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The equation of line A is y = 6x -4. The equation of line B is 2y - 12x + 14 = 0. Are these two lines parallel?

Line A has a gradient of 6, because it is in the form y = mx + c, where m=6. Line B can be rearranged to y= 6x - 7, so the gradient is also 6. The gradient of both lines is the same, so they are parallel.
ML
Answered by Matthew L. Maths tutor
3858 Views

Express x^2 +10x -3 in the form (x + p)^2 + q

x 2 +10x-3=(x+5) 2 -25-3= (x+5) 2 -28
CT
Answered by Carmen T. Maths tutor
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3/5 of a number is 162. Work out the number.

If we call the unknown number 'x' we can put it in to an equation to work it out as we known 5/3 of the number is 162.5x/3 = 162then times each side of the equals symbol by 5 to get (3x/5) 5 = 162 35which is...
LM
Answered by Lucy M. Maths tutor
14364 Views

Calculate 7.6 x 32.5

Treat both numbers as whole numbers - i.e 76 x 325 (remember at the end that there are still decimals!) 76 x 325 = 24,700 ( This will be explained by using the two lines by 1st method or method that the stud...
JH
Answered by James H. Maths tutor
3762 Views

x = 0.436363636... (recurring). Prove algebraically that x can be written as 24/55.

We need to multiply x by powers of 10 in order to get the recurring part on its own after the decimal point, and then be able to eliminate it. 10x = 4.363636... and 1000x = 436.363636...So subtracting we get...
JP
Answered by Joanna P. Maths tutor
29631 Views