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Find the coordinates of the turning point of the equation y =x^2-8x+10

We know that the turning point of this quadratic will be a minimum point because the coefficient of x2 is positive (1). To find the turning point, we must complete the square: y= (x-4)2 -16 +10...

Answered by Sita R. Maths tutor
5110 Views

The length of a rectangle is five times the width. The area of the rectangle is 1620cm2. Work out the width of the rectangle.

For this question, we need to know the formula for finding the area of a rectangle is (length * width)From the question, Width = w; Length = 5wArea = 5w *w =1620cm2. therefore, 5w2 =...

Answered by Eme H. Maths tutor
2569 Views

Multiply out and simplify (x+7)(x-3)

Using FOIL (First, Outside, Inside, Last), we get:F: x2O: -3xI: 7xL: -21Adding these together gives x2 + (-3x) + 7x + (-21)Which is the same as x2 - 3x + 7x - 21Which simp...

Answered by Glen R. Maths tutor
3864 Views

Find the intersection point between the equations y=4x+7 and 3y=12x+21

-Take the second equation and divide all terms by 3.-This gives us two equations set up as "y = mx+C" -Make the equations equal to each other as Y = Y at the point of intersection.-Solve from he...

Answered by Sahil M. Maths tutor
2279 Views

Solve the simultaneous equations: 2x + y = 18, x - y = 6

Step 1) 2x + y = 18 (a) Step 2) x - y = 6 (b) Step 3) using (a): y = 18 - 2x (c) Step 4) using (b): y = x - 6 (d) Step 5) Combine (c) and (d): 18 - 2x = x - 6 (e) Step 6) Rearange (e) to find x: 3x = 24 -...

Answered by Gabriel E. Maths tutor
2157 Views

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