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Maths
GCSE

There are 5 cards in order from smallest to largest, _ _ _ _ 8. The range is 6, the median is 6, the mode is 2, and the mean is 5. Find the numbers missing on the 4 blank cards.

The range is 6: The range is the difference between the smallest and largest value. So if the largest value is 8, then the smallest value is 8-6=2.The median is 6:Therefo...

ET
Answered by Emily T. Maths tutor
11491 Views

i) The point A on a graph is (6,-7), and point B is (3,5). Calculate the equation of the straight line that passes through both A and B. ii) Does the line pass through the point C (-2,26)?

i) Gradient (m) = ∆y/∆x. Therefore: m = (5-(-7))/(3-6) = (12)/(-3) = -4. Intercept (c) = 5-(3*(-4)) = 5+12 = 17. Therefore: y = -4x+17 ii) x = -2, y = 26. -4(-2) + 17 = 25. 25≠26, therefore the line does ...

AH
Answered by Adam H. Maths tutor
2819 Views

How do I solve simultaneous equations? eg 1) 4x = 16 - 2y and 2) 3x + y = 9

With simultaneous equations it's important to write down all your working so you keep everything clear in your mind and don't get confused. Start by putting all the x and y of both equations on one side. ...

SA
Answered by Sarah A. Maths tutor
3551 Views

The length of a rectangle is five times the width. The area of the rectangle is 180cm^2. Work out the width of the rectangle.

Lets start off by calling the width of rectangle 'w'. The length of the rectangle is 5 times the width, or '5w'. The area of a rectangle can be worked out by multiplying the length by the width, i.e. 5w x...

HW
Answered by Hannah W. Maths tutor
14337 Views

Find the gradient of the line on which the points (1,3) and (3,4) lie and find the y-coordinate of the line at x = 7.

The gradient is m = (y1-y0)/(x1-x0) = (4-3)/(3-1) = 1/2. So the equation of the line is y= x/2 + c where c is a constant. To find the constant, c, we will input one of the given coordinates (1,3). This sh...

RL
Answered by Ryan L. Maths tutor
3236 Views

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