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By completing the square, find the coordinates of the turning point of the curve with equation y = x^2 + 10x + 2

The equation is in the form ax^2 + bx + c, where a = 1, b = 10 and c = 2To complete the square, we write (x + b/2a)^2 + c - (b/2a)^2So here we would have (x + 5)^2 + 2 - 25Therefore completed square form ...

NM
Answered by Niamh M. Maths tutor
7735 Views

Solve x^2 - 3x - 10 = 0 for x by a) factorising and b) the quadratic equation. Then draw a graph of the function, marking when it touches each of the axes.

a) We factorise to find 2 numbers a and b in (x + a)(x + b) such that a + b = -3 and whose product is -10 (ab = -10). (x + 2)(x - 5) = 0 -> x = 5 or -2b) This is a direct application of the quadratic f...

JS
Answered by Joseph S. Maths tutor
3823 Views

What is the difference between verbs "ser" and "estar"?

Because both verbs can be translated to "to be<" in English, distinguishing them can be particularly difficult for students. The verb "ser" is used to describe permanent/unchangeabl...

AA
Answered by Ariadna A. Spanish tutor
2026 Views

Expand and simplify the following equation: 3(2a+2) + 4(b+4)

This problem is best split into two parts either side of the '+' sign seen as they are independent of each other, so the first part: 3(2a+2), as the 3 is outside of the bracket we have to multiply everyth...

JI
Answered by Joseph I. Maths tutor
4013 Views

What is a reflex arc?

The three different types, sensory, relay and motor neurons can all be used in a reflex arc; a relay neuron is not always necessary but often is included. It is easiest to remember them in that order as t...

BB
Answered by Bella B. Biology tutor
4146 Views

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