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What is the length of the hypotenuse of this right angled triangle?

Pythagoras theorem can be used to calculate the length x of the triangle. The length of the hypotenuse is equal to the square root of a 2 + b 2 . When given length a and b, you are able to calculate this len...
CA
Answered by Callum A. • Maths tutor
4219 Views

how do you find intersections between two graphical functions?

When two lines intersect, the point of intersection will be a finite set of coordinates which can be obtained from the equation of either line. A sketch of the the functions will help you identify how many p...
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Answered by William J. • Maths tutor
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Solve the inequality 5x^2 + x - 3 = 1

Set the equation equal to 0, which would be 5x^2 +x - 4 = 02) Split the equation into 2 brackets. To do this, one bracket will be (5x+ or - something) and the other will be (x + or - something), as the only ...
GS
Answered by Grace S. • Maths tutor
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Find the equation of the the tangent to the curve y=x^3 - 7x + 3 at the point (1,2)

y C =x 3 - 7x + 3 ------> equation of curve.y T =mx+c ----------------> equation of tangent, where m is the gradient of the graph and c is the value of the y-intercept (the value of y when x=o)To find ...
MB
Answered by Matthew B. • Maths tutor
3808 Views

How would you solve the inequality x^2-2x-8 >= 0?

We are looking for all the x values for which this equation holds. We know how to solve quadratic equations without the inequalities, and that is the first step here! So let's forget about the greater than p...
KG
Answered by Kirsty G. • Maths tutor
21054 Views