Top answers


There is a right-angle triangle with hypothenus H = 5 cm and side A = 3 cm. Find the length of the third side B using Pythagoras' Theorem.

Pythagoras' theroem states that on a right-angle triangle, the square of the longest side (hypothenus) is equal to the sum of the squares of the other two sides. Therefore, H 2 = A 2 + B 2 5 2 = 3 2 + B 2 25...
AV
Answered by Ashwin V. Maths tutor
3670 Views

Intergrate 15x^2 + 7

Using the intergarting rules, you would add a power then divide that new number to the coefficent so you would get 5x^3 and just add one x to the 7 and dont forget the c. So the end answer would be 5x^3 + 7x...
WJ
Answered by William J. Maths tutor
3971 Views

Find the nth term of the sequence 3,7,11,15...

We are searching for a rule that when we put in n (n represetning where the term is in the sequence eg. 3 is the first term so n will be 1) our output is the sequence above. This rule will most likely be in ...
JS
Answered by Joanna S. Maths tutor
35318 Views

Solve 5x - 2 < 3x + 11

5x - 2 &lt; 3x + 11 --&gt; 5x &lt; 3x + 13 (Add 2) --&gt; 2x &lt; 13 (Subtract 3x) --&gt; x &lt; 13/2 (Divide by 2)
CL
Answered by Christopher L. Maths tutor
4468 Views

Given that log_{x} (7y+1) - log_{x} (2y) =1 x>4, 0<y<1 , express y in terms of x.

log_{x} (7y+1) - log{x} (2y) =1 --&gt; log_{x} [(7y+1)/2y]=1 (y =/= 0, Rules of logarithms i.e. difference of logarithms) --&gt; x = [(7y+1)/2y] (x&gt;0, Rules of logarithms i.e. log_{x} x = 1) --&gt; 2yx = ...
CL
Answered by Christopher L. Maths tutor
6669 Views