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Solve the following simultaneous equations: equation A 2y+3x=14 equation B y+2x=8

Step 1: make one term in both equations the sameHere we will multiply equation B by 2 so that there is a 2y in both equationsEquation C = 2 x equation B = 2y + 4x = 16
Step 2: Combine the equationsIf...

RH
Answered by Rhiannon H. Maths tutor
1969 Views

Solve the following quadratic: x^2 -5x +6=0

Step 1: factorise Find two numbers which add to make -5 and multiply to make 6--- -3 and -2(x-3)(x-2)=0
Step 2: recognise solutionsTo make the left hand side equal the right hand side, we can make on...

RH
Answered by Rhiannon H. Maths tutor
4087 Views

What is the magnitude and direction of the resultant force of 3N horizontal and 5N vertical?

Magnitude:
Find the square root of 3^2+5^2=root of 34=5.83N (3sf)
Direction:
Draw a triangle with 3N at the bottom, 5N going up and the hypotenuse then represents the resultant force.The di...

RH
Answered by Rhiannon H. Maths tutor
3637 Views

What is the gradient of the curve 3x^3 + 7x at the point x=3?

The gradient or the slope of a curve is defined as the change in the y direction over the change in the x direction (dy/dx). In order to calculate a formula for the gradient of a curve we must differentia...

JK
Answered by Junaid K. Maths tutor
3004 Views

Find the values of k for which the equation (2k-3)x^2- kx+(k-1)=0 has equal roots.

For a quadratic to have equal roots, the value of the discriminant (b2-4ac) =0. This means that the quadratic formula yields only one result (or two equal roots), since x=(-b ±0)/2a , thus if a...

HK
Answered by Henry K. Maths tutor
11054 Views

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