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Solve for x and y: x ^2 +2y = 9,y = x + 3

  1. Replace y with x + 3. x^2 + 2(x+3) = 9
    2) Expand the bracket, and subtract 9. x^2 + 2x - 3 = 0
    3) Factorise the quadratic(x - 1)(x + 3) = 0
    4) Therefore, x has 2 solutions. x = 1 and ...
CK
Answered by Changavy K. Maths tutor
2407 Views

what is 87% of 654

First, lets find 1%. TO do this, divide 654 by 100. This is because 654 is 100%, so 654/100 is 100/100% = 1%. Now that we have 1%, multiply this by 87 to find out what is 87%.

NZ
Answered by Nikita Z. Maths tutor
823 Views

Find the equation of the line that passes through ( 5 , -4 ) and (3,8).

The equation of a straight line takes the form of y=mx+c where m is the gradient of the line and c is the y-intercept (where the line crosses the y-axis). The best way to start this question is to draw a ...

KZ
Answered by Ksenia Z. Maths tutor
4064 Views

How do you calculate the area of a triangle when the question tells you the length of all three sides but no angles?

  1. use the cosine rule to get angle A; cos(A) = (b2 + c2 - a2)/2bc2) Use '1/2 x a b x sin(C)' to get the area of the triangleNote: the side 'a' is the one opposite angl...
TH
Answered by Tom H. Maths tutor
2547 Views

Sarah plans to paint a rectangular wall of dimensions 8.7m x 2.3m. A tin of paint costs £16.10 and covers 6 metres squared. Sarah has a budget of £56, can she afford to paint the wall? Explain your reasoning.

(This question would appear on the calculator paper of GCSE Maths) The first step is to calculate the total area of the rectangular wall by multiplying the width and height of the wall: Area (recta...

RS
Answered by Rob S. Maths tutor
4197 Views

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