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Triangle ABC is a triangle with a right angle at vertex B. Length BC = 6cm and angle A = 30 degrees. How long is length AC?

Draw the triangle. BC is opposite to the angle given and we need to find the hypotenuse. Using SOHCAHTOA, we must use sine. Rearrange to find hypotenuse and then put the numbers in. Length AC = 12cm
CC
Answered by Courtney C. • Maths tutor
3859 Views

The line AB has equation 5x + 3y + 3 = 0. The line AB is parallel to the line with the equation y = mx + c. Find the value of m.

I like to separate problems into small steps that are easy to follow. In this example these would be: STEP 1: make y the subject (meaning only y on the Left hand side - LHS); 3y = -5x - 3. STEP 2: divide by ...
HS
Answered by Harrison S. • Maths tutor
3669 Views

Find the integral I of e^(2x)*cos*(x), with respect to x

Because we have a product of two functions of x, our first instinct is to apply integration by parts. Let u = e^(2x) and v' = cos(x). We then integrate v' to find v = sin(x) and differentiate u to find u' = ...
TP
Answered by Thomas P. • Maths tutor
14022 Views

Find the turning point of the line y = -2x^2 +5x -9

The first step in finding any turning point is to differentiate. To do this, we muiltiply x by its power and drop the power by 1. so in this senario we multiply the -2x by 2 giving us -4x and the power becom...
FB
Answered by Felix B. • Maths tutor
4721 Views

Where does the quadratic formula come from?

First take the general form of a quadratic equation, ax^2+bx+c=0, this can be written in completed square form, (x+b/2a)^2-(b/2a)^2+c/a=0, rearranging gives, x=-b/2a +/-(b^2/4a^2-c/a)^1/2, which can be writt...
BC
Answered by Becky C. • Maths tutor
4631 Views