendicular to PQ to give y = -(3/2)x + 7/2. Gradient of this line = -3/2Using the knowledge that the gradients of a line perpendicular to another line is related by a...

Answered by Jack L. Maths tutor
4088 Views

Solve by factorisation. 2x(^2)+5x-12=0

To factorise and solve for x, open two sets of brackets, i.e: (x )(x ). For this question note than one x should be replaced by 2x such that (2x )(x ). List the pairs of numbers that give a product of 12,...

Answered by Emily W. Maths tutor
6336 Views

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